Kyburg, Felix E.; Rojas, Sergio; Calo, Victor M. Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization. (English) Zbl 1531.65244 Int. J. Numer. Methods Eng. 123, No. 8, 1717-1735 (2022). MSC: 65N30 65N50 65F08 65N15 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kotowski, Michał; Virág, Bálint Large deviations for the interchange process on the interval and incompressible flows. (English) Zbl 1506.35164 Geom. Funct. Anal. 32, No. 6, 1357-1427 (2022). MSC: 35Q35 35Q31 60A10 60F10 60G09 60G10 49M41 35A24 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sielenkämper, Marian; Wulfinghoff, Stephan A thermomechanical finite strain shape memory alloy model and its application to bistable actuators. (English) Zbl 1498.74059 Acta Mech. 233, No. 8, 3059-3094 (2022). MSC: 74M05 74F05 74C15 × Cite Format Result Cite Review PDF Full Text: DOI
Bardella, Lorenzo; Volpini, Valentina; Gei, Massimiliano On the effect of the volumetric deformation in soft dielectric composites with high phase contrast. (English) Zbl 1487.74037 J. Elasticity 148, No. 2, 167-198 (2022). MSC: 74F15 74E30 74Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Kaltenbach, Alex Theory of pseudo-monotone operators for unsteady problems in variable exponent spaces. (English) Zbl 1486.47002 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). xii, 213 p. (2021). MSC: 47-02 47J05 47H05 47N50 76W05 76D05 × Cite Format Result Cite Review PDF Full Text: Link Link
Su, Haiyan; Feng, Xinlong; Zhao, Jianping Penalty decoupled iterative methods for the stationary natural convection equations with different Rayleigh numbers. (English) Zbl 1459.76083 Appl. Numer. Math. 163, 270-291 (2021). MSC: 76M10 76R10 65N12 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Wessels, Henning; Weißenfels, Christian; Wriggers, Peter The neural particle method - an updated Lagrangian physics informed neural network for computational fluid dynamics. (English) Zbl 1506.76136 Comput. Methods Appl. Mech. Eng. 368, Article ID 113127, 15 p. (2020). MSC: 76M28 76Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yi; Hou, Yanren; Rong, Yao A second-order artificial compression method for the evolutionary Stokes-Darcy system. (English) Zbl 1507.76114 Numer. Algorithms 84, No. 3, 1019-1048 (2020). MSC: 76M10 76S05 76D07 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Baradat, Aymeric On the existence of a scalar pressure field in the Brödinger problem. (English) Zbl 1460.76652 SIAM J. Math. Anal. 52, No. 1, 370-401 (2020). MSC: 76M30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bustamante, R.; Orellana, O.; Meneses, R.; Rajagopal, K. R. Large deformations of a new class of incompressible elastic bodies. (English) Zbl 1431.74021 Z. Angew. Math. Phys. 67, No. 3, Article ID 47, 21 p. (2016). MSC: 74B20 74A20 × Cite Format Result Cite Review PDF Full Text: DOI
van Opstal, T. M.; van Brummelen, E. H.; van Zwieten, G. J. A finite-element/boundary-element method for three-dimensional, large-displacement fluid-structure-interaction. (English) Zbl 1423.74287 Comput. Methods Appl. Mech. Eng. 284, 637-663 (2015). MSC: 74F10 65N30 65N38 74S05 74S15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Matthies, G.; Lube, G.; Rohe, L. Some remarks on residual-based stabilisation of inf-sup stable discretisations of the generalised Oseen problem. (English) Zbl 1245.76051 Comput. Methods Appl. Math. 9, No. 4, 368-390 (2009). MSC: 76M10 76D07 65M60 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Conti, Sergio; Dolzmann, Georg \(\Gamma \)-convergence for incompressible elastic plates. (English) Zbl 1161.74038 Calc. Var. Partial Differ. Equ. 34, No. 4, 531-551 (2009). MSC: 74K20 74G65 35Q72 49J45 × Cite Format Result Cite Review PDF Full Text: DOI
Negahban, Mehrdad Single and multiple material constraints in thermoelasticity. (English) Zbl 1133.74012 Math. Mech. Solids 12, No. 6, 623-664 (2007). MSC: 74F05 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Dolbow, J. E.; Devan, A. Enrichment of enhanced assumed strain approximations for representing strong discontinuities: Addressing volumetric incompressibility and the discontinuous patch test. (English) Zbl 1047.74055 Int. J. Numer. Methods Eng. 59, No. 1, 47-67 (2004). MSC: 74S05 74R10 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Berrone, Stefano Robustness in a posteriori error analysis for FEM flow models. (English) Zbl 1009.76049 Numer. Math. 91, No. 3, 389-422 (2002). MSC: 76M10 76D07 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wong, K. L.; Baker, A. J. A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm. (English) Zbl 1009.76059 Int. J. Numer. Methods Fluids 38, No. 2, 99-123 (2002). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Boukamel, A.; Méo, S.; Débordes, O.; Jaeger, M. A thermo-viscoelastic model for elastomeric behaviour and its numerical application. (English) Zbl 1016.74014 Arch. Appl. Mech. 71, No. 12, 785-801 (2001). MSC: 74D10 74F05 74S05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Christov, C. I.; Marinova, R. S. Implicit vectorial operator splitting for incompressible Navier-Stokes equations in primitive variables. (English. Russian summary) Zbl 1018.76030 Vychisl. Tekhnol. 6, No. 4, 92-119 (2001). Reviewer: V.I.Pinchukov (Novosibirsk) MSC: 76M20 76D05 × Cite Format Result Cite Review PDF
Eguchi, Yuzuru Practical techniques for a three-dimensional FEM analysis of incompressible fluid flow contained with slip walls and a downstream tube bundle. (English) Zbl 0996.76046 Int. J. Numer. Methods Fluids 37, No. 3, 279-295 (2001). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve; West, Matthew Variational methods, multisymplectic geometry and continuum mechanics. (English) Zbl 1007.74018 J. Geom. Phys. 38, No. 3-4, 253-284 (2001). MSC: 74A99 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hill, J. M. Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials. (English) Zbl 1008.74012 Fu, Y. B. (ed.) et al., Nonlinear elasticity: Theory and applications. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 283, 160-200 (2001). Reviewer: Hans Bufler (Gräfelfing) MSC: 74B20 74G05 74-02 × Cite Format Result Cite Review PDF
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
Nicolleau, F.; Vassilicos, J. C. Turbulent diffusion in stably stratified non-decaying turbulence. (English) Zbl 0987.76038 J. