Chen, Jianhua; Jiang, Yingying; Zhang, Guo-Dong Decoupled and unconditionally stable iteration method for stationary Navier-Stokes equations. (English) Zbl 07964961 Int. J. Numer. Methods Fluids 96, No. 10, 1680-1693 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
de Castro, Amy; Lee, Hyesuk; Wiecek, Margaret M. Reduced order modeling for a Schur complement method for fluid-structure interaction. (English) Zbl 07922777 J. Comput. Phys. 515, Article ID 113282, 20 p. (2024). MSC: 65N30 76M10 74F10 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Qianqian; Mao, Shipeng; Wang, Xiaorong Error analysis of a fully discrete projection method for Cahn-Hilliard inductionless MHD problems. (English) Zbl 07899914 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108195, 22 p. (2024). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Eymard, Robert; Maltese, David Convergence of the incremental projection method using conforming approximations. (English) Zbl 1543.65150 Comput. Methods Appl. Math. 24, No. 3, 623-647 (2024). MSC: 65M60 35Q30 65M12 76M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jiang, Nan; Li, Ying An efficient scalar auxiliary variable partitioned projection ensemble method for simulating surface-groundwater flows. (English) Zbl 07875902 Math. Comput. Simul. 221, 39-54 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Masri, Rami; Liu, Chen; Riviere, Beatrice Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations. (English) Zbl 1535.65203 Numer. Methods Partial Differ. Equations 39, No. 4, 3108-3144 (2023). MSC: 65M60 65M22 65N30 65M15 65M12 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Qianqian; He, Xiaoming; Long, Xiaonian; Mao, Shipeng Error analysis of a fully discrete projection method for magnetohydrodynamic system. (English) Zbl 07776970 Numer. Methods Partial Differ. Equations 39, No. 2, 1449-1477 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Tabata, Masahisa; Uchiumi, Shinya Behavior of Lagrange-Galerkin solutions to the Navier-Stokes problem for small time increment. (English) Zbl 07769118 Numer. Methods Partial Differ. Equations 39, No. 6, 4295-4316 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Long, Xiaonian; Ding, Qianqian Convergence analysis of the fully discrete projection method for inductionless magnetohydrodynamics system based on charge conservation. (English) Zbl 1519.76153 J. Sci. Comput. 96, No. 1, Paper No. 2, 24 p. (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 76M10 76W05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin; Miao, Zhen Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization. (English) Zbl 1538.76049 Comput. Math. Appl. 141, 145-158 (2023). MSC: 76D05 76M10 35Q30 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. (English) Zbl 1505.76059 J. Sci. Comput. 94, No. 1, Paper No. 4, 41 p. (2023). MSC: 76M10 76M20 76D05 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xi; Luo, Yan; Feng, Minfu An efficient Chorin-Temam projection proper orthogonal decomposition based reduced-order model for nonstationary Stokes equations. (English) Zbl 1503.65239 J. Sci. Comput. 93, No. 3, Paper No. 64, 26 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaodi; Ding, Qianqian A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations. (English) Zbl 1524.76533 Comput. Math. Appl. 127, 80-96 (2022). MSC: 76W05 76M10 65N30 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Matsui, Kazunori A projection method for Navier-Stokes equations with a boundary condition including the total pressure. (English) Zbl 1530.65123 Numer. Math. 152, No. 3, 663-699 (2022). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 65M60 65M06 65N30 65M12 65M15 76D03 76D05 76M10 76M20 35D30 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Qianqian; Mao, Shipeng; Sun, Jiaao Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. (English) Zbl 1498.76052 Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022). MSC: 76M10 76W05 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Masri, Rami; Liu, Chen; Riviere, Beatrice A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence. (English) Zbl 1491.65099 Math. Comput. 91, No. 336, 1625-1654 (2022). MSC: 65M60 65M22 65N30 65M12 65M15 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deteix, J.; Ndetchoua Kouamo, G. L.; Yakoubi, D. A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model. (English) Zbl 1507.76061 Comput. Methods Appl. Mech. Eng. 393, Article ID 114759, 25 p. (2022). MSC: 76E17 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yaoyao; Huang, Yunqing; Yi, Nianyu Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 1510.76085 Appl. Math. Comput. 421, Article ID 126928, 17 p. (2022). MSC: 76M10 65N15 35M30 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Nasar, A. M. A.; Fourtakas, G.; Lind, S. J.; Rogers, B. D.; Stansby, P. K.; King, J. R. C. High-order velocity and pressure wall boundary conditions in Eulerian incompressible SPH. (English) Zbl 07508512 J. Comput. Phys. 434, Article ID 109793, 23 p. (2021). MSC: 76Mxx 65Mxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yaoyao; Huang, Yunqing; Yi, Nianyu A decoupled energy stable adaptive finite element method for Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 1474.65436 Commun. Comput. Phys. 29, No. 4, 1186-1212 (2021). MSC: 65N30 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Kadapa, Chennakesava A novel semi-implicit scheme for elastodynamics and wave propagation in nearly and truly incompressible solids. (English) Zbl 1489.74057 Acta Mech. 232, No. 6, 2135-2163 (2021). MSC: 74S05 74J10 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Caforio, F.; Imperiale, S. Mathematical analysis of a penalisation strategy for incompressible elastodynamics. (English) Zbl 1473.35546 Asymptotic Anal. 122, No. 3-4, 225-255 (2021). MSC: 35Q74 74J05 35B40 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Tsiolakis, Vasileios; Giacomini, Matteo; Sevilla, Ruben; Othmer, Carsten; Huerta, Antonio Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM. (English) Zbl 07678493 Comput. Phys. Commun. 249, Article ID 107013, 15 p. (2020). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuroki, Hidesato; Soga, Kohei On convergence of Chorin’s projection method to a Leray-Hopf weak solution. (English) Zbl 1451.35111 Numer. Math. 146, No. 2, 401-433 (2020). MSC: 35Q30 76D05 35D30 65M06 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Jilian; Wei, Leilei; Feng, Xinlong Novel fractional time-stepping algorithms for natural convection problems with variable density. (English) Zbl 1448.76145 Appl. Numer. Math. 151, 64-84 (2020). MSC: 76R10 76M10 76D05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, XiaoMing; Yang, XiaoFeng A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations. (English) Zbl 1432.76172 J. Sci. Comput. 81, No. 3, 1678-1711 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 76M10 76M20 65M60 35Q30 65M12 76W05 65M15 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization. (English) Zbl 1477.65158 J. Sci. Comput. 80, No. 2, 1330-1368 (2019); corrigenda ibid. 88, No. 2, Paper No. 40, 3 p. (2021). MSC: 65M60 35Q30 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jiang, Nan A pressure-correction ensemble scheme for computing evolutionary Boussinesq equations. (English) Zbl 1466.65137 J. Sci. Comput. 80, No. 1, 315-350 (2019). MSC: 65M60 65M12 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Viguerie, Alex; Veneziani, Alessandro Algebraic splitting methods for the steady incompressible Navier-Stokes equations at moderate Reynolds numbers. (English) Zbl 1439.76101 Comput. Methods Appl. Mech. Eng. 330, 271-291 (2018). MSC: 76M10 65M22 35Q30 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem. (English) Zbl 1426.76245 Appl. Math. Comput. 322, 154-173 (2018). MSC: 76M10 65M60 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dunca, Argus A. Numerical analysis and testing of a stable and convergent finite element scheme for approximate deconvolution turbulence models. (English) Zbl 1409.76059 Comput. Math. Appl. 75, No. 2, 690-702 (2018). MSC: 76M10 65M60 65M12 76F65 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yunxia; Li, Shishun; Si, Zhiyong A second order in time incremental pressure correction finite element method for the Navier-Stokes/Darcy problem. (English) Zbl 1405.76011 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1477-1500 (2018). MSC: 76D05 35Q30 65M60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Daozhi; Wang, Xiaoming A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system. (English) Zbl 1407.65158 J. Sci. Comput. 77, No. 2, 1210-1233 (2018). MSC: 65M60 65M12 76T99 76S05 65L06 35Q35 76D27 × Cite Format Result Cite Review PDF Full Text: DOI
