Frachon, Thomas; Nilsson, Erik; Zahedi, Sara Divergence-free cut finite element methods for Stokes flow. (English) Zbl 07930660 BIT 64, No. 4, Paper No. 39, 43 p. (2024). MSC: 65N30 65N85 65N50 65N22 65N12 65F35 41A25 76D07 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronson, Ryan M.; Evans, John A. Divergence-conforming isogeometric collocation methods for the incompressible Navier-Stokes equations. (English) Zbl 1539.76097 Comput. Methods Appl. Mech. Eng. 410, Article ID 115990, 32 p. (2023). MSC: 76M10 65M60 65D07 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boon, Wietse M.; Fumagalli, Alessio A multipoint vorticity mixed finite element method for incompressible Stokes flow. (English) Zbl 1503.76060 Appl. Math. Lett. 137, Article ID 108498, 8 p. (2023). MSC: 76M10 76D07 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xi; Feng, Minfu A weak Galerkin mixed finite element method for acoustic wave equation. (English) Zbl 1499.65550 Adv. Appl. Math. Mech. 14, No. 4, 936-959 (2022). MSC: 65M60 65M06 65N30 65M12 35R09 45K05 35M30 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yujie; Yang, Chao VPVnet: a velocity-pressure-vorticity neural network method for the Stokes’ equations under reduced regularity. (English) Zbl 1492.76040 Commun. Comput. Phys. 31, No. 3, 739-770 (2022). MSC: 76D07 65N12 65N15 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Xiaowei; Cai, Shengze; Li, Hui; Karniadakis, George Em NSFnets (Navier-Stokes flow nets): physics-informed neural networks for the incompressible Navier-Stokes equations. (English) Zbl 07510065 J. Comput. Phys. 426, Article ID 109951, 26 p. (2021). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eldahshan, Hazem; Bouchard, Pierre-Olivier; Alves, José; Perchat, Etienne; Munoz, Daniel Pino Phase field modeling of ductile fracture at large plastic strains using adaptive isotropic remeshing. (English) Zbl 1490.74098 Comput. Mech. 67, No. 3, 763-783 (2021). MSC: 74R20 74C15 74S05 74G65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Abdelwahed, Mohamed; Chorfi, Nejmeddine Spectral discretization of time-dependent vorticity-velocity-pressure formulation of the Navier-Stokes equations. (English) Zbl 1499.65552 Bound. Value Probl. 2020, Paper No. 152, 14 p. (2020). MSC: 65M70 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelwahed, Mohamed; Chorfi, Nejmeddine; Ouertani, Henda The spectral implementation of the nonstationary Stokes problem with nonstandard boundary conditions. (English) Zbl 1493.65166 Bound. Value Probl. 2020, Paper No. 94, 20 p. (2020). MSC: 65M70 65M06 65N35 65N30 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, F.; Banks, J. W.; Henshaw, W. D.; Schwendeman, D. W. Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids. (English) Zbl 1442.76079 Comput. Methods Appl. Mech. Eng. 366, Article ID 113040, 32 p. (2020). MSC: 76M20 65M06 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Nisters, Carina; Schwarz, Alexander Efficient stress-velocity least-squares finite element formulations for the incompressible Navier-Stokes equations. (English) Zbl 1440.76081 Comput. Methods Appl. Mech. Eng. 341, 333-359 (2018). MSC: 76M10 65N30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Loukili, M.; Mordane, S. New contribution to Stokes equations. (English) Zbl 1369.76013 Adv. Appl. Fluid Mech. 20, No. 1, 107-116 (2017). MSC: 76D05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
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
John, Volker Finite element methods for incompressible flow problems. (English) Zbl 1358.76003 Springer Series in Computational Mathematics 51. Cham: Springer (ISBN 978-3-319-45749-9/hbk; 978-3-319-45750-5/ebook). xiii, 812 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76-02 76M10 76M20 76D05 76B47 76F65 00A79 65M06 65M12 65M15 65M60 65N12 65N15 65N30 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Delcourte, Sarah; Omnes, Pascal A discrete duality finite volume discretization of the vorticity-velocity-pressure Stokes problem on almost arbitrary two-dimensional grids. (English) Zbl 1308.76183 Numer. Methods Partial Differ. Equations 31, No. 1, 1-30 (2015). MSC: 76M12 65N08 65D07 65N15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Salaün, Michel; Salmon, Stéphanie Low-order finite element method for the well-posed bidimensional Stokes problem. (English) Zbl 1326.76067 IMA J. Numer. Anal. 35, No. 1, 427-453 (2015). MSC: 76M10 76D05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
El Khaoulani, R.; Bouchard, P.-O. Efficient numerical integration of an elastic-plastic damage law within a mixed velocity-pressure formulation. (English) Zbl 1499.74023 Math. Comput. Simul. 94, 145-158 (2013). MSC: 74C05 74G15 74R05 37M15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chorfi, Nejmeddine; Abdellatif, Nahla; Trabelsi, Sihem Spectral discretization of the axisymmetric vorticity, velocity and pressure formulation of the Navier-Stokes problem. (English) Zbl 1426.76500 J. Comput. Appl. Math. 241, 1-18 (2013). MSC: 76M22 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kwon, Oh Sung; Kweon, Jae Ryong For the vorticity-velocity-pressure form of the Navier-Stokes equations on a bounded plane domain with corners. (English) Zbl 1236.35108 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2936-2956 (2012). MSC: 35Q30 35J57 76D03 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Salaün, Michel; Salmon, Stéphanie Numerical stabilization of the Stokes problem in vorticity-velocity-pressure formulation. (English) Zbl 1173.76353 Comput. Methods Appl. Mech. Eng. 196, No. 9-12, 1767-1786 (2007). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Dettmer, W.; Perić, D. A computational framework for free surface fluid flows accounting for surface tension. (English) Zbl 1115.76043 Comput. Methods Appl. Mech. Eng. 195, No. 23-24, 3038-3071 (2006). MSC: 76M10 76D45 76D27 × Cite Format Result Cite Review PDF Full Text: DOI
Bernardi, Christine; Chorfi, Nejmeddine Spectral discretization of the vorticity, velocity, and pressure formulation of the Stokes problem. (English) Zbl 1117.65159 SIAM J. Numer. Anal. 44, No. 2, 826-850 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 35Q30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Kwang-Soo; Lee, Seung-Jae; Suh, Jung-Chun A combined vortex and panel method for numerical simulations of viscous flows: a comparative study of a vortex particle method and a finite volume method. (English) Zbl 1284.76268 Int. J. Numer. Methods Fluids 49, No. 10, 1087-1110 (2005). MSC: 76M12 76M28 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Shangyou A new family of stable mixed finite elements for the 3D Stokes equations. (English) Zbl 1085.76042 Math. Comput. 74, No. 250, 543-554 (2005). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Dubois, F.; Salaün, M.; Salmon, S. First vorticity-velocity-pressure numerical scheme for the Stokes problem. (English) Zbl 1054.76047 Comput. Methods Appl. Mech. Eng. 192, No. 44-46, 4877-4907 (2003). MSC: 76M10 76D07 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
van Os, R. G. M.; Gerritsma, M. I. A variable-order spectral element scheme applied to the velocity-pressure-total-stress formulation of the upper convected Maxwell model. (English) Zbl 1020.76039 J. Non-Newton. Fluid Mech. 108, No. 1-3, 73-97 (2002). MSC: 76M22 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Deville, M. O.; Fischer, P. F.; Mund, E. H. High-order methods for incompressible fluid flow. (English) Zbl 1007.76001 Cambridge Monographs on Applied and Computational Mathematics. 9. Cambridge: Cambridge University Press. xxvii, 499 p. (2002). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 76-02 76Mxx 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Serre, E.; Bontoux, P. Vortex breakdown in a three-dimensional swirling flow. (English) Zbl 1009.76021 J. Fluid Mech. 459, 347-370 (2002). Reviewer: Arkadi Berezovski (Tallinn) MSC: 76D17 76U05 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Peyret, Roger Spectral methods for incompressible viscous flow. (English) Zbl 1005.76001 Applied Mathematical Sciences. 148. New York, NY: Springer. xi, 432 p. (2002). Reviewer: Adabala Ramachandra Rao (Bangalore) MSC: 76-02 76M22 76D05 × Cite Format Result Cite Review PDF
Kim, Sang Dong; Shin, Byeong Chun \(H^{-1}\) least-squares method for the velocity-pressure-stress formulation of Stokes equations. (English) Zbl 1015.76040 Appl. Numer. Math. 40, No. 4, 451-465 (2002). MSC: 76M10 76D07 65N30 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Petersson, N. Anders Stability of pressure boundary conditions for Stokes and Navier-Stokes equations. (English) Zbl 1014.76064 J. Comput. Phys. 172, No. 1, 40-70 (2001). MSC: 76M20 76D05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, C. H.; Leung, D. Y. C. Development of a finite element solution for the unsteady Navier-Stokes equations using projection method and fractional-\(\theta\)-scheme. (English) Zbl 1015.76041 Comput. Methods Appl. Mech. Eng. 190, No. 32-33, 4301-4317 (2001). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Antúnez, Horacio J. Linear elements for metal-forming problems within the flow approach. (English) Zbl 1010.74059 Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 783-801 (2000). MSC: 74S05 74C20 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuejun On the accuracy of nonconforming quadrilateral \(Q_1\) element approximation for the Navier-Stokes problem. (English) Zbl 0987.76057 SIAM J. Numer. Anal. 38, No. 1, 17-39 (2000). Reviewer: Jagdish Prakash (Mumbai) MSC: 76M10 76D05 65N30 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Smagulov, Sh. S.; Temirbekov, N. M.; Kamaubaev, K. S. Modeling a boundary condition on the pressure by the fictitious domain method in incompressible flow problems. (Russian. English summary) Zbl 0949.76063 Sib. Zh. Vychisl. Mat. 3, No. 1, 57-71 (2000). Reviewer: V.I.Pinchukov (Novosibirsk) MSC: 76M20 76D05 × Cite Format Result Cite Review PDF
Deng, Qing Ping; Xu, Xuejun; Shen, Shumin Maximum norm error estimates of Crouzeix-Raviart nonconforming finite element approximation of Navier-Stokes problem. (English) Zbl 0978.76049 J. Comput. Math. 18, No. 2, 141-156 (2000). MSC: 76M10 76D05 65N15 × Cite Format Result Cite Review PDF
Gerritsma, M. I.; Phillips, T. N. Compatible approximation spaces for the velocity-pressure-stress formulation for creeping flows. (English) Zbl 0993.76060 Appl. Numer. Math. 33, No. 1-4, 225-231 (2000). MSC: 76M22 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Hannani, Siamak Kazemzadeh; Stanislas, Michel Incompressible turbulent flow simulation using a Galerkin/least-squares formulation and a low Reynolds number \(k-\epsilon\) model. (English) Zbl 0965.76042 Comput. Methods Appl. Mech. Eng. 181, No. 1-3, 107-116 (2000). MSC: 76M10 76F60 × Cite Format Result Cite Review PDF Full Text: DOI
Abbès, Boussad; Ayad, Rezak; Rigolot, Alain A pseudo-concentration method for the full 3D simulation of filling injection moulds. (Une méthode de pseudo-concentration pour la simulation 3D volumique du remplissage de moules d’injection.) (French) Zbl 0993.76042 Rev. Eur. Élém. Finis 8, No. 7, 695-724 (1999). MSC: 76M10 76A05 82D60 × Cite Format Result Cite Review PDF Full Text: DOI
Carneiro de Araujo, J. H.; Ruas, V. A finite element method for the axisymmetric three-field Stokes system with a discontinuous pressure. (English) Zbl 0957.76026 Numer. Methods Partial Differ. Equations 15, No. 6, 739-763 (1999). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
