Song, Xiaoji; Chu, Xiaochen; Zhang, Tong; Yang, Pengliang A stabilized finite volume method based on the rotational pressure correction projection for the time-dependent incompressible MHD equations. (English) Zbl 07954707 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108389, 25 p. (2025). MSC: 65M08 65M60 65M06 65N08 65N30 65M15 65M12 76W05 76U05 76M12 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
John, Volker; Li, Xu; Merdon, Christian Pressure-robust \(L^2(\Omega)\) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs. (English) Zbl 07888238 Appl. Math. Lett. 156, Article ID 109138, 7 p. (2024). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 76D07 76M10 65N15 35B35 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Youlei; Liu, Demin Pressure stabilization method for the 2D/3D time-dependent natural convection equations with salt concentration. (English) Zbl 1545.76074 ZAMM, Z. Angew. Math. Mech. 104, No. 4, Article ID e202300634, 31 p. (2024). MSC: 76M20 76R10 80A19 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Esmaily, Mahdi; Jia, Dongjie A stabilized formulation for the solution of the incompressible unsteady Stokes equations in the frequency domain. (English) Zbl 07625405 J. Comput. Phys. 473, Article ID 111736, 15 p. (2023). MSC: 76Mxx 76Dxx 76Zxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Monforte, Lluís; Carbonell, Josep Maria; Arroyo, Marcos; Gens, Antonio An unconditionally stable explicit finite element algorithm for coupled hydromechanical problems of soil mechanics in pseudo-static conditions. (English) Zbl 1531.74077 Int. J. Numer. Methods Eng. 123, No. 21, 5319-5345 (2022). MSC: 74S05 74S20 74L10 74F10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bosnyakov, S. M.; Engulatova, M. F.; Matyash, S. V.; Mikhaĭlov, S. V. Mathematical modelling as an integral part of the wind tunnels experimental methodology. (Russian. English summary) Zbl 1506.76146 Mat. Model. 34, No. 7, 93-112 (2022). MSC: 76N06 76M20 76-10 76-05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen A cell-based smoothed finite element method for solving incompressible Reynolds-averaged Navier-Stokes equations using Spalart-Allmaras turbulence model. (English) Zbl 07547386 Int. J. Comput. Methods 19, No. 5, Article ID 2250011, 32 p. (2022). MSC: 76D05 76F99 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element. (English) Zbl 1521.76347 Eng. Anal. Bound. Elem. 133, 269-285 (2021). MSC: 76M10 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Huayi; Huang, Xuehai; Li, Ao Piecewise divergence-free nonconforming virtual elements for Stokes problem in any dimensions. (English) Zbl 1468.76054 SIAM J. Numer. Anal. 59, No. 3, 1835-1856 (2021). MSC: 76M99 76M10 76D07 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Wei; Fang, Jilin; Qin, Yi; Huang, Pengzhan Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization. (English) Zbl 1458.35340 Appl. Numer. Math. 160, 451-465 (2021). MSC: 35Q35 76S05 76D07 76E07 65M60 65M06 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/fractional step method for incompressible flow. (English) Zbl 1464.76056 Eng. Anal. Bound. Elem. 124, 194-210 (2021). MSC: 76M10 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Vu-Huu, T.; Le-Thanh, C.; Nguyen-Xuan, H.; Abdel-Wahab, M. An equal-order mixed polygonal finite element for two-dimensional incompressible Stokes flows. (English) Zbl 1477.76056 Eur. J. Mech., B, Fluids 79, 92-108 (2020). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Iida, Ryoya; Onishi, Yuki; Amaya, Kenji A stabilization method of F-barES-FEM-T4 for dynamic explicit analysis of nearly incompressible materials. (English) Zbl 1489.74055 Int. J. Comput. Methods 16, No. 8, Article ID 1850121, 25 p. (2019). MSC: 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Uchiumi, Shinya A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem. (English) Zbl 1418.65114 J. Sci. Comput. 80, No. 2, 834-858 (2019). MSC: 65M12 65M25 65M60 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kubo, Takayuki; Matsui, Ranmaru On pressure stabilization method for nonstationary Navier-Stokes equations. (English) Zbl 1394.35213 Commun. Pure Appl. Anal. 17, No. 6, 2283-2307 (2018). MSC: 35K20 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa Numerical analysis of the Oseen-type peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. II: A linear scheme. (English) Zbl 1421.76160 ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1663-1689 (2017). MSC: 76M10 76A10 65M12 65M25 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. I: A nonlinear scheme. (English) Zbl 1421.76159 ESAIM, Math. Model. Numer. Anal. 51, No. 5, 1637-1661 (2017). MSC: 76M10 76A10 65M12 65M25 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Wenbin; Han, Daozhi; Wang, Xiaoming Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry. (English) Zbl 1476.76089 Numer. Math. 137, No. 1, 229-255 (2017). MSC: 76T99 76S05 76M99 65M60 35Q35 65M12 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Franci, Alessandro Unified Lagrangian formulation for fluid and solid mechanics, fluid-structure interaction and coupled thermal problems using the PFEM. (English) Zbl 1366.76001 Springer Theses. Cham: Springer; Barcelona: Universitat Politècnica de Catalunya (Diss.) (ISBN 978-3-319-45661-4/hbk; 978-3-319-45662-1/ebook). xix, 211 p. (2017). Reviewer: Hilmi Demiray (Istanbul) MSC: 76-02 74-02 76M10 74S05 74F10 80A20 00A79 × Cite Format Result Cite Review PDF Full Text: DOI Link
Notsu, Hirofumi; Tabata, Masahisa Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. (English) Zbl 1381.76192 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 361-380 (2016). MSC: 76M10 65M12 65M25 65M60 76D05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Arndt, Daniel Stabilized finite element methods for coupled incompressible flow problems. (English) Zbl 1496.76003 Göttingen: Univ. Göttingen, Institut für Numerische und Angewandte Mathematik (Diss.). vii, 132 p., open access (2015). MSC: 76-02 76M10 76D07 65M60 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: Link
Notsu, Hirofumi; Tabata, Masahisa Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations. (English) Zbl 1330.76077 J. Sci. Comput. 65, No. 3, 940-955 (2015). MSC: 76M10 65M60 65M12 65M25 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chiumenti, M.; Cervera, M.; Agelet de Saracibar, C.; Dialami, N. Numerical modeling of friction stir welding processes. (English) Zbl 1297.74022 Comput. Methods Appl. Mech. Eng. 254, 353-369 (2013). MSC: 74C10 74S05 74F05 80A20 80M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hirn, Adrian Finite element approximation of problems in non-Newtonian fluid mechanics. (English) Zbl 1271.76002 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). ii, 213 p. (2012). MSC: 76-02 76M10 76A05 65M60 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: Link
Oñate, Eugenio; Idelsohn, Sergio R.; Felippa, Carlos A. Consistent pressure Laplacian stabilization for incompressible continua via higher-order finite calculus. (English) Zbl 1242.76135 Int. J. Numer. Methods Eng. 87, No. 1-5, 171-195 (2011). MSC: 76M10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yin, Lei; Feng, Minfu; Qin, Yanmei A subgrid stabilized defect-correction method for the stationary Navier-Stokes problem based on polynomial pressure projections. (Chinese. English summary) Zbl 1249.65257 Numer. Math., Nanjing 33, No. 3, 235-249 (2011). MSC: 65N30 76D05 × Cite Format Result Cite Review PDF
Oñate, Eugenio; Nadukandi, Prashanth; Idelsohn, Sergio R.; García, Julio; Felippa, Carlos A family of residual-based stabilized finite element methods for Stokes flows. (English) Zbl 1427.76056 Int. J. Numer. Methods Fluids 65, No. 1-3, 106-134 (2011). MSC: 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Yue; Hu, Bing; Xu, Youcai The pressure gradient stabilization for Darcy-Stokes equation based on local projections. (Chinese. English summary) Zbl 1240.76023 J. Sichuan Univ., Nat. Sci. Ed. 47, No. 4, 679-683 (2010). MSC: 76M10 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Masayuki; Masunaga, Takayuki Stabilization and smoothing of pressure in MPS method by quasi-compressibility. (English) Zbl 1334.76121 J. Comput. Phys. 229, No. 11, 4279-4290 (2010). MSC: 76M28 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yan; He, Yinnian Assessment of subgrid-scale models for the incompressible Navier-Stokes equations. (English) Zbl 1273.76082 J. Comput. Appl. Math. 234, No. 2, 593-604 (2010). MSC: 76D05 76M10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Layton, William; Manica, Carolina C.; Neda, Monika; Olshanskii, Maxim; Rebholz, Leo G. On the accuracy of the rotation form in simulations of the Navier-Stokes equations. (English) Zbl 1161.76030 J. Comput. Phys. 228, No. 9, 3433-3447 (2009). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Nazarov, Serguei A.; Specovius-Neugebauer, Maria Optimal convergence results for the Brezzi-Pitkäranta approximation of the Stokes problem: exterior domains. (English) Zbl 1151.76010 Rencławowicz, Joanna (ed.) et al., Parabolic and Navier-Stokes equations. Part 1. Proceedings of the confererence, Bȩdlewo, Poland, September 10–17, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 81, Pt. 1, 297-320 (2008). MSC: 76D07 35Q30 × Cite Format Result Cite Review PDF Full Text: Link
Picasso, Marco; Rappaz, Jacques Stability of time-splitting schemes for the Stokes problem with stabilized finite elements. (English) Zbl 0997.76047 Numer. Methods Partial Differ. Equations 17, No. 6, 632-656 (2001). MSC: 76M10 76D07 65M12 76M20 × 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 Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods. (English) Zbl 0998.76047 Comput. Methods Appl. Mech. Eng. 190, No. 13-14, 1579-1599 (2000). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Kashiyama, Kazuo; Tamai, Tsukasa; Inomata, Wataru; Yamaguchi, Satoshi A parallel finite element method for incompressible Navier-Stokes flows based on unstructured grids. (English) Zbl 0973.76050 Comput. Methods Appl. Mech. Eng. 190, No. 3-4, 333-344 (2000). MSC: 76M10 76D05 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Buscaglia, Gustavo C.; Basombrío, Fernando G.; Codina, Ramon Fourier analysis of an equal-order incompressible flow solver stabilized by pressure gradient projection. (English) Zbl 0985.76049 Int. J. Numer. Methods Fluids 34, No. 1, 65-92 (2000). MSC: 76M10 76D05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Cairncross, Richard A.; Schunk, P. Randall; Baer, Thomas A.; Rao, Rekha R.; Sackinger, Phillip A. A finite element method for free surface flows of incompressible fluids in three dimensions. I: Boundary fitted mesh motion. (English) Zbl 0989.76043 Int. J. Numer. Methods Fluids 33, No. 3, 375-403 (2000). MSC: 76M10 76D27 76D45 × 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
He, Songnian; Yang, Caiping Spectral approximation based on the pressure stabilization method for unsteady Navier-Stokes equations. (English) Zbl 0953.76072 J. Math. Res. Expo. 19, No. 1, 25-36 (1999). MSC: 76M22 76D05 × Cite Format Result Cite Review PDF
Leborgne, G. Optimally consistent stabilization of the inf-sup condition and a computation of the pressure. (English) Zbl 0962.76051 Amann, H. (ed.) et al., Navier-Stokes equations and related nonlinear problems. Proceedings of the 6th international conference NSEC-6, Palanga, Lithuania, May 22-29, 1997. Utrecht: VSP. 91-111 (1998). MSC: 76M10 76D05 65N30 76D07 × Cite Format Result Cite Review PDF
Codina, R.; Vázquez, M.; Zienkiewicz, O. C. A general algorithm for compressible and incompressible flows. III: The semi-implicit form. (English) Zbl 0914.76050 Int. J. Numer. Methods Fluids 27, No. 1-4, 13-32 (1998). MSC: 76M10 76N10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Rannacher, R. On the numerical solution of the incompressible Navier-Stokes equations. (English) Zbl 0798.76069 Z. Angew. Math. Mech. 73, No. 9, 203-216 (1993). MSC: 76M25 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Rannacher, Rolf On Chorin’s projection method for the incompressible Navier-Stokes equations. (English) Zbl 0769.76053 The Navier-Stokes equations II - theory and numerical methods, Proc. Conf., Oberwolfach/Ger. 1991, Lect. Notes Math. 1530, 167-183 (1992). MSC: 76M25 76D05 65M60 35Q30 × Cite Format Result Cite Review PDF