Stabile, Giovanni; Rozza, Gianluigi Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. (English) Zbl 1410.76264 Comput. Fluids 173, 273-284 (2018). MSC: 76M12 65M08 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chalayer, Rénald; Chupin, Laurent; Dubois, Thierry A bi-projection method for incompressible Bingham flows with variable density, viscosity, and yield stress. (English) Zbl 1442.76039 SIAM J. Numer. Anal. 56, No. 4, 2461-2483 (2018). MSC: 76D05 76A05 65M12 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Yang, Yun-Bo; Jiang, Yao-Lin Analysis of two decoupled time-stepping finite-element methods for incompressible fluids with microstructure. (English) Zbl 1387.65108 Int. J. Comput. Math. 95, No. 4, 686-709 (2018). MSC: 65M60 65M12 65M15 76M10 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Yongyong; Shen, Jie Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows. (English) Zbl 1390.35225 Math. Comput. 87, No. 313, 2057-2090 (2018). MSC: 35Q30 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Error analysis of projection methods for non inf-sup stable mixed finite elements: the Navier-Stokes equations. (English) Zbl 1404.65131 J. Sci. Comput. 74, No. 1, 426-455 (2018). MSC: 65M15 65M60 35Q30 76D05 76D07 76M10 76M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Quarteroni, A.; Manzoni, A.; Vergara, C. The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. (English) Zbl 1376.92016 Acta Numerica 26, 365-590 (2017). MSC: 92C30 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Guillén-González, F.; Redondo-Neble, M. V. Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations. (English) Zbl 1364.35239 J. Comput. Appl. Math. 321, 348-370 (2017). MSC: 35Q30 65N15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Daozhi; Brylev, Alex; Yang, Xiaofeng; Tan, Zhijun Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows. (English) Zbl 1397.76070 J. Sci. Comput. 70, No. 3, 965-989 (2017). MSC: 76M10 65M60 76T99 × Cite Format Result Cite Review PDF Full Text: DOI
Tzirakis, K.; Botti, L.; Vavourakis, V.; Papaharilaou, Y. Numerical modeling of non-Newtonian biomagnetic fluid flow. (English) Zbl 1390.76026 Comput. Fluids 126, 170-180 (2016). MSC: 76A05 76Z05 92C35 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Christon, Mark A.; Bakosi, Jozsef; Nadiga, Balasubramanya T.; Berndt, Markus; Francois, Marianne M.; Stagg, Alan K.; Xia, Yidong; Luo, Hong A hybrid incremental projection method for thermal-hydraulics applications. (English) Zbl 1349.76190 J. Comput. Phys. 317, 382-404 (2016). MSC: 76M10 65M60 76D05 76M12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Choi, Heejun; Shen, Jie Efficient splitting schemes for magneto-hydrodynamic equations. (English) Zbl 1388.76224 Sci. China, Math. 59, No. 8, 1495-1510 (2016). MSC: 76M22 65M12 65M70 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Daozhi; Wang, Xiaoming A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation. (English) Zbl 1349.76213 J. Comput. Phys. 290, 139-156 (2015). MSC: 76M10 65M60 76D05 82C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si, Zhiyong; Wang, Yunxia Modified characteristics projection finite element method for time-dependent conduction-convection problems. (English) Zbl 1338.76067 Bound. Value Probl. 2015, Paper No. 151, 23 p. (2015). MSC: 76M10 65N12 65N30 35K61 × Cite Format Result Cite Review PDF Full Text: DOI
Salgado, Abner J. Convergence analysis of fractional time-stepping techniques for incompressible fluids with microstructure. (English) Zbl 1327.35302 J. Sci. Comput. 64, No. 1, 216-233 (2015). MSC: 35Q30 65N12 65N15 65N30 76A05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonito, Andrea; Guermond, Jean-Luc; Lee, Sanghyun Modified pressure-correction projection methods: open boundary and variable time stepping. (English) Zbl 1321.76037 Abdulle, Assyr (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2013. Proceedings of ENUMATH 2013, the 10th European conference on numerical mathematics and advanced applications, Lausanne, Switzerland, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-10704-2/hbk; 978-3-319-10705-9/ebook). Lecture Notes in Computational Science and Engineering 103, 623-631 (2015). MSC: 76M10 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Tong; Pedro, Damazio; Yuan, Jinyun A large time stepping viscosity-splitting finite element method for the viscoelastic flow problem. (English) Zbl 1308.65204 Adv. Comput. Math. 41, No. 1, 149-190 (2015). MSC: 65N30 65N15 76D07 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Minjeaud, Sebastian An adaptive pressure correction method without spurious velocities for diffuse-interface models of incompressible flows. (English) Zbl 1286.76114 J. Comput. Phys. 236, 143-156 (2013). MSC: 76M25 76D05 65M50 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Shuai, Chunjiang; Teng, Kaimin; Jia, Hongen On the error estimates of a new operator splitting scheme for the Navier-Stokes equations with Coriolis force. (English) Zbl 1264.76064 Math. Probl. Eng. 2012, Article ID 105735, 23 p. (2012). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Xinlong; He, Yinnian; Liu, Demin Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations. (English) Zbl 1228.76040 Appl. Math. Modelling 35, No. 12, 5856-5871 (2011). MSC: 76D05 65M60 65M12 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Botti, Lorenzo; Di Pietro, Daniele A. A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure. (English) Zbl 1283.76030 J. Comput. Phys. 230, No. 3, 572-585 (2011). MSC: 76M10 65M60 76D07 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Xin, S.; Chergui, J.; Le Quéré, P. 3D spectral parallel multi-domain computing for natural convection flows. (English) Zbl 1398.76165 Tromeur-Dervout, Damien (ed.) et al., Parallel computational fluid dynamics 2008. Parallel numerical methods, software development and applications. Proceedings of the 20th international conference, Lyon, France, May 19–22, 2008. Berlin: Springer (ISBN 978-3-642-14437-0/hbk; 978-3-642-26515-0/pbk978-3-642-14438-7/ebook). Lecture Notes in Computational Science and Engineering 74, 163-171 (2010). MSC: 76M22 76R10 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Astorino, M.; Grandmont, C. Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems. (English) Zbl 1426.74124 Numer. Math. 116, No. 4, 721-767 (2010). MSC: 74F10 76D07 76M10 65N15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ibrahim, John; Paolucci, Samuel The modeling of realistic chemical vapor infiltration/deposition reactors. (English) Zbl 1377.76038 Int. J. Numer. Methods Fluids 64, No. 5, 473-516 (2010). MSC: 76V05 76M25 76S05 80A32 92E10 × Cite Format Result Cite Review PDF Full Text: DOI
Angot, Philippe; Jobelin, Matthieu; Latché, Jean-Claude Error analysis of the penalty-projection method for the time dependent Stokes equations. (English) Zbl 1490.76136 Int. J. Finite Vol. 6, No. 1, Article ID hal-00482143, 26 p. (2009). MSC: 76M12 35Q30 65N12 65N15 76D05 × Cite Format Result Cite Review PDF Full Text: HAL
Auteri, F.; Quartapelle, L. Navier-Stokes spectral solver in a sphere. (English) Zbl 1172.76037 J. Comput. Phys. 228, No. 19, 7197-7214 (2009). MSC: 76M22 76D05 76U05 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Changfeng; Wang, Desheng; Wang, Yu The finite element analysis of a fractional-step method for the time-dependent linear elasticity equations. (English) Zbl 1167.74587 Nonlinear Anal., Real World Appl. 10, No. 2, 1210-1219 (2009). MSC: 74S05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J.-L.; Salgado, Abner A splitting method for incompressible flows with variable density based on a pressure Poisson equation. (English) Zbl 1159.76028 J. Comput. Phys. 228, No. 8, 2834-2846 (2009). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Févrière, C.; Laminie, J.; Poullet, P.; Angot, Ph. On the penalty-projection method for the Navier-Stokes equations with the MAC mesh. (English) Zbl 1409.76023 J. Comput. Appl. Math. 226, No. 2, 228-245 (2009). MSC: 76D05 65M06 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J. L.; Shen, Jie; Yang, Xiaofeng Error analysis of fully discrete velocity-correction methods for incompressible flows. (English) Zbl 1285.76029 Math. Comput. 77, No. 263, 1387-1405 (2008). MSC: 76M25 76D05 35Q30 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Badia, S.; Codina, R. Algebraic pressure segregation methods for the incompressible Navier-Stokes equations. (English) Zbl 1144.76027 Arch. Comput. Methods Eng. 15, No. 3, 343-369 (2008). MSC: 76M10 76M20 76M25 76D05 76-02 × Cite Format Result Cite Review PDF Full Text: DOI Link