He, Yinnian; Mattheij, R. M. M. The coupling of boundary integral and finite element methods for the exterior steady Oseen problem. (English) Zbl 0953.76048 Comput. Math. Appl. 37, No. 2, 27-40 (1999). MSC: 76M10 76M15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Ouazzi, Abderrahim A mixed formulation of the Stokes equation in terms of \((\omega,p,u)\). (English) Zbl 0946.76013 Numer. Algorithms 21, No. 1-4, 343-352 (1999). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Schwab, Christoph; Suri, Manil Mixed \(hp\) finite element methods for Stokes and non-Newtonian flow. (English) Zbl 0924.76052 Comput. Methods Appl. Mech. Eng. 175, No. 3-4, 217-241 (1999). MSC: 76M10 76D07 76A05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pichelin, E.; Coupez, T. Finite element solution of the 3D mold filling problem for viscous incompressible fluid. (English) Zbl 0963.76051 Comput. Methods Appl. Mech. Eng. 163, No. 1-4, 359-371 (1998). MSC: 76M10 76A05 × Cite Format Result Cite Review PDF Full Text: DOI
Carneiro de Araujo, J. H.; Ruas, V. A stable finite element method for the axisymmetric three-field Stokes system. (English) Zbl 0958.76038 Comput. Methods Appl. Mech. Eng. 164, No. 3-4, 267-286 (1998). MSC: 76M10 76D07 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Bo-Nan On the least-squares method. (English) Zbl 0968.76040 Comput. Methods Appl. Mech. Eng. 152, No. 1-2, 239-257 (1998). MSC: 76M10 76D07 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Sandri, D. A posteriori estimators for mixed finite element approximations of a fluid obeying the power law. (English) Zbl 0953.76057 Comput. Methods Appl. Mech. Eng. 166, No. 3-4, 329-340 (1998). MSC: 76M10 76A05 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Fujima, Shoichi A domain-decomposition/upwind finite element approximation for the Navier-Stokes equations. (English) Zbl 0952.76034 RIMS Kokyuroku 1061, 164-176 (1998). MSC: 76M10 76D05 65M55 × Cite Format Result Cite Review PDF
Ern, Alexandre Vorticity-velocity formulation of the Stokes problem with variable density and viscosity. (English) Zbl 0953.76079 Math. Models Methods Appl. Sci. 8, No. 2, 203-218 (1998). Reviewer: A.R.Rao (Bangalore) MSC: 76N10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Bisset, David K. The AGE method for direct numerical simulation of turbulent shear flow. (English) Zbl 0931.76056 Int. J. Numer. Methods Fluids 28, No. 7, 1013-1031 (1998). MSC: 76M20 76F10 76D05 76F25 × Cite Format Result Cite Review PDF Full Text: DOI
Alfonsi, Giancarlo; Passoni, Giuseppe; Pancaldo, Lea; Zampaglione, Domenico A spectral-finite difference solution of the Navier-Stokes equations in three dimensions. (English) Zbl 0928.76076 Int. J. Numer. Methods Fluids 28, No. 1, 129-142 (1998). MSC: 76M22 76M20 76D05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Fujima, Shoichi Iso-P2 P1/P1/P1 domain-decomposition/finite-element method for the Navier-Stokes equations. (English) Zbl 0935.76043 Mandel, Jan (ed.) et al., Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10-14, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 218, 246-253 (1998). MSC: 76M10 76D05 65M55 65Y05 × Cite Format Result Cite Review PDF
Le Quéré, Patrick; Behnia, Masud From onset of unsteadiness to chaos in a differentially heated square cavity. (English) Zbl 0916.76055 J. Fluid Mech. 359, 81-107 (1998). MSC: 76M25 76E15 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, J. A new uncoupled formulation of the 2-D velocity-vorticity system. (English) Zbl 0894.76018 Appl. Math. Lett. 10, No. 4, 77-82 (1997). MSC: 76D07 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Schlatter, G.; Vincent, M.; Agassant, J.-F. Unsteady flow of two viscous fluids in a tubular cavity – application to co-injection molding of thermoplastic polymers. (English) Zbl 0938.76006 Eur. J. Mech., B 16, No. 5, 693-704 (1997). Reviewer: S.Han (Chengdu) MSC: 76A05 76M10 82D60 × Cite Format Result Cite Review PDF
