Bukač, Martina; Fu, Guosheng; Seboldt, Anyastassia; Trenchea, Catalin Time-adaptive partitioned method for fluid-structure interaction problems with thick structures. (English) Zbl 07625385 J. Comput. Phys. 473, Article ID 111708, 19 p. (2023). MSC: 65Lxx 74Fxx 74Sxx PDFBibTeX XMLCite \textit{M. Bukač} et al., J. Comput. Phys. 473, Article ID 111708, 19 p. (2023; Zbl 07625385) Full Text: DOI
Mansilla Alvarez, L. A.; Bulant, C. A.; Ares, G. D.; Feijóo, R. A.; Blanco, P. J. A mid-fidelity numerical method for blood flow in deformable vessels. (English) Zbl 1507.76264 Comput. Methods Appl. Mech. Eng. 392, Article ID 114654, 16 p. (2022). MSC: 76Z05 PDFBibTeX XMLCite \textit{L. A. Mansilla Alvarez} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114654, 16 p. (2022; Zbl 1507.76264) Full Text: DOI
Xu, YiQin; Peet, Yulia T. Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction. (English) Zbl 07785550 J. Comput. Phys.: X 10, Article ID 100084, 34 p. (2021). MSC: 76Mxx 74Fxx 76Dxx PDFBibTeX XMLCite \textit{Y. Xu} and \textit{Y. T. Peet}, J. Comput. Phys.: X 10, Article ID 100084, 34 p. (2021; Zbl 07785550) Full Text: DOI
Seboldt, Anyastassia; Bukač, Martina A non-iterative domain decomposition method for the interaction between a fluid and a thick structure. (English) Zbl 07776173 Numer. Methods Partial Differ. Equations 37, No. 4, 2803-2832 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Seboldt} and \textit{M. Bukač}, Numer. Methods Partial Differ. Equations 37, No. 4, 2803--2832 (2021; Zbl 07776173) Full Text: DOI arXiv
Kolahdouz, E. M.; Bhalla, A. P. S.; Scotten, L. N.; Craven, B. A.; Griffith, B. E. A sharp interface Lagrangian-Eulerian method for rigid-body fluid-structure interaction. (English) Zbl 07515403 J. Comput. Phys. 443, Article ID 110442, 33 p. (2021). MSC: 76Mxx 76Dxx 74Fxx PDFBibTeX XMLCite \textit{E. M. Kolahdouz} et al., J. Comput. Phys. 443, Article ID 110442, 33 p. (2021; Zbl 07515403) Full Text: DOI arXiv
Bukač, Martina; Seboldt, Anyastassia; Trenchea, Catalin Refactorization of Cauchy’s method: a second-order partitioned method for fluid-thick structure interaction problems. (English) Zbl 1477.65155 J. Math. Fluid Mech. 23, No. 3, Paper No. 64, 25 p. (2021). MSC: 65M60 65M06 65N30 65M12 74F10 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Bukač} et al., J. Math. Fluid Mech. 23, No. 3, Paper No. 64, 25 p. (2021; Zbl 1477.65155) Full Text: DOI arXiv
Monge, Azahar; Birken, Philipp On the convergence rate of the Dirichlet-Neumann iteration for unsteady thermal fluid-structure interaction. (English) Zbl 1460.74081 Comput. Mech. 62, No. 3, 525-541 (2018). MSC: 74S05 74S10 74F10 74F05 80A19 80M20 65M12 PDFBibTeX XMLCite \textit{A. Monge} and \textit{P. Birken}, Comput. Mech. 62, No. 3, 525--541 (2018; Zbl 1460.74081) Full Text: DOI arXiv
Wang, Yifan; Quaini, Annalisa; Čanić, Sunčica A higher-order discontinuous Galerkin/arbitrary Lagrangian Eulerian partitioned approach to solving fluid-structure interaction problems with incompressible, viscous fluids and elastic structures. (English) Zbl 1404.65183 J. Sci. Comput. 76, No. 1, 481-520 (2018). MSC: 65M60 76M10 65M55 76Z05 92C35 74D10 76D05 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 76, No. 1, 481--520 (2018; Zbl 1404.65183) Full Text: DOI
Kim, Woojin; Lee, Injae; Choi, Haecheon A weak-coupling immersed boundary method for fluid-structure interaction with low density ratio of solid to fluid. (English) Zbl 1383.74086 J. Comput. Phys. 359, 296-311 (2018). MSC: 74S05 74F10 76M10 PDFBibTeX XMLCite \textit{W. Kim} et al., J. Comput. Phys. 359, 296--311 (2018; Zbl 1383.74086) Full Text: DOI
He, Tao; Zhang, Kai An overview of the combined interface boundary condition method for fluid-structure interaction. (English) Zbl 1391.74073 Arch. Comput. Methods Eng. 24, No. 4, 891-934 (2017). MSC: 74F10 74S15 74-02 76D10 76D05 PDFBibTeX XMLCite \textit{T. He} and \textit{K. Zhang}, Arch. Comput. Methods Eng. 24, No. 4, 891--934 (2017; Zbl 1391.74073) Full Text: DOI
Bukač, Martina; Čanić, Sunčica; Muha, Boris A nonlinear fluid-structure interaction problem in compliant arteries treated with vascular stents. (English) Zbl 1383.35154 Appl. Math. Optim. 73, No. 3, 433-473 (2016). MSC: 35Q35 35Q92 74F10 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Bukač} et al., Appl. Math. Optim. 73, No. 3, 433--473 (2016; Zbl 1383.35154) Full Text: DOI
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O. Analysis of a coupled fluid-structure model with applications to hemodynamics. (English) Zbl 1343.35184 SIAM J. Numer. Anal. 54, No. 2, 994-1019 (2016). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 74K25 65M60 65N12 76D05 65M06 76Z05 92C35 35Q92 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., SIAM J. Numer. Anal. 54, No. 2, 994--1019 (2016; Zbl 1343.35184) Full Text: DOI Link
Bukač, M.; Čanić, S.; Muha, B. A partitioned scheme for fluid-composite structure interaction problems. (English) Zbl 1351.76321 J. Comput. Phys. 281, 493-517 (2015). MSC: 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Bukač} et al., J. Comput. Phys. 281, 493--517 (2015; Zbl 1351.76321) Full Text: DOI arXiv
Bukač, Martina; Yotov, Ivan; Zunino, Paolo An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure. (English) Zbl 1329.74270 Numer. Methods Partial Differ. Equations 31, No. 4, 1054-1100 (2015). MSC: 74S05 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{M. Bukač} et al., Numer. Methods Partial Differ. Equations 31, No. 4, 1054--1100 (2015; Zbl 1329.74270) Full Text: DOI
Gostaf, Kirill P.; Pironneau, Olivier Pressure boundary conditions for blood flows. (English) Zbl 1322.76078 Chin. Ann. Math., Ser. B 36, No. 5, 829-842 (2015). MSC: 76Z05 35Q92 76M10 74S05 74F10 35Q30 74K25 65M60 65N12 PDFBibTeX XMLCite \textit{K. P. Gostaf} and \textit{O. Pironneau}, Chin. Ann. Math., Ser. B 36, No. 5, 829--842 (2015; Zbl 1322.76078) Full Text: DOI HAL
Andre, Michael; Bletzinger, Kai-Uwe; Wüchner, Roland A complementary study of analytical and computational fluid-structure interaction. (English) Zbl 1398.74079 Comput. Mech. 55, No. 2, 345-357 (2015). MSC: 74F10 74S05 76M10 76D05 92C10 PDFBibTeX XMLCite \textit{M. Andre} et al., Comput. Mech. 55, No. 2, 345--357 (2015; Zbl 1398.74079) Full Text: DOI
Tang, Aik Ying; Amin, Norsarahaida Some numerical approaches to solve fluid structure interaction problems in blood flow. (English) Zbl 1474.74044 Abstr. Appl. Anal. 2014, Article ID 549189, 8 p. (2014). MSC: 74F10 92C35 76Z05 76M99 PDFBibTeX XMLCite \textit{A. Y. Tang} and \textit{N. Amin}, Abstr. Appl. Anal. 2014, Article ID 549189, 8 p. (2014; Zbl 1474.74044) Full Text: DOI
Nobile, Fabio; Pozzoli, Matteo; Vergara, Christian Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics. (English) Zbl 1351.76324 J. Comput. Phys. 273, 598-617 (2014). MSC: 76Z05 74F10 92C35 92-08 PDFBibTeX XMLCite \textit{F. Nobile} et al., J. Comput. Phys. 273, 598--617 (2014; Zbl 1351.76324) Full Text: DOI
Čanić, Sunčica; Muha, Boris; Bukač, Martina Fluid-structure interaction in hemodynamics: modeling, analysis, and numerical simulation. (English) Zbl 1371.74086 Bodnár, Tomáš (ed.) et al., Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0821-7/hbk; 978-3-0348-0822-4/ebook). Advances in Mathematical Fluid Mechanics, 79-195 (2014). MSC: 74F10 76Z05 74S05 76M10 92C10 PDFBibTeX XMLCite \textit{S. Čanić} et al., in: Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer. 79--195 (2014; Zbl 1371.74086) Full Text: DOI
Grandmont, Céline; Lukáčová-Medvid’ová, Mária; Nečasová, Šárka Mathematical and numerical analysis of some FSI problems. (English) Zbl 1365.74066 Bodnár, Tomáš (ed.) et al., Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0821-7/hbk; 978-3-0348-0822-4/ebook). Advances in Mathematical Fluid Mechanics, 1-77 (2014). MSC: 74F10 76D05 74S05 76M10 35Q74 35Q35 PDFBibTeX XMLCite \textit{C. Grandmont} et al., in: Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer. 1--77 (2014; Zbl 1365.74066) Full Text: DOI
Colciago, C. M.; Deparis, S.; Quarteroni, A. Comparisons between reduced order models and full 3D models for fluid-structure interaction problems in haemodynamics. (English) Zbl 1293.92008 J. Comput. Appl. Math. 265, 120-138 (2014). MSC: 92C35 74F10 PDFBibTeX XMLCite \textit{C. M. Colciago} et al., J. Comput. Appl. Math. 265, 120--138 (2014; Zbl 1293.92008) Full Text: DOI
Degroote, Joris Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques. (English) Zbl 1354.74066 Arch. Comput. Methods Eng. 20, No. 3, 185-238 (2013). MSC: 74F10 76D05 65M25 74S30 PDFBibTeX XMLCite \textit{J. Degroote}, Arch. Comput. Methods Eng. 20, No. 3, 185--238 (2013; Zbl 1354.74066) Full Text: DOI
Yu, Yue; Baek, Hyoungsu; Karniadakis, George Em Generalized fictitious methods for fluid-structure interactions: analysis and simulations. (English) Zbl 1349.76577 J. Comput. Phys. 245, 317-346 (2013). MSC: 76M22 65M70 74F10 76Z05 92C50 PDFBibTeX XMLCite \textit{Y. Yu} et al., J. Comput. Phys. 245, 317--346 (2013; Zbl 1349.76577) Full Text: DOI
Sanches, Rodolfo A. K.; Coda, Humberto B. Unconstrained vector nonlinear dynamic shell formulation applied to fluid structure interaction. (English) Zbl 1286.74064 Comput. Methods Appl. Mech. Eng. 259, 177-196 (2013). MSC: 74K25 74F10 74S05 76M10 PDFBibTeX XMLCite \textit{R. A. K. Sanches} and \textit{H. B. Coda}, Comput. Methods Appl. Mech. Eng. 259, 177--196 (2013; Zbl 1286.74064) Full Text: DOI
Pena, Gonçalo; Prud’homme, Christophe; Quarteroni, Alfio High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain. (English) Zbl 1243.76020 Comput. Methods Appl. Mech. Eng. 209-212, 197-211 (2012). MSC: 76D05 76M22 65M70 PDFBibTeX XMLCite \textit{G. Pena} et al., Comput. Methods Appl. Mech. Eng. 209--212, 197--211 (2012; Zbl 1243.76020) Full Text: DOI
Baek, Hyoungsu; Karniadakis, George Em A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping. (English) Zbl 1426.76496 J. Comput. Phys. 231, No. 2, 629-652 (2012). MSC: 76M22 76Z05 76D05 74F10 92C10 PDFBibTeX XMLCite \textit{H. Baek} and \textit{G. E. Karniadakis}, J. Comput. Phys. 231, No. 2, 629--652 (2012; Zbl 1426.76496) Full Text: DOI
Fernández, Miguel Ángel Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit. (English) Zbl 1242.76201 S\(\vec{\text{e}}\)MA J. 55, 59-108 (2011). MSC: 76M20 76M25 76D05 65M06 65M60 74F10 74S30 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Á. Fernández}, S\(\vec{\text{e}}\)MA J. 55, 59--108 (2011; Zbl 1242.76201) Full Text: DOI
Boffi, Daniele; Cavallini, Nicola; Gastaldi, Lucia Finite element approach to immersed boundary method with different fluid and solid densities. (English) Zbl 1242.76190 Math. Models Methods Appl. Sci. 21, No. 12, 2523-2550 (2011). MSC: 76M15 76M10 65M60 65M12 74F10 PDFBibTeX XMLCite \textit{D. Boffi} et al., Math. Models Methods Appl. Sci. 21, No. 12, 2523--2550 (2011; Zbl 1242.76190) Full Text: DOI
Nordsletten, D.; Kay, D.; Smith, N. A non-conforming monolithic finite element method for problems of coupled mechanics. (English) Zbl 1425.74162 J. Comput. Phys. 229, No. 20, 7571-7593 (2010). MSC: 74F10 74S05 65N55 74B20 35Q30 PDFBibTeX XMLCite \textit{D. Nordsletten} et al., J. Comput. Phys. 229, No. 20, 7571--7593 (2010; Zbl 1425.74162) Full Text: DOI
Burman, Erik; Fernández, Miguel A. Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility. (English) Zbl 1229.76045 Comput. Methods Appl. Mech. Eng. 198, No. 5-8, 766-784 (2009). MSC: 76M10 76D05 74F10 65M12 PDFBibTeX XMLCite \textit{E. Burman} and \textit{M. A. Fernández}, Comput. Methods Appl. Mech. Eng. 198, No. 5--8, 766--784 (2009; Zbl 1229.76045) Full Text: DOI
Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. (English) Zbl 1261.76056 J. Comput. Phys. 228, No. 18, 6916-6937 (2009). MSC: 76Z05 92C35 65M60 74F05 74L15 74S05 PDFBibTeX XMLCite \textit{G. Guidoboni} et al., J. Comput. Phys. 228, No. 18, 6916--6937 (2009; Zbl 1261.76056) Full Text: DOI
Murea, C. M.; Sy, S. A fast method for solving fluid-structure interaction problems numerically. (English) Zbl 1419.74114 Int. J. Numer. Methods Fluids 60, No. 10, 1149-1172 (2009). MSC: 74F10 76M25 PDFBibTeX XMLCite \textit{C. M. Murea} and \textit{S. Sy}, Int. J. Numer. Methods Fluids 60, No. 10, 1149--1172 (2009; Zbl 1419.74114) Full Text: DOI
Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica; Lapin, Sergey A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. (English) Zbl 1162.74012 Appl. Math. Lett. 22, No. 5, 684-688 (2009). MSC: 74F10 74L15 74S05 76Z05 92C10 PDFBibTeX XMLCite \textit{G. Guidoboni} et al., Appl. Math. Lett. 22, No. 5, 684--688 (2009; Zbl 1162.74012) Full Text: DOI
Mbaye, I.; Murea, C. M. Numerical procedure with analytic derivative for unsteady fluid-structure interaction. (English) Zbl 1153.74047 Commun. Numer. Methods Eng. 24, No. 11, 1257-1275 (2008). MSC: 74S05 74F10 74K20 76D05 PDFBibTeX XMLCite \textit{I. Mbaye} and \textit{C. M. Murea}, Commun. Numer. Methods Eng. 24, No. 11, 1257--1275 (2008; Zbl 1153.74047) Full Text: DOI
Formaggia, L.; Quarteroni, A.; Veneziani, A. The circulatory system: from case studies to mathematical modeling. (English) Zbl 1387.92029 Quarteroni, Alfio (ed.) et al., Complex systems in biomedicine. Milano: Springer (ISBN 978-88-470-0394-1/hbk). 243-287 (2006). MSC: 92C35 76Z05 PDFBibTeX XMLCite \textit{L. Formaggia} et al., in: Complex systems in biomedicine. Milano: Springer. 243--287 (2006; Zbl 1387.92029) Full Text: DOI
Deparis, Simone; Discacciati, Marco; Fourestey, Gilles; Quarteroni, Alfio Fluid-structure algorithms based on Steklov-Poincaré operators. (English) Zbl 1124.76026 Comput. Methods Appl. Mech. Eng. 195, No. 41-43, 5797-5812 (2006). MSC: 76M10 74F10 PDFBibTeX XMLCite \textit{S. Deparis} et al., Comput. Methods Appl. Mech. Eng. 195, No. 41--43, 5797--5812 (2006; Zbl 1124.76026) Full Text: DOI
Figueroa, C. Alberto; Vignon-Clementel, Irene E.; Jansen, Kenneth E.; Hughes, Thomas J. R.; Taylor, Charles A. A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. (English) Zbl 1126.76029 Comput. Methods Appl. Mech. Eng. 195, No. 41-43, 5685-5706 (2006). MSC: 76M10 76Z05 92C10 74F10 PDFBibTeX XMLCite \textit{C. A. Figueroa} et al., Comput. Methods Appl. Mech. Eng. 195, No. 41--43, 5685--5706 (2006; Zbl 1126.76029) Full Text: DOI
Murea, Cornel Marius Numerical simulation of a pulsatile flow through a flexible channel. (English) Zbl 1160.74020 ESAIM, Math. Model. Numer. Anal. 40, No. 6, 1101-1125 (2006). MSC: 74F10 65M60 76M10 74S30 76D05 PDFBibTeX XMLCite \textit{C. M. Murea}, ESAIM, Math. Model. Numer. Anal. 40, No. 6, 1101--1125 (2006; Zbl 1160.74020) Full Text: DOI Numdam EuDML
Murea, C. M. The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries. (English) Zbl 1067.92032 Comput. Math. Appl. 49, No. 2-3, 171-186 (2005). MSC: 92C35 76M25 92C50 PDFBibTeX XMLCite \textit{C. M. Murea}, Comput. Math. Appl. 49, No. 2--3, 171--186 (2005; Zbl 1067.92032) Full Text: DOI
Gerbeau, Jean-Frédéric; Vidrascu, Marina A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. (English) Zbl 1070.74047 M2AN, Math. Model. Numer. Anal. 37, No. 4, 631-647 (2003). MSC: 74S05 74L15 74F10 76Z05 92C10 92-08 PDFBibTeX XMLCite \textit{J.-F. Gerbeau} and \textit{M. Vidrascu}, M2AN, Math. Model. Numer. Anal. 37, No. 4, 631--647 (2003; Zbl 1070.74047) Full Text: DOI Numdam EuDML