Utnes, T. A segregated implicit pressure projection method for incompressible flows. (English) Zbl 1132.76034 J. Comput. Phys. 227, No. 4, 2198-2211 (2008). MSC: 76M10 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Badia, Santiago; Codina, Ramon Convergence analysis of the FEM approximation of the first-order projection method for incompressible flows with and without the inf-sup condition. (English) Zbl 1132.76029 Numer. Math. 107, No. 4, 533-557 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Guillén-González, Francisco; Redondo-Neble, María Victoria Sharp error estimates for a fractional-step method applied to the 3D Navier-Stokes equations. (English) Zbl 1142.76037 C. R., Math., Acad. Sci. Paris 345, No. 6, 359-362 (2007). MSC: 76M20 76M10 76D05 65M15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bochev, Pavel B.; Dohrmann, Clark R. A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations. (English) Zbl 1177.76191 Comput. Mech. 38, No. 4-5, 323-333 (2006). MSC: 76M10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J. L.; Minev, P.; Shen, Jie An overview of projection methods for incompressible flows. (English) Zbl 1122.76072 Comput. Methods Appl. Mech. Eng. 195, No. 44-47, 6011-6045 (2006). MSC: 76M99 76D05 76-02 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J.-L.; Marra, A.; Quartapelle, L. Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. (English) Zbl 1121.76036 Comput. Methods Appl. Mech. Eng. 195, No. 44-47, 5857-5876 (2006). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Jobelin, M.; Lapuerta, C.; Latché, J.-C.; Angot, Ph.; Piar, B. A finite element penalty-projection method for incompressible flows. (English) Zbl 1160.76366 J. Comput. Phys. 217, No. 2, 502-518 (2006). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gervasio, Paola; Saleri, Fausto; Veneziani, Alessandro Algebraic fractional-step schemes with spectral methods for the incompressible Navier–Stokes equations. (English) Zbl 1137.76338 J. Comput. Phys. 214, No. 1, 347-365 (2006). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. (English) Zbl 1085.76037 ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1115-1147 (2005). MSC: 76M10 76D05 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Tabata, Masahisa; Tagami, Daisuke Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients. (English) Zbl 1082.65090 Numer. Math. 100, No. 2, 351-372 (2005). Reviewer: Karel Najzar (Praha) MSC: 65M15 65M60 35K15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zheng, Xiaoming; Lowengrub, John; Anderson, Anthony; Cristini, Vittorio Adaptive unstructured volume remeshing. II: Application to two- and three-dimensional level-set simulations of multiphase flow. (English) Zbl 1075.65120 J. Comput. Phys. 208, No. 2, 626-650 (2005). MSC: 65M50 65M60 76T30 65M70 76M15 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Kharrat, Nizar; Mghazli, Zoubida Residual error estimators for the time-dependent Stokes equations. (English) Zbl 1067.65094 C. R., Math., Acad. Sci. Paris 340, No. 5, 405-408 (2005). MSC: 65M15 65M60 35Q30 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Xin, Shihe; Duluc, Marie-Christine; Lusseyran, François; Le Quéré, Patrick Numerical simulations of natural convection around a line-source. (English) Zbl 1074.76619 Int. J. Numer. Methods Heat Fluid Flow 14, No. 7, 830-850 (2004). MSC: 76R10 76M22 76M20 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Changfeng A finite-element approximation of a quasi-magnetostatic 3D eddy current model by fractional-step A-\(\psi\) scheme. (English) Zbl 1112.78021 Math. Comput. Modelling 39, No. 4-5, 567-580 (2004). Reviewer: H. P. Dikshit (New Delhi) MSC: 78M10 78A30 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Ghahreman, N.; Kerayechian, A. Preconditioners for the pressure-correction method applied to the unsteady Stokes problem. (English) Zbl 1129.65320 J. Appl. Math. Comput. 