Sheu, Tony W. H.; Lee, Shi-Min A segregated solution algorithm for incompressible flows in general coordinates. (English) Zbl 0873.76054 Int. J. Numer. Methods Fluids 22, No. 6, 515-548 (1996). Reviewer: E.Lanckau (Chemnitz) MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ern, Alexandre Vorticity-velocity formulation of the Stokes problem with variable density and viscosity. (English. Abridged French version) Zbl 0865.76082 C. R. Acad. Sci., Paris, Sér. I 323, No. 10, 1159-1164 (1996). MSC: 76N10 35Q30 × Cite Format Result Cite Review PDF
Kaliakatsos, Ch.; Pentaris, A.; Koutsouris, D.; Tsangaris, S. Application of an artificial compressibility methodology for the incompressible flow through a wavy channel. (English) Zbl 0859.76046 Commun. Numer. Methods Eng. 12, No. 6, 359-369 (1996). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Chesneaux, Jean-Marie; Troff, Bruno Computational stability study using the CADNA software applied to the Navier-Stokes solver PEGASE. (English) Zbl 0853.76035 Alefeld, Götz (ed.) et al., Scientific computing and validated numerics. Proceedings of the international symposium on scientific computing, computer arithmetic and validated numerics SCAN-95, Wuppertal, Germany, September 26-29, 1995. Berlin: Akademie Verlag. Math. Res. 90, 84-90 (1996). MSC: 76M10 65M12 76D05 × Cite Format Result Cite Review PDF
E, Weinan; Liu, Jian-Guo Vorticity boundary condition and related isssues for finite difference schemes. (English) Zbl 0847.76050 J. Comput. Phys. 124, No. 2, 368-382 (1996). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shenlin The generalized stability and convergence estimations of finite element methods for the Navier-Stokes equations. (English) Zbl 0841.76042 Deng, Zhongqi (ed.) et al., Differential equations and control theory. Proceedings of the international conference, Wuhan, People’s Republic of China, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 176, 357-362 (1996). MSC: 76M10 76D05 35Q30 65N30 × Cite Format Result Cite Review PDF
Heinrichs, Wilhelm High-order time splitting for the Stokes equations. (English) Zbl 0901.76056 J. Sci. Comput. 11, No. 4, 397-410 (1996). Reviewer: J.Siekmann (Essen) MSC: 76M25 76D07 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Belonosov, M. S.; Litvinov, W. G. Finite element methods for nonlinearly viscous fluids. (English) Zbl 0878.76040 Z. Angew. Math. Mech. 76, No. 6, 307-320 (1996). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Peiliang; Xu, Xuejun The nonconforming finite element methods with moving grid for Navier-Stokes equations. (Chinese. English summary) Zbl 0840.76034 Appl. Math., Ser. A (Chin. Ed.) 10, No. 3, 265-274 (1995). MSC: 76M10 76D05 65M60 × Cite Format Result Cite Review PDF
Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M. Navier-Stokes equations with imposed pressure and velocity fluxes. (English) Zbl 0831.76011 Int. J. Numer. Methods Fluids 20, No. 4, 267-287 (1995). MSC: 76D05 76M10 76D07 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Peiliang; Xu, Xuejun Nonconforming finite element methods with moving grid for Stokes problems. (Chinese. English summary) Zbl 0827.76041 Numer. Math., Nanjing 17, No. 1, 74-81 (1995). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF
Jiang, B. N.; Sonnad, V. Least-squares solution of incompressible Navier-Stokes equations with the \(p\)-version of finite elements. (English) Zbl 0819.76045 Comput. Mech. 15, No. 2, 129-136 (1994). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF
Bruneau, Ch.-H.; Fabrie, P. Effective downstream boundary conditions for incompressible Navier-Stokes equations. (English) Zbl 0816.76024 Int. J. Numer. Methods Fluids 19, No. 8, 693-705 (1994). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Shumin; Deng, Qingping Maximum norm error estimates for finite element approximations of the stationary and nonstationary Navier-Stokes problems. (English) Zbl 0799.76047 Acta Math. Sci. 13, No. 3, 335-349 (1993). MSC: 76M10 76D05 65M15 65N15 × Cite Format Result Cite Review PDF
Behr, M.; Johnson, A.; Kennedy, J.; Mittal, S.; Tezduyar, T. Computation of incompressible flows with implicit finite element implementations on the Connection Machine. (English) Zbl 0784.76046 Comput. Methods Appl. Mech. Eng. 108, No. 1-2, 99-118 (1993). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Quartapelle, Luigi Numerical solution of the incompressible Navier-Stokes equations. (English) Zbl 0784.76020 ISNM. International Series of Numerical Mathematics. 113. Basel: Birkäuser. xii, 291 p. (1993). Reviewer: W.Heinrichs (Düsseldorf) MSC: 76D05 65N30 65N35 76-02 76Mxx × Cite Format Result Cite Review PDF
Amon, Cristina H. Spectral element-Fourier method for transitional flows in complex geometries. (English) Zbl 0776.76064 AIAA J. 31, No. 1, 42-48 (1993). MSC: 76M25 76D05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Bo-Nan A least-squares finite element method for incompressible Navier-Stokes problems. (English) Zbl 0753.76097 Int. J. Numer. Methods Fluids 14, No. 7, 843-859 (1992). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ruas, V. A survey on finite element method for the 3D incompressible Navier-Stokes equations. (English) Zbl 0748.76074 Applied mathematics for engineering sciences, Proc. 2nd Fr.-Chil. Symp., Santiago de Chile/Chile 1989, 375-387 (1991). MSC: 76M10 76D05 65N30 76-02 × Cite Format Result Cite Review PDF
Gresho, P. M. Some current CFD issues relevant to the incompressible Navier-Stokes equations. (English) Zbl 0760.76018 Comput. Methods Appl. Mech. Eng. 87, No. 2-3, 201-252 (1991). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Hansbo, Peter; Szepessy, Anders A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations. (English) Zbl 0716.76048 Comput. Methods Appl. Mech. Eng. 84, No. 2, 175-192 (1990). MSC: 76M10 76D05 76M30 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Bo-Nan; Chang, C. L. Least-squares finite elements for the Stokes problem. (English) Zbl 0706.76033 Comput. Methods Appl. Mech. Eng. 78, No. 3, 297-311 (1990). MSC: 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Stenberg, Rolf A technique for analysing finite element methods for viscous incompressible flow. (English) Zbl 0704.76017 Int. J. Numer. Methods Fluids 11, No. 6, 935-948 (1990). MSC: 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Suh, S.-H.; Benim, A. C. The primitive variables formulation of the Navier-Stokes equations using the finite analytic method. (English) Zbl 0696.76032 Appl. Math. Modelling 13, No. 9, 550-554 (1989). MSC: 76D05 65N30 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Lê, T. H.; Mège, P.; Morchoisne, Y. Simulation numérique de l’éclatement tourbillonnaire par résolution des équations d’Euler en fluide incompressible. (Numerical simulation of vortex breakdown by solving the Euler equations for an incompressible fluid). (French) Zbl 0688.76042 Rech. Aérosp. 1989, No. 5, 35-49 (1989). MSC: 76F99 76M99 × Cite Format Result Cite Review PDF
Durán, R.; Nochetto, R. H.; Wang, Junping Sharp maximum norm error estimates for finite element approximations of the Stokes problem in 2-D. (English) Zbl 0699.76038 Math. Comput. 51, No. 184, 491-506 (1988). MSC: 76D07 65N30 65N15 65N50 65B05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ghia, U.; Ramamurti, R.; Ghia, K. N. Solution of the Neumann pressure problem in general orthogonal coordinates using the multigrid technique. (English) Zbl 0664.76032 AIAA J. 26, No. 5, 538-547 (1988). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Süli, Endre Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations. (English) Zbl 0637.76024 Numer. Math. 53, No. 4, 459-483 (1988). Reviewer: E.Süli MSC: 76D05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Michelassi, V.; Benocci, C. Prediction of incompressible flow separation with the approximate factorization technique. (English) Zbl 0636.76031 Int. J. Numer. Methods Fluids 7, 1383-1403 (1987). MSC: 76D10 76M99 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wu; Zhou, Tianxiao A mixed stiffness finite element method for Navier-Stokes equation. (English) Zbl 0631.76020 J. Comput. Math. 5, 156-180 (1987). Reviewer: V.Korneev MSC: 76D05 35Q30 65N30 × Cite Format Result Cite Review PDF
Caussignac, Ph. Computation of pressure from the finite element vorticity stream-function approximation of the Stokes problem. (English) Zbl 0615.76041 Commun. Appl. Numer. Methods 3, 287-295 (1987). MSC: 76D07 76M99 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Škerget, P.; Alujevič, A.; Brebbia, C. A. Vorticity - velocity - pressure boundary integral formulation. (English) Zbl 0615.76036 Boundary Elem. 8, vol. 2, 829-834 (1986). MSC: 76D05 35Q30 76M99 × Cite Format Result Cite Review PDF
Johnson, Claes; Saranen, Jukka Streamline diffusion methods for the incompressible Euler and Navier- Stokes equations. (English) Zbl 0609.76020 Math. Comput. 47, 1-18 (1986). Reviewer: J.Groß MSC: 76D05 65N30 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Braza, M.; Chassaing, P.; Minh, H. Ha Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. (English) Zbl 0596.76047 J. Fluid Mech. 165, 79-130 (1986). MSC: 76D25 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Benim, A. C.; Zinser, W. A segregated formulation of Navier-Stokes equations with finite elements. (English) Zbl 0587.76037 Comput. Methods Appl. Mech. Eng. 57, 223-237 (1986). MSC: 76D05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Cliffe, K. A.; Lever, D. A. A comparison of finite-element methods for solving flow past a sphere. (English) Zbl 0581.76024 J. Comput. Phys. 62, 321-330 (1986). MSC: 76B47 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Jialin The boundary integral equation method for solving stationary Stokes problems. (English) Zbl 0658.76033 Differential geometry and differential equations, Proc. Symp., Beijing/China 1984, 374-377 (1985). MSC: 76D07 76M99 × Cite Format Result Cite Review PDF
Ruas, Vitoriano Quasisolenoidal velocity-pressure finite element methods for the three-dimensional Stokes problem. (English) Zbl 0577.65109 Numer. Math. 46, 237-253 (1985). Reviewer: C.-I. Gheorghiu MSC: 65N30 76M10 76D07 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Morchoisne, Y. Inhomogeneous flow calculations by spectral methods: Mono-domain and multi-domain techniques. (English) Zbl 0555.76031 Spectral methods for partial differential equations, Proc. Symp., NASA Langley Res. Cent. 1982, 181-208 (1984). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF
Stenberg, Rolf Analysis of mixed finite element methods for the Stokes problem: A unified approach. (English) Zbl 0535.76037 Math. Comput. 42, 9-23 (1984). MSC: 76D07 76M99 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Bramley, J. S. Note on the calculation of eigenvalues for the stationary perturbation of Poiseuille flow. (English) Zbl 0531.76032 J. Comput. Phys. 53, 524-529 (1984). MSC: 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Hasan, Q.; Natarajan, R.; Seshadri, V. Analysis of fluid flows at moderate Reynolds numbers through tubes with constriction. (English) Zbl 0549.76021 Numerical methods in laminar and turbulent flow, Proc. 3rd Int. Conf., Seattle/Wash. 1983, 1250-1260 (1983). MSC: 76D05 76M99 76Z05 65N06 × Cite Format Result Cite Review PDF
Timin, Tsai; Esmail, M. Nabil A comparative study of central and upwind difference schemes using the primitive variables. (English) Zbl 0523.76020 Int. J. Numer. Methods Fluids 3, 295-305 (1983). MSC: 76D05 76M99 35R35 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández Cara, E. On the numerical approximation of a geometric control problem. (Spanish. English summary) Zbl 0536.76037 Collect. Math. 33, 225-247 (1982). MSC: 76D05 76M99 76G25 × Cite Format Result Cite Review PDF Full Text: EuDML
Metivet, B.; Morchoisne, Y. Multi-domain spectral technique for viscous flow calculations. (English) Zbl 0515.76031 Numerical methods in fluid mechanics, Proc. 4th GAMM-Conf., Paris 1981, Notes Numer. Fluid Mech. 5, 207-219 (1982). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF