Beirão da Veiga, Lourenço; Liu, Yi; Mascotto, Lorenzo; Russo, Alessandro The nonconforming virtual element method with curved edges. (English) Zbl 07818688 J. Sci. Comput. 99, No. 1, Paper No. 23, 35 p. (2024). MSC: 65N30 65N50 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., J. Sci. Comput. 99, No. 1, Paper No. 23, 35 p. (2024; Zbl 07818688) Full Text: DOI arXiv
Meng, Jian; Beirão da Veiga, Lourenço; Mascotto, Lorenzo Stability and interpolation properties for Stokes-like virtual element spaces. (English) Zbl 1516.65137 J. Sci. Comput. 94, No. 3, Paper No. 56, 23 p. (2023). MSC: 65N30 65N50 65D05 65N12 76D07 35Q35 PDFBibTeX XMLCite \textit{J. Meng} et al., J. Sci. Comput. 94, No. 3, Paper No. 56, 23 p. (2023; Zbl 1516.65137) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Vacca, Giuseppe An introduction to second order divergence-free VEM for fluidodynamics. (English) Zbl 1503.65286 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 185-225 (2022). MSC: 65N30 76D05 76D07 76M10 35Q30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{G. Vacca}, SEMA SIMAI Springer Ser. 31, 185--225 (2022; Zbl 1503.65286) Full Text: DOI
Beirão da Veiga, L.; Vacca, G. Sharper error estimates for virtual elements and a bubble-enriched version. (English) Zbl 1498.65195 SIAM J. Numer. Anal. 60, No. 4, 1853-1878 (2022). Reviewer: Sebastian Franz (Dresden) MSC: 65N30 65N50 65N12 65N15 65D05 05B45 35J05 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{G. Vacca}, SIAM J. Numer. Anal. 60, No. 4, 1853--1878 (2022; Zbl 1498.65195) Full Text: DOI arXiv
Beirão da Veiga, L.; Mora, D.; Vacca, G. The Stokes complex for virtual elements with application to Navier-Stokes flows. (English) Zbl 1446.65185 J. Sci. Comput. 81, No. 2, 990-1018 (2019). MSC: 65N35 35Q30 76M10 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., J. Sci. Comput. 81, No. 2, 990--1018 (2019; Zbl 1446.65185) Full Text: DOI arXiv
Da Veiga, Lourenço Beirão; Brezzi, Franco; Marini, L. Donatella; Russo, Alessandro Virtual element approximations of the vector potential formulation of magnetostatic problems. (English) Zbl 1416.78024 SMAI J. Comput. Math. 4, 399-416 (2018). MSC: 78M10 65N30 35Q60 78A30 PDFBibTeX XMLCite \textit{L. B. Da Veiga} et al., SMAI J. Comput. Math. 4, 399--416 (2018; Zbl 1416.78024) Full Text: DOI
Beirão da Veiga, Lourenco; Brezzi, F.; Dassi, Franco; Marini, L. D.; Russo, A. A family of three-dimensional virtual elements with applications to magnetostatics. (English) Zbl 1412.65201 SIAM J. Numer. Anal. 56, No. 5, 2940-2962 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N30 78A30 78M10 35B45 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 56, No. 5, 2940--2962 (2018; Zbl 1412.65201) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Brezzi, Franco; Dassi, Franco; Marini, Luisa Donatelia; Russo, Alessandro Serendipity virtual elements for general elliptic equations in three dimensions. (English) Zbl 1448.65214 Chin. Ann. Math., Ser. B 39, No. 2, 315-334 (2018). MSC: 65N30 35J15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Chin. Ann. Math., Ser. B 39, No. 2, 315--334 (2018; Zbl 1448.65214) Full Text: DOI
Beirão da Veiga, Lourenco; Lopez, Luciano; Vacca, Giuseppe Mimetic finite difference methods for Hamiltonian wave equations in 2D. (English) Zbl 1448.65092 Comput. Math. Appl. 74, No. 5, 1123-1141 (2017). MSC: 65M06 65M12 35L20 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Comput. Math. Appl. 74, No. 5, 1123--1141 (2017; Zbl 1448.65092) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Lovadina, Carlo; Russo, Alessandro Stability analysis for the virtual element method. (English) Zbl 1378.65171 Math. Models Methods Appl. Sci. 27, No. 13, 2557-2594 (2017). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 27, No. 13, 2557--2594 (2017; Zbl 1378.65171) Full Text: DOI arXiv
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. (English) Zbl 1369.65158 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 17-29 (2017). MSC: 65N55 65F08 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Lect. Notes Comput. Sci. Eng. 116, 17--29 (2017; Zbl 1369.65158) Full Text: DOI
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro Serendipity face and edge VEM spaces. (English) Zbl 1395.65139 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 143-180 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N30 35Q60 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 1, 143--180 (2017; Zbl 1395.65139) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro Virtual element implementation for general elliptic equations. (English) Zbl 1357.65253 Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 39-71 (2016). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Lect. Notes Comput. Sci. Eng. 114, 39--71 (2016; Zbl 1357.65253) Full Text: DOI
Beirão da Veiga, Lourenço; Buffa, Annalisa; Sangalli, Giancarlo; Vázquez, Rafael An introduction to the numerical analysis of isogeometric methods. (English) Zbl 1351.65086 Higueras, Inmaculada (ed.) et al., Numerical simulation in physics and engineering. Lecture notes of the XVI ‘Jacques-Louis Lions’ Spanish-French school, Pamplona, Spain, September 2014. Cham: Springer (ISBN 978-3-319-32145-5/hbk; 978-3-319-32146-2/ebook). SEMA SIMAI Springer Series 9, 3-69 (2016). MSC: 65N30 35J25 65N15 35Q61 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SEMA SIMAI Springer Ser. 9, 3--69 (2016; Zbl 1351.65086) Full Text: DOI
Beirão da Veiga, L.; Chernov, A.; Mascotto, L.; Russo, A. Basic principles of \(hp\) virtual elements on quasiuniform meshes. (English) Zbl 1344.65109 Math. Models Methods Appl. Sci. 26, No. 8, 1567-1598 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N30 65N12 65N50 35J05 65N15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 26, No. 8, 1567--1598 (2016; Zbl 1344.65109) Full Text: DOI arXiv
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro Mixed virtual element methods for general second order elliptic problems on polygonal meshes. (English) Zbl 1343.65134 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 727-747 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 727--747 (2016; Zbl 1343.65134) Full Text: DOI arXiv
Beirão da Veiga, L. (ed.); Ern, A. (ed.) Preface. (English) Zbl 1349.00239 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 633-634 (2016). MSC: 00B15 65-06 35-06 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} (ed.) and \textit{A. Ern} (ed.), ESAIM, Math. Model. Numer. Anal. 50, No. 3, 633--634 (2016; Zbl 1349.00239) Full Text: DOI
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. \(H(\mathrm{div})\) and \(H(\mathbf{curl})\)-conforming virtual element methods. (English) Zbl 1343.65133 Numer. Math. 133, No. 2, 303-332 (2016). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Math. 133, No. 2, 303--332 (2016; Zbl 1343.65133) Full Text: DOI arXiv
Beirão da Veiga, L.; Brezzi, F.; Marini, L. D.; Russo, A. Virtual element method for general second-order elliptic problems on polygonal meshes. (English) Zbl 1332.65162 Math. Models Methods Appl. Sci. 26, No. 4, 729-750 (2016). MSC: 65N30 35J15 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 26, No. 4, 729--750 (2016; Zbl 1332.65162) Full Text: DOI arXiv
Vacca, Giuseppe; Beirão da Veiga, Lourenco Virtual element methods for parabolic problems on polygonal meshes. (English) Zbl 1336.65171 Numer. Methods Partial Differ. Equations 31, No. 6, 2110-2134 (2015). Reviewer: Michael Jung (Dresden) MSC: 65M60 65M20 65M12 65M15 35K05 PDFBibTeX XMLCite \textit{G. Vacca} and \textit{L. Beirão da Veiga}, Numer. Methods Partial Differ. Equations 31, No. 6, 2110--2134 (2015; Zbl 1336.65171) Full Text: DOI
Beirão da Veiga, L.; Manzini, G. Residual a posteriori error estimation for the virtual element method for elliptic problems. (English) Zbl 1346.65056 ESAIM, Math. Model. Numer. Anal. 49, No. 2, 577-599 (2015). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N15 65N30 35J05 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{G. Manzini}, ESAIM, Math. Model. Numer. Anal. 49, No. 2, 577--599 (2015; Zbl 1346.65056) Full Text: DOI
Buffa, Annalisa; Hernandez Vázquez, Rafael; Sangalli, Giancarlo; Beirão da Veiga, Lourenço Approximation estimates for isogeometric spaces in multipatch geometries. (English) Zbl 1320.65170 Numer. Methods Partial Differ. Equations 31, No. 2, 422-438 (2015). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 41A15 65D07 35J25 PDFBibTeX XMLCite \textit{A. Buffa} et al., Numer. Methods Partial Differ. Equations 31, No. 2, 422--438 (2015; Zbl 1320.65170) Full Text: DOI
Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario Post processing of solution and flux for the nodal mimetic finite difference method. (English) Zbl 1317.65215 Numer. Methods Partial Differ. Equations 31, No. 1, 336-363 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N06 35J05 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Methods Partial Differ. Equations 31, No. 1, 336--363 (2015; Zbl 1317.65215) Full Text: DOI
Antonietti, P. F.; Beirão da Veiga, L.; Bigoni, N.; Verani, M. Mimetic finite differences for nonlinear and control problems. (English) Zbl 1291.65316 Math. Models Methods Appl. Sci. 24, No. 8, 1457-1493 (2014). MSC: 65N06 65N20 35J62 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Models Methods Appl. Sci. 24, No. 8, 1457--1493 (2014; Zbl 1291.65316) Full Text: DOI
Beirão da Veiga, Lourenco; Manzini, Gianmarco A virtual element method with arbitrary regularity. (English) Zbl 1293.65146 IMA J. Numer. Anal. 34, No. 2, 759-781 (2014). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 65N15 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{G. Manzini}, IMA J. Numer. Anal. 34, No. 2, 759--781 (2014; Zbl 1293.65146) Full Text: DOI
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco The mimetic finite difference method for elliptic problems. (English) Zbl 1286.65141 MS&A. Modeling, Simulation and Applications 11. Cham: Springer (ISBN 978-3-319-02662-6/hbk; 978-3-319-02663-3/ebook). xvi, 392 p. (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N06 65-02 35J25 35Q30 35Q61 76D07 74S20 76M20 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., The mimetic finite difference method for elliptic problems. Cham: Springer (2014; Zbl 1286.65141) Full Text: DOI
Antonietti, Paola F.; Beirão da Veiga, Lourenço; Verani, Marco A mimetic discretization of elliptic obstacle problems. (English) Zbl 1271.65136 Math. Comput. 82, No. 283, 1379-1400 (2013). MSC: 65N30 35J25 35R35 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Math. Comput. 82, No. 283, 1379--1400 (2013; Zbl 1271.65136) Full Text: DOI
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. BDDC preconditioners for isogeometric analysis. (English) Zbl 1280.65138 Math. Models Methods Appl. Sci. 23, No. 6, 1099-1142 (2013). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N55 65F08 65N30 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 23, No. 6, 1099--1142 (2013; Zbl 1280.65138) Full Text: DOI
Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. (English) Zbl 1267.65159 SIAM J. Numer. Anal. 51, No. 1, 654-675 (2013). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N15 65N06 35J25 65N50 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 51, No. 1, 654--675 (2013; Zbl 1267.65159) Full Text: DOI Link
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. Overlapping Schwarz methods for isogeometric analysis. (English) Zbl 1250.65149 SIAM J. Numer. Anal. 50, No. 3, 1394-1416 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N30 65F10 65F08 35J25 65N12 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 50, No. 3, 1394--1416 (2012; Zbl 1250.65149) Full Text: DOI Link
Beirão da Veiga, L.; Verani, M. A posteriori boundary control for FEM approximation of elliptic eigenvalue problems. (English) Zbl 1242.65230 Numer. Methods Partial Differ. Equations 28, No. 2, 369-388 (2012). MSC: 65N25 65N15 65N30 35P15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{M. Verani}, Numer. Methods Partial Differ. Equations 28, No. 2, 369--388 (2012; Zbl 1242.65230) Full Text: DOI
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. (English) Zbl 1242.65215 SIAM J. Numer. Anal. 49, No. 5, 1737-1760 (2011). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N06 65N08 65N12 65N15 65N30 35J05 65N50 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 49, No. 5, 1737--1760 (2011; Zbl 1242.65215) Full Text: DOI Link
Beirão da Veiga, Lourenço; Droniou, Jérôme; Manzini, Gianmarco A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems. (English) Zbl 1263.65102 IMA J. Numer. Anal. 31, No. 4, 1357-1401 (2011). Reviewer: Liviu Marin (Bucharest) MSC: 65N08 35J25 65N06 65N15 65N12 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., IMA J. Numer. Anal. 31, No. 4, 1357--1401 (2011; Zbl 1263.65102) Full Text: DOI HAL
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. (English) Zbl 1352.76022 SIAM J. Numer. Anal. 48, No. 4, 1419-1443 (2010). MSC: 76D07 76M20 65N06 35Q35 65N12 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., SIAM J. Numer. Anal. 48, No. 4, 1419--1443 (2010; Zbl 1352.76022) Full Text: DOI Link
Auricchio, F.; Beirão da Veiga, L.; Hughes, T. J. R.; Reali, A.; Sangalli, G. Isogeometric collocation methods. (English) Zbl 1226.65091 Math. Models Methods Appl. Sci. 20, No. 11, 2075-2107 (2010). Reviewer: Ioana Tascu (Baia Mare) MSC: 65N30 65N35 65D07 65L60 35J25 PDFBibTeX XMLCite \textit{F. Auricchio} et al., Math. Models Methods Appl. Sci. 20, No. 11, 2075--2107 (2010; Zbl 1226.65091) Full Text: DOI
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G. Convergence analysis of the high-order mimetic finite difference method. (English) Zbl 1183.65132 Numer. Math. 113, No. 3, 325-356 (2009). Reviewer: Vit Dolejsi (Praha) MSC: 65N12 65N06 35J25 65N15 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Math. 113, No. 3, 325--356 (2009; Zbl 1183.65132) Full Text: DOI
Beirão da Veiga, Lourenço; Manzini, Gianmarco A higher-order formulation of the mimetic finite difference method. (English) Zbl 1185.65201 SIAM J. Sci. Comput. 31, No. 1, 732-760 (2008). MSC: 65N06 35J25 65N12 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{G. Manzini}, SIAM J. Sci. Comput. 31, No. 1, 732--760 (2008; Zbl 1185.65201) Full Text: DOI
Beirão da Veiga, L. A local error estimator for the mimetic finite difference method. (English) Zbl 1164.65034 Boll. Unione Mat. Ital. (9) 1, No. 2, 319- 332 (2008). Reviewer: R. Militaru (Craiova) MSC: 65N15 65N06 35J25 65N50 65Y20 PDFBibTeX XMLCite \textit{L. Beirão da Veiga}, Boll. Unione Mat. Ital. (9) 1, No. 2, 319- 332 (2008; Zbl 1164.65034)
Beirão da Veiga, L. A residual based error estimator for the mimetic finite difference method. (English) Zbl 1144.65067 Numer. Math. 108, No. 3, 387-406 (2008). Reviewer: Stefan Jakobsson (Göteborg) MSC: 65N15 65N06 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga}, Numer. Math. 108, No. 3, 387--406 (2008; Zbl 1144.65067) Full Text: DOI
Bazilevs, Y.; Beirão da Veiga, L.; Cottrell, J. A.; Hughes, T. J. R.; Sangalli, G. Isogeometric analysis: Approximation, stability and error estimates for \(h\)-refined meshes. (English) Zbl 1103.65113 Math. Models Methods Appl. Sci. 16, No. 7, 1031-1090 (2006). MSC: 65N30 65D07 35J25 65N15 74B05 74S05 76D07 76M10 PDFBibTeX XMLCite \textit{Y. Bazilevs} et al., Math. Models Methods Appl. Sci. 16, No. 7, 1031--1090 (2006; Zbl 1103.65113) Full Text: DOI
Beirão da Veiga, Lorenzo; Lovadina, Carlo Asymptotics of shell eigenvalue problems. (English) Zbl 1099.74040 C. R., Math., Acad. Sci. Paris 342, No. 9, 707-710 (2006). MSC: 74K25 35P15 46N20 49R50 74G10 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} and \textit{C. Lovadina}, C. R., Math., Acad. Sci. Paris 342, No. 9, 707--710 (2006; Zbl 1099.74040) Full Text: DOI