Zappon, Elena; Manzoni, Andrea; Gervasio, Paola; Quarteroni, Alfio A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 07818687 J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024). MSC: 65N55 65N30 65D05 65N12 35J15 35K57 35K05 65M06 PDFBibTeX XMLCite \textit{E. Zappon} et al., J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024; Zbl 07818687) Full Text: DOI arXiv
Africa, Pasquale Claudio; Fumagalli, Ivan; Bucelli, Michele; Zingaro, Alberto; Fedele, Marco; Dede’, Luca; Quarteroni, Alfio lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications. (English) Zbl 07803327 Comput. Phys. Commun. 296, Article ID 109039, 18 p. (2024). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{P. C. Africa} et al., Comput. Phys. Commun. 296, Article ID 109039, 18 p. (2024; Zbl 07803327) Full Text: DOI arXiv
Bucelli, Michele; Regazzoni, Francesco; Dede’, Luca; Quarteroni, Alfio Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems. arXiv:2403.03665 Preprint, arXiv:2403.03665 [math.NA] (2024). MSC: 65D05 65D12 65M60 BibTeX Cite \textit{M. Bucelli} et al., ``Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems'', Preprint, arXiv:2403.03665 [math.NA] (2024) Full Text: arXiv OA License
Cicci, Ludovica; Fresca, Stefania; Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. (English) Zbl 07817661 Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023). MSC: 92C10 35Q92 65M60 PDFBibTeX XMLCite \textit{L. Cicci} et al., Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023; Zbl 07817661) Full Text: DOI
Corti, Mattia; Antonietti, Paola F.; Dede’, Luca; Quarteroni, Alfio M. Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods. (English) Zbl 1517.65106 Math. Models Methods Appl. Sci. 33, No. 8, 1577-1609 (2023). MSC: 65N30 65N12 65N22 PDFBibTeX XMLCite \textit{M. Corti} et al., Math. Models Methods Appl. Sci. 33, No. 8, 1577--1609 (2023; Zbl 1517.65106) Full Text: DOI arXiv
Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221 Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65N99 65D05 65M12 76Z05 76W05 92C30 92C10 92C50 92-08 35Q92 PDFBibTeX XMLCite \textit{E. Zappon} et al., Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023; Zbl 1512.65221) Full Text: DOI arXiv
Bucelli, Michele; Dede, Luca; Quarteroni, Alfio; Vergara, Christian Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction. (English) Zbl 1508.92070 Commun. Comput. Phys. 32, No. 5, 1217-1256 (2022). MSC: 92C35 76Z05 74F10 65M60 PDFBibTeX XMLCite \textit{M. Bucelli} et al., Commun. Comput. Phys. 32, No. 5, 1217--1256 (2022; Zbl 1508.92070) Full Text: DOI
Tenderini, Riccardo; Pagani, Stefano; Quarteroni, Alfio; Deparis, Simone PDE-aware deep learning for inverse problems in cardiac electrophysiology. (English) Zbl 1497.65212 SIAM J. Sci. Comput. 44, No. 3, B605-B639 (2022). Reviewer: Sarah Eberle (Frankfurt am Main) MSC: 65N21 68T05 65N30 92B20 35Q92 PDFBibTeX XMLCite \textit{R. Tenderini} et al., SIAM J. Sci. Comput. 44, No. 3, B605--B639 (2022; Zbl 1497.65212) Full Text: DOI
Both, J. W.; Barnafi, N. A.; Radu, F. A.; Zunino, P.; Quarteroni, A. Iterative splitting schemes for a soft material poromechanics model. (English) Zbl 1507.74113 Comput. Methods Appl. Mech. Eng. 388, Article ID 114183, 29 p. (2022). MSC: 74F10 65M06 65M12 65M60 90C25 90C90 PDFBibTeX XMLCite \textit{J. W. Both} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114183, 29 p. (2022; Zbl 1507.74113) Full Text: DOI arXiv
Zingaro, Alberto; Bucelli, Michele; Fumagalli, Ivan; Dede’, Luca; Quarteroni, Alfio Modeling isovolumetric phases in cardiac flows by an Augmented Resistive Immersed Implicit Surface Method. arXiv:2208.09435 Preprint, arXiv:2208.09435 [math.NA] (2022). MSC: 65N30 65M60 65Z05 76Z05 76D05 92C35 BibTeX Cite \textit{A. Zingaro} et al., ``Modeling isovolumetric phases in cardiac flows by an Augmented Resistive Immersed Implicit Surface Method'', Preprint, arXiv:2208.09435 [math.NA] (2022) Full Text: arXiv OA License
Africa, Pasquale C.; Piersanti, Roberto; Fedele, Marco; Dede’, Luca; Quarteroni, Alfio An open tool based on lifex for myofibers generation in cardiac computational models. arXiv:2201.03303 Preprint, arXiv:2201.03303 [cs.MS] (2022). MSC: 68-04 68N30 35-04 65-04 65M60 65N30 65Y05 92-04 92C50 BibTeX Cite \textit{P. C. Africa} et al., ``An open tool based on lifex for myofibers generation in cardiac computational models'', Preprint, arXiv:2201.03303 [cs.MS] (2022) Full Text: arXiv OA License
Zingaro, Alberto; Dede’, Luca; Menghini, Filippo; Quarteroni, Alfio Hemodynamics of the heart’s left atrium based on a variational multiscale-LES numerical method. (English) Zbl 1492.76159 Eur. J. Mech., B, Fluids 89, 380-400 (2021). MSC: 76Z05 76M10 76M30 76F65 76D05 92C35 PDFBibTeX XMLCite \textit{A. Zingaro} et al., Eur. J. Mech., B, Fluids 89, 380--400 (2021; Zbl 1492.76159) Full Text: DOI arXiv
Dedè, Luca; Quarteroni, Alfio; Regazzoni, Francesco Mathematical and numerical models for the cardiac electromechanical function. (English) Zbl 1478.35211 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 2, 233-272 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 65M60 65L06 65N30 92C10 92C35 92C37 92C40 92C20 35A24 35C07 76D05 76Z05 78A57 78A40 PDFBibTeX XMLCite \textit{L. Dedè} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 2, 233--272 (2021; Zbl 1478.35211) Full Text: DOI
Dal Santo, Niccolò; Manzoni, Andrea; Pagani, Stefano; Quarteroni, Alfio Reduced-order modeling for applications to the cardiovascular system. (English) Zbl 1477.65157 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251-277 (2021). MSC: 65M60 65M99 65N12 76M10 76D05 76Z05 92C35 35Q35 35Q92 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251--277 (2021; Zbl 1477.65157) Full Text: DOI
Farhat, Charbel; Grimberg, Sebastian; Manzoni, Andrea; Quarteroni, Alfio Computational bottlenecks for PROMs: precomputation and hyperreduction. (English) Zbl 1483.65154 Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 181-243 (2021). Reviewer: Yinhua Xia (Hefei) MSC: 65M60 65N12 65D05 PDFBibTeX XMLCite \textit{C. Farhat} et al., in: Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 181--243 (2021; Zbl 1483.65154) Full Text: DOI
Barnafi, Nicolás; Zunino, Paolo; Dedè, Luca; Quarteroni, Alfio Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. (English) Zbl 1524.65512 Comput. Math. Appl. 91, 202-228 (2021). MSC: 65M60 65N30 76D07 76S05 76M10 65N12 65M06 76M20 74S05 74S20 65D05 74B10 35A01 35A02 65N15 92C10 74L15 35Q92 35Q74 35Q35 PDFBibTeX XMLCite \textit{N. Barnafi} et al., Comput. Math. Appl. 91, 202--228 (2021; Zbl 1524.65512) Full Text: DOI
Bucelli, Michele; Salvador, Matteo; Dede’, Luca; Quarteroni, Alfio Multipatch isogeometric analysis for electrophysiology: simulation in a human heart. (English) Zbl 1506.74391 Comput. Methods Appl. Mech. Eng. 376, Article ID 113666, 31 p. (2021). MSC: 74S05 74L15 65N30 65D07 74S22 92C30 PDFBibTeX XMLCite \textit{M. Bucelli} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113666, 31 p. (2021; Zbl 1506.74391) Full Text: DOI
Regazzoni, F.; Quarteroni, A. An oscillation-free fully staggered algorithm for velocity-dependent active models of cardiac mechanics. (English) Zbl 1506.74213 Comput. Methods Appl. Mech. Eng. 373, Article ID 113506, 30 p. (2021). MSC: 74L15 65M60 92C50 PDFBibTeX XMLCite \textit{F. Regazzoni} and \textit{A. Quarteroni}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113506, 30 p. (2021; Zbl 1506.74213) Full Text: DOI
Piersanti, Roberto; Africa, Pasquale C.; Fedele, Marco; Vergara, Christian; Dedè, Luca; Corno, Antonio F.; Quarteroni, Alfio Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations. (English) Zbl 1506.74211 Comput. Methods Appl. Mech. Eng. 373, Article ID 113468, 33 p. (2021). MSC: 74L15 74F15 92C30 PDFBibTeX XMLCite \textit{R. Piersanti} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113468, 33 p. (2021; Zbl 1506.74211) Full Text: DOI arXiv
Azzolin, Luca; Dedè, Luca; Gerbi, Antonello; Quarteroni, Alfio Effect of fibre orientation and bulk modulus on the electromechanical modelling of human ventricles. (English) Zbl 1486.92013 Math. Eng. (Springfield) 2, No. 4, 614-638 (2020). MSC: 92C10 92C05 65M60 PDFBibTeX XMLCite \textit{L. Azzolin} et al., Math. Eng. (Springfield) 2, No. 4, 614--638 (2020; Zbl 1486.92013) Full Text: DOI
Dede’, L.; Gerbi, A.; Quarteroni, A. Segregated algorithms for the numerical simulation of cardiac electromechanics in the left human ventricle. (English) Zbl 1446.74210 Ambrosi, Davide (ed.) et al., The mathematics of mechanobiology. Cetraro, Italy, August 27–31, 2018. Lecture notes given at the CIME course. Cham: Springer. Lect. Notes Math. 2260, 81-116 (2020). MSC: 74S05 74S20 74L15 74F15 92-08 92C10 PDFBibTeX XMLCite \textit{L. Dede'} et al., Lect. Notes Math. 2260, 81--116 (2020; Zbl 1446.74210) Full Text: DOI
Gervasio, Paola; Dedè, Luca; Chanon, Ondine; Quarteroni, Alfio A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties. (English) Zbl 1440.65247 J. Sci. Comput. 83, No. 1, Paper No. 18, 45 p. (2020). MSC: 65N35 65N30 65N15 65J05 65F35 35J05 65D07 PDFBibTeX XMLCite \textit{P. Gervasio} et al., J. Sci. Comput. 83, No. 1, Paper No. 18, 45 p. (2020; Zbl 1440.65247) Full Text: DOI
Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. Multi space reduced basis preconditioners for parametrized Stokes equations. (English) Zbl 1442.65357 Comput. Math. Appl. 77, No. 6, 1583-1604 (2019). MSC: 65N30 65N22 35Q35 76D07 76M10 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., Comput. Math. Appl. 77, No. 6, 1583--1604 (2019; Zbl 1442.65357) Full Text: DOI
Bartezzaghi, Andrea; Dedè, Luca; Quarteroni, Alfio Biomembrane modeling with isogeometric analysis. (English) Zbl 1440.74193 Comput. Methods Appl. Mech. Eng. 347, 103-119 (2019). MSC: 74K15 74L15 74S05 65M60 65D07 PDFBibTeX XMLCite \textit{A. Bartezzaghi} et al., Comput. Methods Appl. Mech. Eng. 347, 103--119 (2019; Zbl 1440.74193) Full Text: DOI
Dal Santo, Niccolo; Deparis, S.; Manzoni, A.; Quarteroni, A. An algebraic least squares reduced basis method for the solution of nonaffinely parametrized Stokes equations. (English) Zbl 1440.76055 Comput. Methods Appl. Mech. Eng. 344, 186-208 (2019). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., Comput. Methods Appl. Mech. Eng. 344, 186--208 (2019; Zbl 1440.76055) Full Text: DOI
Pegolotti, Luca; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria. (English) Zbl 1440.78006 Comput. Methods Appl. Mech. Eng. 343, 52-73 (2019). MSC: 78M10 92-08 65M60 65D07 78A35 92C30 PDFBibTeX XMLCite \textit{L. Pegolotti} et al., Comput. Methods Appl. Mech. Eng. 343, 52--73 (2019; Zbl 1440.78006) Full Text: DOI
Gerbi, Antonello; Dedè, Luca; Quarteroni, Alfio A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle. (English) Zbl 1442.92006 Math. Eng. (Springfield) 1, No. 1, 1-46 (2019). MSC: 92C10 92C30 35Q92 65M60 PDFBibTeX XMLCite \textit{A. Gerbi} et al., Math. Eng. (Springfield) 1, No. 1, 1--46 (2019; Zbl 1442.92006) Full Text: DOI
Manzoni, Andrea; Quarteroni, Alfio; Salsa, Sandro A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations. (English) Zbl 1434.49021 Math. Eng. (Springfield) 1, No. 2, 252-280 (2019). MSC: 49K20 35Q30 76D05 76D55 65N30 65K10 65K15 PDFBibTeX XMLCite \textit{A. Manzoni} et al., Math. Eng. (Springfield) 1, No. 2, 252--280 (2019; Zbl 1434.49021) Full Text: DOI
Gervasio, Paola; Quarteroni, Alfio The INTERNODES method for non-conforming discretizations of PDEs. (English) Zbl 1449.65344 Commun. Appl. Math. Comput. 1, No. 3, 361-401 (2019). MSC: 65N55 65N30 65N12 65D05 65N35 76S05 PDFBibTeX XMLCite \textit{P. Gervasio} and \textit{A. Quarteroni}, Commun. Appl. Math. Comput. 1, No. 3, 361--401 (2019; Zbl 1449.65344) Full Text: DOI
Deparis, Simone; Deville, Michel O.; Menghini, Filippo; Pegolotti, Luca; Quarteroni, Alfio Application of the rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations. (English) Zbl 1411.76059 Comput. Fluids 179, 112-122 (2019). MSC: 76M10 65M60 65L80 76D05 PDFBibTeX XMLCite \textit{S. Deparis} et al., Comput. Fluids 179, 112--122 (2019; Zbl 1411.76059) Full Text: DOI
Gervasio, Paola; Quarteroni, Alfio INTERNODES for heterogeneous couplings. (English) Zbl 1442.65428 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 59-71 (2018). MSC: 65N55 65N30 65M06 76S05 76D05 76D07 65D05 PDFBibTeX XMLCite \textit{P. Gervasio} and \textit{A. Quarteroni}, Lect. Notes Comput. Sci. Eng. 125, 59--71 (2018; Zbl 1442.65428) Full Text: DOI
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. (English) Zbl 1440.92003 Comput. Methods Appl. Mech. Eng. 340, 530-558 (2018). MSC: 92-08 65M60 92C30 PDFBibTeX XMLCite \textit{S. Pagani} et al., Comput. Methods Appl. Mech. Eng. 340, 530--558 (2018; Zbl 1440.92003) Full Text: DOI Link
Gervasio, Paola; Quarteroni, Alfio Analysis of the INTERNODES method for non-conforming discretizations of elliptic equations. (English) Zbl 1440.65203 Comput. Methods Appl. Mech. Eng. 334, 138-166 (2018). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{P. Gervasio} and \textit{A. Quarteroni}, Comput. Methods Appl. Mech. Eng. 334, 138--166 (2018; Zbl 1440.65203) Full Text: DOI
Antonietti, Paola F.; Mazzieri, Ilario; Dal Santo, Niccolò; Quarteroni, Alfio A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics. (English) Zbl 1462.65127 IMA J. Numer. Anal. 38, No. 4, 1709-1734 (2018). MSC: 65M20 65L60 74B05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., IMA J. Numer. Anal. 38, No. 4, 1709--1734 (2018; Zbl 1462.65127) Full Text: DOI Link
Dedè, Luca; Quarteroni, Alfio Isogeometric analysis of a phase field model for Darcy flows with discontinuous data. (English) Zbl 1397.65116 Chin. Ann. Math., Ser. B 39, No. 3, 487-512 (2018). MSC: 65L60 74S05 80A22 PDFBibTeX XMLCite \textit{L. Dedè} and \textit{A. Quarteroni}, Chin. Ann. Math., Ser. B 39, No. 3, 487--512 (2018; Zbl 1397.65116) Full Text: DOI
Santo, Niccolò Dal; Deparis, Simone; Manzoni, Andrea; Quarteroni, Alfio Multi space reduced basis preconditioners for large-scale parametrized PDEs. (English) Zbl 1453.65416 SIAM J. Sci. Comput. 40, No. 2, A954-A983 (2018). MSC: 65N30 65F08 65F10 PDFBibTeX XMLCite \textit{N. D. Santo} et al., SIAM J. Sci. Comput. 40, No. 2, A954--A983 (2018; Zbl 1453.65416) Full Text: DOI
Quarteroni, Alfio Numerical models for differential problems. 3rd edition. (English) Zbl 1436.65003 MS&A. Modeling, Simulation and Applications 16. Cham: Springer (ISBN 978-3-319-49315-2/hbk; 978-3-319-49316-9/ebook). xvii, 692 p. (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65Mxx 65Nxx 76D05 76M10 76M12 76M22 65D07 65K10 PDFBibTeX XMLCite \textit{A. Quarteroni}, Numerical models for differential problems. 3rd edition. Cham: Springer (2018; Zbl 1436.65003) Full Text: DOI
Quarteroni, Alfio; Lassila, Toni; Rossi, Simone; Ruiz-Baier, Ricardo Integrated heart – coupling multiscale and multiphysics models for the simulation of the cardiac function. (English) Zbl 1439.74208 Comput. Methods Appl. Mech. Eng. 314, 345-407 (2017). MSC: 74L15 76Z05 92C10 65M60 35Q92 74B20 74F10 74F25 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Comput. Methods Appl. Mech. Eng. 314, 345--407 (2017; Zbl 1439.74208) Full Text: DOI
Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394 Comput. Methods Appl. Mech. Eng. 324, 300-326 (2017). MSC: 74S05 65N30 74L15 92C10 PDFBibTeX XMLCite \textit{D. Bonomi} et al., Comput. Methods Appl. Mech. Eng. 324, 300--326 (2017; Zbl 1439.74394) Full Text: DOI Link
Patelli, Alessandro S.; Dedè, Luca; Lassila, Toni; Bartezzaghi, Andrea; Quarteroni, Alfio Isogeometric approximation of cardiac electrophysiology models on surfaces: an accuracy study with application to the human left atrium. (English) Zbl 1439.76090 Comput. Methods Appl. Mech. Eng. 317, 248-273 (2017). MSC: 76M10 65M60 65D07 74L15 92C30 PDFBibTeX XMLCite \textit{A. S. Patelli} et al., Comput. Methods Appl. Mech. Eng. 317, 248--273 (2017; Zbl 1439.76090) Full Text: DOI
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Efficient state/parameter estimation in nonlinear unsteady PDEs by a reduced basis ensemble Kalman filter. (English) Zbl 1398.65280 SIAM/ASA J. Uncertain. Quantif. 5, 890-921 (2017). MSC: 65N21 65N30 35R30 PDFBibTeX XMLCite \textit{S. Pagani} et al., SIAM/ASA J. Uncertain. Quantif. 5, 890--921 (2017; Zbl 1398.65280) Full Text: DOI
Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Quarteroni, Alfio \(hp\)-version discontinuous Galerkin approximations of the elastodynamics equation. (English) Zbl 1388.74090 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 3-19 (2017). MSC: 74S05 35Q74 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Lect. Notes Comput. Sci. Eng. 119, 3--19 (2017; Zbl 1388.74090) Full Text: DOI
Forti, Davide; Quarteroni, Alfio; Deparis, Simone A parallel algorithm for the solution of large-scale nonconforming fluid-structure interaction problems in hemodynamics. (English) Zbl 1399.65237 J. Comput. Math. 35, No. 3, 363-380 (2017). MSC: 65M55 65M60 74F10 65F08 65Y05 92C35 76Q05 76Z05 PDFBibTeX XMLCite \textit{D. Forti} et al., J. Comput. Math. 35, No. 3, 363--380 (2017; Zbl 1399.65237) Full Text: DOI
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation. (English) Zbl 1381.65086 ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1197-1221 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65M60 65M12 65M15 35L05 PDFBibTeX XMLCite \textit{S. Zhu} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1197--1221 (2017; Zbl 1381.65086) Full Text: DOI Link
Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola Scientific computing. Exercises and solved problems with MATLAB and Octave. 6th edition. (Calcolo scientifico. Esercizi e problemi risolti con MATLAB e Octave.) (Italian) Zbl 1372.65001 Unitext 105. La Matematica per il 3+2. Milan: Springer (ISBN 978-88-470-3952-0/pbk; 978-88-470-3953-7/ebook). xx, 523 p. (2017). MSC: 65-01 65Hxx 65Dxx 15-04 41-04 12-04 34-04 68W30 65N30 65Fxx 65Lxx 65N06 35-04 65Y15 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Calcolo scientifico. Esercizi e problemi risolti con MATLAB e Octave (Italian). 6th edition. Milan: Springer (2017; Zbl 1372.65001) Full Text: DOI
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis and proper orthogonal decomposition for parabolic problems. (English) Zbl 1380.65295 Numer. Math. 135, No. 2, 333-370 (2017). MSC: 65M60 35K20 65D07 65M12 65M15 PDFBibTeX XMLCite \textit{S. Zhu} et al., Numer. Math. 135, No. 2, 333--370 (2017; Zbl 1380.65295) Full Text: DOI Link
Iapichino, Laura; Quarteroni, Alfio; Rozza, Gianluigi Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries. (English) Zbl 1443.65340 Comput. Math. Appl. 71, No. 1, 408-430 (2016). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{L. Iapichino} et al., Comput. Math. Appl. 71, No. 1, 408--430 (2016; Zbl 1443.65340) Full Text: DOI
Bartezzaghi, Andrea; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis of geometric partial differential equations. (English) Zbl 1439.65145 Comput. Methods Appl. Mech. Eng. 311, 625-647 (2016). MSC: 65N30 65D07 35J93 35R01 53A05 PDFBibTeX XMLCite \textit{A. Bartezzaghi} et al., Comput. Methods Appl. Mech. Eng. 311, 625--647 (2016; Zbl 1439.65145) Full Text: DOI
Benzi, Michele; Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics. (English) Zbl 1423.76212 Comput. Methods Appl. Mech. Eng. 300, 129-145 (2016). MSC: 76M10 65M60 65M22 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Benzi} et al., Comput. Methods Appl. Mech. Eng. 300, 129--145 (2016; Zbl 1423.76212) Full Text: DOI
Deparis, Simone; Forti, Davide; Gervasio, Paola; Quarteroni, Alfio INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces. (English) Zbl 1390.65142 Comput. Fluids 141, 22-41 (2016). MSC: 65N30 65N35 65N55 PDFBibTeX XMLCite \textit{S. Deparis} et al., Comput. Fluids 141, 22--41 (2016; Zbl 1390.65142) Full Text: DOI
Deparis, Simone; Forti, Davide; Grandperrin, Gwenol; Quarteroni, Alfio Facsi: a block parallel preconditioner for fluid-structure interaction in hemodynamics. (English) Zbl 1373.74036 J. Comput. Phys. 327, 700-718 (2016). MSC: 74F10 76Z05 76D05 92C35 92C50 PDFBibTeX XMLCite \textit{S. Deparis} et al., J. Comput. Phys. 327, 700--718 (2016; Zbl 1373.74036) Full Text: DOI
Pacciarini, Paolo; Gervasio, Paola; Quarteroni, Alfio Spectral based discontinuous Galerkin reduced basis element method for parametrized Stokes problems. (English) Zbl 1365.76125 Comput. Math. Appl. 72, No. 8, 1977-1987 (2016). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{P. Pacciarini} et al., Comput. Math. Appl. 72, No. 8, 1977--1987 (2016; Zbl 1365.76125) Full Text: DOI
Deparis, Simone; Forti, Davide; Quarteroni, Alfio A fluid-structure interaction algorithm using radial basis function interpolation between non-conforming interfaces. (English) Zbl 1356.74196 Bazilevs, Yuri (ed.) et al., Advances in computational fluid-structure interaction and flow simulation. New methods and challenging computations. Based on the presentations at the conference, AFSI, Tokyo, Japan, March 19–21, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-40825-5/hbk; 978-3-319-40827-9/ebook). Modeling and Simulation in Science, Engineering and Technology, 439-450 (2016). MSC: 74S05 74S30 74F10 76M10 PDFBibTeX XMLCite \textit{S. Deparis} et al., in: Advances in computational fluid-structure interaction and flow simulation. New methods and challenging computations. Based on the presentations at the conference, AFSI, Tokyo, Japan, March 19--21, 2014. Basel: Birkhäuser/Springer. 439--450 (2016; Zbl 1356.74196) Full Text: DOI
Ballarin, Francesco; Faggiano, Elena; Ippolito, Sonia; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi; Scrofani, Roberto Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization. (English) Zbl 1349.76173 J. Comput. Phys. 315, 609-628 (2016). MSC: 76M10 92-08 76Z05 92C35 65M60 PDFBibTeX XMLCite \textit{F. Ballarin} et al., J. Comput. Phys. 315, 609--628 (2016; Zbl 1349.76173) Full Text: DOI
Maday, Yvon; Manzoni, Andrea; Quarteroni, Alfio An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems. (Une stratégie intrinsèque de stabilisation en ligne pour l’approximation bases réduites de problèmes paramètrés avec transport dominant.) (English. Abridged French version) Zbl 1353.65093 C. R., Math., Acad. Sci. Paris 354, No. 12, 1188-1194 (2016). MSC: 65M12 35L02 65M60 PDFBibTeX XMLCite \textit{Y. Maday} et al., C. R., Math., Acad. Sci. Paris 354, No. 12, 1188--1194 (2016; Zbl 1353.65093) Full Text: DOI
Antonietti, Paola F.; Ayuso de Dios, Blanca; Mazzieri, Ilario; Quarteroni, Alfio Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem. (English) Zbl 1383.74082 J. Sci. Comput. 68, No. 1, 143-170 (2016). MSC: 74S05 65M60 65M12 74B05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Sci. Comput. 68, No. 1, 143--170 (2016; Zbl 1383.74082) Full Text: DOI arXiv Link
Tagliabue, Anna; Dedè, Luca; Quarteroni, Alfio Nitsche’s method for parabolic partial differential equations with mixed time varying boundary conditions. (English) Zbl 1382.65327 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 541-563 (2016). MSC: 65M60 65M12 35K20 PDFBibTeX XMLCite \textit{A. Tagliabue} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 2, 541--563 (2016; Zbl 1382.65327) Full Text: DOI Link
Antonietti, Paola F.; Pacciarini, Paolo; Quarteroni, Alfio A discontinuous Galerkin reduced basis element method for elliptic problems. (English) Zbl 1343.65132 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 337-360 (2016). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N12 35J25 65N55 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 2, 337--360 (2016; Zbl 1343.65132) Full Text: DOI Link
Astorino, Matteo; Chouly, Franz; Quarteroni, Alfio A time-parallel framework for coupling finite element and lattice Boltzmann methods. (English) Zbl 1336.65161 AMRX, Appl. Math. Res. Express 2016, No. 1, 24-67 (2016). MSC: 65M60 35K05 65Y05 65M75 PDFBibTeX XMLCite \textit{M. Astorino} et al., AMRX, Appl. Math. Res. Express 2016, No. 1, 24--67 (2016; Zbl 1336.65161) Full Text: DOI
Discacciati, Marco; Gervasio, Paola; Giacomini, Alessandro; Quarteroni, Alfio The interface control domain decomposition method for Stokes-Darcy coupling. (English) Zbl 1337.49056 SIAM J. Numer. Anal. 54, No. 2, 1039-1068 (2016). Reviewer: Bülent Karasözen (Ankara) MSC: 49M27 49K20 65N55 65N30 65N35 76D07 76S05 PDFBibTeX XMLCite \textit{M. Discacciati} et al., SIAM J. Numer. Anal. 54, No. 2, 1039--1068 (2016; Zbl 1337.49056) Full Text: DOI
Antonietti, Paola F.; Marcati, Carlo; Mazzieri, Ilario; Quarteroni, Alfio High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. (English) Zbl 1398.74291 Numer. Algorithms 71, No. 1, 181-206 (2016). MSC: 74S05 74S25 65M60 74J05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Numer. Algorithms 71, No. 1, 181--206 (2016; Zbl 1398.74291) Full Text: DOI
Bartezzaghi, Andrea; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis of high order partial differential equations on surfaces. (English) Zbl 1425.65145 Comput. Methods Appl. Mech. Eng. 295, 446-469 (2015). MSC: 65N30 65D17 35J40 PDFBibTeX XMLCite \textit{A. Bartezzaghi} et al., Comput. Methods Appl. Mech. Eng. 295, 446--469 (2015; Zbl 1425.65145) Full Text: DOI Link
Dedè, Luca; Quarteroni, Alfio Isogeometric analysis for second order partial differential equations on surfaces. (English) Zbl 1425.65156 Comput. Methods Appl. Mech. Eng. 284, 807-834 (2015). MSC: 65N30 58J99 65D17 PDFBibTeX XMLCite \textit{L. Dedè} and \textit{A. Quarteroni}, Comput. Methods Appl. Mech. Eng. 284, 807--834 (2015; Zbl 1425.65156) Full Text: DOI Link
Dedè, Luca; Jäggli, Christoph; Quarteroni, Alfio Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation. (English) Zbl 1423.74094 Comput. Methods Appl. Mech. Eng. 284, 320-348 (2015). MSC: 74B05 65D17 65N30 74J05 PDFBibTeX XMLCite \textit{L. Dedè} et al., Comput. Methods Appl. Mech. Eng. 284, 320--348 (2015; Zbl 1423.74094) Full Text: DOI
Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. (English) Zbl 1352.76039 Int. J. Numer. Methods Eng. 102, No. 5, 1136-1161 (2015). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{F. Ballarin} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1136--1161 (2015; Zbl 1352.76039) Full Text: DOI Link
Kashiwabara, Takahito; Colciago, Claudia Maria; Dedè, Luca; Quarteroni, Alfio Well-posedness, regularity, and convergence analysis of the finite element approximation of a generalized Robin boundary value problem. (English) Zbl 1326.65161 SIAM J. Numer. Anal. 53, No. 1, 105-126 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 65N30 35J05 65N12 65N15 PDFBibTeX XMLCite \textit{T. Kashiwabara} et al., SIAM J. Numer. Anal. 53, No. 1, 105--126 (2015; Zbl 1326.65161) Full Text: DOI Link
Andreianov, Boris; Bendahmane, Mostafa; Quarteroni, Alfio; Ruiz-Baier, Ricardo Solvability analysis and numerical approximation of linearized cardiac electromechanics. (English) Zbl 1309.74049 Math. Models Methods Appl. Sci. 25, No. 5, 959-993 (2015). MSC: 74L10 74F15 74S05 35K57 92C10 65M60 PDFBibTeX XMLCite \textit{B. Andreianov} et al., Math. Models Methods Appl. Sci. 25, No. 5, 959--993 (2015; Zbl 1309.74049) Full Text: DOI
Dupraz, Marie; Filippi, Simonetta; Gizzi, Alessio; Quarteroni, Alfio; Ruiz-Baier, Ricardo Finite element and finite volume-element simulation of pseudo-ECGs and cardiac alternans. (English) Zbl 1309.65111 Math. Methods Appl. Sci. 38, No. 6, 1046-1058 (2015). MSC: 65M60 35K57 PDFBibTeX XMLCite \textit{M. Dupraz} et al., Math. Methods Appl. Sci. 38, No. 6, 1046--1058 (2015; Zbl 1309.65111) Full Text: DOI Link
Pezzuto, Simone; Ambrosi, Davide; Quarteroni, Alfio An orthotropic active-strain model for the myocardium mechanics and its numerical approximation. (English) Zbl 1406.74502 Eur. J. Mech., A, Solids 48, 83-96 (2014). MSC: 74L15 92C30 65N30 74F15 PDFBibTeX XMLCite \textit{S. Pezzuto} et al., Eur. J. Mech., A, Solids 48, 83--96 (2014; Zbl 1406.74502) Full Text: DOI
Tagliabue, Anna; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics. (English) Zbl 1391.76360 Comput. Fluids 102, 277-303 (2014). MSC: 76M10 65N30 65D17 76D05 PDFBibTeX XMLCite \textit{A. Tagliabue} et al., Comput. Fluids 102, 277--303 (2014; Zbl 1391.76360) Full Text: DOI
Deparis, Simone; Grandperrin, Gwenol; Quarteroni, Alfio Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations. (English) Zbl 1391.76887 Comput. Fluids 92, 253-273 (2014). MSC: 76Z05 65M22 65Y05 76D05 92C35 PDFBibTeX XMLCite \textit{S. Deparis} et al., Comput. Fluids 92, 253--273 (2014; Zbl 1391.76887) Full Text: DOI
Ruiz-Baier, Ricardo; Gizzi, Alessio; Rossi, Simone; Cherubini, Christian; Laadhari, Aymen; Filippi, Simonetta; Quarteroni, Alfio Mathematical modelling of active contraction in isolated cardiomyocytes. (English) Zbl 1304.92054 Math. Med. Biol. 31, No. 3, 259-283 (2014). Reviewer: Yuriy V. Rogovchenko (Kristiansand) MSC: 92C37 92C50 PDFBibTeX XMLCite \textit{R. Ruiz-Baier} et al., Math. Med. Biol. 31, No. 3, 259--283 (2014; Zbl 1304.92054) Full Text: DOI Link
Quarteroni, Alfio Numerical models for differential problems. Translated from the 5th Italian edition by Silvia Quarteroni. 2nd ed. (English) Zbl 1285.65054 MS&A. Modeling, Simulation and Applications 8. Milano: Springer (ISBN 978-88-470-5521-6/hbk; 978-88-470-5522-3/ebook). xix, 656 p. (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65Mxx 65Nxx 76D05 76M10 76M12 76M22 65-02 65K10 PDFBibTeX XMLCite \textit{A. Quarteroni}, Numerical models for differential problems. Translated from the 5th Italian edition by Silvia Quarteroni. 2nd ed. Milano: Springer (2014; Zbl 1285.65054) Full Text: DOI
Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola Scientific computing with MATLAB and Octave. 4th ed. (English) Zbl 1306.65001 Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN 978-3-642-45366-3/hbk; 978-3-642-45367-0/ebook). xviii, 442 p. (2014). Reviewer: Robert Plato (Siegen) MSC: 65-01 65B05 65Dxx 65F05 65F10 65F15 65K10 65Lxx 65N06 65N30 65Yxx PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Scientific computing with MATLAB and Octave. 4th ed. Berlin: Springer (2014; Zbl 1306.65001) Full Text: DOI
Antonietti, Paola F.; Mazzieri, Ilario; Quarteroni, Alfio; Rapetti, Francesca High order space-time discretization for elastic wave propagation problems. (English) Zbl 1417.74012 Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer. Lect. Notes Comput. Sci. Eng. 95, 87-97 (2014). MSC: 74J25 65M70 65M60 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Lect. Notes Comput. Sci. Eng. 95, 87--97 (2014; Zbl 1417.74012) Full Text: DOI
Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto; Gervasio, Paola Numerical mathematics. 4th ed. (Matematica numerica.) (Italian) Zbl 1293.65001 Unitext 77. La Matematica per il 3+2. Milan: Springer (ISBN 978-88-470-5643-5/pbk; 978-88-470-5644-2/ebook). xvii, 529 p. (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Matematica numerica (Italian). 4th ed. Milan: Springer (2014; Zbl 1293.65001) Full Text: DOI
Discacciati, Marco; Hacker, David; Quarteroni, Alfio; Quinodoz, Samuel; Tissot, Stéphanie; Wurm, Florian M. Numerical simulation of orbitally shaken viscous fluids with free surface. (English) Zbl 1430.76113 Int. J. Numer. Methods Fluids 71, No. 3, 294-315 (2013). MSC: 76D05 76M10 76T10 PDFBibTeX XMLCite \textit{M. Discacciati} et al., Int. J. Numer. Methods Fluids 71, No. 3, 294--315 (2013; Zbl 1430.76113) Full Text: DOI Link
Laadhari, A.; Ruiz-Baier, R.; Quarteroni, A. Fully Eulerian finite element approximation of a fluid-structure interaction problem in cardiac cells. (English) Zbl 1352.74388 Int. J. Numer. Methods Eng. 96, No. 11, 712-738 (2013). MSC: 74S05 76M10 92-08 65M60 74F10 74L15 76Z05 92C37 PDFBibTeX XMLCite \textit{A. Laadhari} et al., Int. J. Numer. Methods Eng. 96, No. 11, 712--738 (2013; Zbl 1352.74388) Full Text: DOI Link
Malossi, A. Cristiano I.; Blanco, Pablo J.; Crosetto, Paolo; Deparis, Simone; Quarteroni, Alfio Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels. (English) Zbl 1310.92017 Multiscale Model. Simul. 11, No. 2, 474-506 (2013). MSC: 92C35 65M60 76Z05 PDFBibTeX XMLCite \textit{A. C. I. Malossi} et al., Multiscale Model. Simul. 11, No. 2, 474--506 (2013; Zbl 1310.92017) Full Text: DOI Link
Chen, Peng; Quarteroni, Alfio Accurate and efficient evaluation of failure probability for partial different equations with random input data. (English) Zbl 1286.65156 Comput. Methods Appl. Mech. Eng. 267, 233-260 (2013). MSC: 65N30 65N75 74S60 35J25 35R60 60H25 60H35 PDFBibTeX XMLCite \textit{P. Chen} and \textit{A. Quarteroni}, Comput. Methods Appl. Mech. Eng. 267, 233--260 (2013; Zbl 1286.65156) Full Text: DOI
Discacciati, Marco; Gervasio, Paola; Quarteroni, Alfio The interface control domain decomposition (ICDD) method for elliptic problems. (English) Zbl 1284.65180 SIAM J. Control Optim. 51, No. 5, 3434-3458 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 49J20 49K20 65N30 65N35 65K10 35J25 PDFBibTeX XMLCite \textit{M. Discacciati} et al., SIAM J. Control Optim. 51, No. 5, 3434--3458 (2013; Zbl 1284.65180) Full Text: DOI Link
Discacciati, Marco; Quarteroni, Alfio; Quinodoz, Samuel Numerical approximation of internal discontinuity interface problems. (English) Zbl 1281.65146 SIAM J. Sci. Comput. 35, No. 5, A2341-A2369 (2013). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{M. Discacciati} et al., SIAM J. Sci. Comput. 35, No. 5, A2341--A2369 (2013; Zbl 1281.65146) Full Text: DOI Link
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio Reduced basis method for parametrized elliptic optimal control problems. (English) Zbl 1280.49046 SIAM J. Sci. Comput. 35, No. 5, A2316-A2340 (2013). MSC: 49M30 49M25 35Q93 65K10 65M15 65M60 65N12 49J20 93C20 PDFBibTeX XMLCite \textit{F. Negri} et al., SIAM J. Sci. Comput. 35, No. 5, A2316--A2340 (2013; Zbl 1280.49046) Full Text: DOI Link
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations. (English) Zbl 1281.49015 SIAM J. Numer. Anal. 51, No. 5, 2700-2722 (2013). MSC: 49J55 49J20 49M25 60H15 65K10 65C30 93E20 35J20 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM J. Numer. Anal. 51, No. 5, 2700--2722 (2013; Zbl 1281.49015) Full Text: DOI
Baroli, Davide; Quarteroni, Alfio; Ruiz-Baier, Ricardo Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity. (English) Zbl 1271.74030 Adv. Comput. Math. 39, No. 2, 425-443 (2013). MSC: 74B20 65N30 65N12 74S05 PDFBibTeX XMLCite \textit{D. Baroli} et al., Adv. Comput. Math. 39, No. 2, 425--443 (2013; Zbl 1271.74030) Full Text: DOI Link
Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi Generalized reduced basis methods and \(n\)-width estimates for the approximation of the solution manifold of parametric PDEs. (English) Zbl 1273.35024 Boll. Unione Mat. Ital. (9) 6, No. 1, 113-135 (2013). MSC: 35A35 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{T. Lassila} et al., Boll. Unione Mat. Ital. (9) 6, No. 1, 113--135 (2013; Zbl 1273.35024)
D’Angelo, Carlo; Panasenko, Grigory; Quarteroni, Alfio Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interface. (English) Zbl 1270.35062 Appl. Anal. 92, No. 1, 158-171 (2013). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35B27 35J25 65N30 76D07 76D05 76M55 PDFBibTeX XMLCite \textit{C. D'Angelo} et al., Appl. Anal. 92, No. 1, 158--171 (2013; Zbl 1270.35062) Full Text: DOI
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi Shape optimization for viscous flows by reduced basis methods and free-form deformation. (English) Zbl 1412.76031 Int. J. Numer. Methods Fluids 70, No. 5, 646-670 (2012). MSC: 76D07 76M10 PDFBibTeX XMLCite \textit{A. Manzoni} et al., Int. J. Numer. Methods Fluids 70, No. 5, 646--670 (2012; Zbl 1412.76031) Full Text: DOI Link
Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi Computational reduction for parametrized PDEs: strategies and applications. (English) Zbl 1432.65171 Milan J. Math. 80, No. 2, 283-309 (2012). MSC: 65N30 35J25 76M10 76D55 76G25 49J20 PDFBibTeX XMLCite \textit{A. Manzoni} et al., Milan J. Math. 80, No. 2, 283--309 (2012; Zbl 1432.65171) Full Text: DOI Link
Lassila, Toni; Quarteroni, Alfio; Rozza, Gianluigi A reduced basis model with parametric coupling for fluid-structure interaction problems. (English) Zbl 1390.74053 SIAM J. Sci. Comput. 34, No. 2, A1187-A1213 (2012). MSC: 74F10 74S05 65N30 74S25 76D07 76M10 PDFBibTeX XMLCite \textit{T. Lassila} et al., SIAM J. Sci. Comput. 34, No. 2, A1187--A1213 (2012; Zbl 1390.74053) Full Text: DOI Link
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R. An active strain electromechanical model for cardiac tissue. (English) Zbl 1242.92016 Int. J. Numer. Methods Biomed. Eng. 28, No. 1, 52-71 (2012). MSC: 92C30 92C05 78A70 92C10 35K57 65N30 35Q92 PDFBibTeX XMLCite \textit{F. Nobile} et al., Int. J. Numer. Methods Biomed. Eng. 28, No. 1, 52--71 (2012; Zbl 1242.92016) Full Text: DOI Link
Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola Scientific computing. Exercises and solved problems with MATLAB and Octave. 5th ed. (Calcolo scientifico. Esercizi e problemi risolti con MATLAB e Octave.) (Italian) Zbl 1258.65002 Unitext 62. La Matematica per il 3+2. Milano: Springer (ISBN 978-88-470-2744-2/hbk). xviii, 450 p. (2012). MSC: 65-01 65Hxx 65Dxx 15-04 41-04 12-04 34-04 68W30 65N30 65Fxx 65Lxx 65N06 35-04 65Y15 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Calcolo scientifico. Esercizi e problemi risolti con MATLAB e Octave (Italian). 5th ed. Milano: Springer (2012; Zbl 1258.65002)
Quarteroni, Alfio; Rozza, Gianluigi; Manzoni, Andrea Certified reduced basis approximation for parametrized partial differential equations and applications. (English) Zbl 1273.65148 J. Math. Ind. 1, Paper No. 3, 49 p. (2011). MSC: 65M60 65N30 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., J. Math. Ind. 1, Paper No. 3, 49 p. (2011; Zbl 1273.65148) Full Text: DOI
Gaudio, Loredana; Quarteroni, Alfio \(HN\)-adaptive spectral element discretization of optimal control problems for environmental applications. (English) Zbl 1242.49060 S\(\vec{\text{e}}\)MA J. 53, 55-69 (2011). MSC: 49M05 76D55 76M22 86A10 65N30 65N35 PDFBibTeX XMLCite \textit{L. Gaudio} and \textit{A. Quarteroni}, S\(\vec{\text{e}}\)MA J. 53, 55--69 (2011; Zbl 1242.49060) Full Text: DOI
Migliorati, Giovanni; Quarteroni, Alfio Multilevel Schwarz methods for elliptic partial differential equations. (English) Zbl 1230.65120 Comput. Methods Appl. Mech. Eng. 200, No. 25-28, 2282-2296 (2011). MSC: 65N22 65N55 PDFBibTeX XMLCite \textit{G. Migliorati} and \textit{A. Quarteroni}, Comput. Methods Appl. Mech. Eng. 200, No. 25--28, 2282--2296 (2011; Zbl 1230.65120) Full Text: DOI
Quarteroni, Alfio; Ruiz-Baier, Ricardo Analysis of a finite volume element method for the Stokes problem. (English) Zbl 1230.65130 Numer. Math. 118, No. 4, 737-764 (2011). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N08 35Q30 65N12 65N15 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{R. Ruiz-Baier}, Numer. Math. 118, No. 4, 737--764 (2011; Zbl 1230.65130) Full Text: DOI
Longoni, Matteo; Malossi, A. Cristiano I.; Quarteroni, Alfio; Villa, Andrea; Ruffo, Paolo An ALE-based numerical technique for modeling sedimentary basin evolution featuring layer deformations and faults. (English) Zbl 1214.86005 J. Comput. Phys. 230, No. 8, 3230-3248 (2011). MSC: 86A60 65N30 76A05 PDFBibTeX XMLCite \textit{M. Longoni} et al., J. Comput. Phys. 230, No. 8, 3230--3248 (2011; Zbl 1214.86005) Full Text: DOI Link
Lesinigo, Matteo; D’Angelo, Carlo; Quarteroni, Alfio A multiscale Darcy-Brinkman model for fluid flow in fractured porous media. (English) Zbl 1305.76109 Numer. Math. 117, No. 4, 717-752 (2011). MSC: 76S05 76M10 65N30 35B30 35Q35 PDFBibTeX XMLCite \textit{M. Lesinigo} et al., Numer. Math. 117, No. 4, 717--752 (2011; Zbl 1305.76109) Full Text: DOI
Burman, Erik; Quarteroni, Alfio; Stamm, Benjamin Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations. (English) Zbl 1203.65247 J. Sci. Comput. 43, No. 3, 293-312 (2010). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{E. Burman} et al., J. Sci. Comput. 43, No. 3, 293--312 (2010; Zbl 1203.65247) Full Text: DOI
Canuto, Claudio; Gervasio, Paola; Quarteroni, Alfio Finite-element preconditioning of G-NI spectral methods. (English) Zbl 1223.65089 SIAM J. Sci. Comput. 31, No. 6, 4422-4451 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65N30 65N35 65F08 65F10 35J05 65Y20 PDFBibTeX XMLCite \textit{C. Canuto} et al., SIAM J. Sci. Comput. 31, No. 6, 4422--4451 (2010; Zbl 1223.65089) Full Text: DOI Link