16, No. 1-2, 307-321 (2004). MSC: 65M55 76D07 76M25 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Blasco, J.; Codina, R. Error estimates for an operator-splitting method for incompressible flows. (English) Zbl 1126.76339 Appl. Numer. Math. 51, No. 1, 1-17 (2004). MSC: 76M10 65M06 35Q30 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rabier, Sylvain; Medale, Marc Computation of free surface flows with a projection FEM in a moving mesh framework. (English) Zbl 1054.76052 Comput. Methods Appl. Mech. Eng. 192, No. 41-42, 4703-4721 (2003). MSC: 76M10 76D33 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J. L.; Shen, Jie A new class of truly consistent splitting schemes for incompressible flows. (English) Zbl 1032.76529 J. Comput. Phys. 192, No. 1, 262-276 (2003). MSC: 76D05 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, Jean-Luc; Minev, Peter D. Analysis of a projection/characteristic scheme for incompressible flow. (English) Zbl 1112.76389 Commun. Numer. Methods Eng. 19, No. 7, 535-550 (2003). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Parolini, N. A mixed-basis spectral projection method. (English) Zbl 1039.76049 J. Comput. Phys. 175, No. 1, 1-23 (2002). MSC: 76M22 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Guermond, J.-L.; Parolini, N. Role of the LBB condition in weak spectral projection methods. (English) Zbl 1007.76056 J. Comput. Phys. 174, No. 1, 405-420 (2001). MSC: 76M22 76D05 65M70 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Saleri, F.; Vigevano, L. Incompressible Navier-Stokes solutions by a triangular spectral/\(p\) element projection method. (English) Zbl 0996.76043 Comput. Methods Appl. Mech. Eng. 190, No. 51-52, 6927-6945 (2001). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Minev, P. D. A stabilized incremental projection scheme for the incompressible Navier-Stokes equations. (English) Zbl 1035.76028 Int. J. Numer. Methods Fluids 36, No. 4, 441-464 (2001). Reviewer: Volker John (Magdeburg) MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Codina, Ramon Pressure stability in fractional step finite element methods for incompressible flows. (English) Zbl 1002.76063 J. Comput. Phys. 170, No. 1, 112-140 (2001). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tabata, Masahisa; Tagami, Daisuke Error estimates for finite element approximations of drag and lift in nonstationary Navier-Stokes flows. (English) Zbl 1306.76026 Japan J. Ind. Appl. Math. 17, No. 3, 371-389 (2000). MSC: 76M10 76D05 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J.-L.; Quartapelle, L. A projection FEM for variable-density incompressible flows. (English) Zbl 0994.76051 J. Comput. Phys. 165, No. 1, 167-188 (2000). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Codina, Ramon; Blasco, Jordi Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection. (English) Zbl 0986.76037 Comput. Methods Appl. Mech. Eng. 182, No. 3-4, 277-300 (2000). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Azaïez, M.; Ben Belgacem, F.; Grundmann, M.; Khallouf, H. Staggered grid hybrid-dual spectral element method for second-order elliptic problems. Application to high-order time splitting methods for Navier-Stokes equations. (English) Zbl 0969.76066 Comput. Methods Appl. Mech. Eng. 166, No. 3-4, 183-199 (1998). Reviewer: Pavel Burda (Praha) MSC: 76M22 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J.-L.; Quartapelle, L. Calculation of incompressible viscous flows by an unconditionally stable projection FEM. (English) Zbl 0879.76050 J. Comput. Phys. 132, No. 1, 12-33 (1997). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Guermond, Jean-Luc Some implementations of projection methods for Navier-Stokes equations. (English) Zbl 0861.76065 RAIRO, Modélisation Math. Anal. Numér. 30, No. 5, 637-667 (1996). Reviewer: Th.Sonar (Hamburg) MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML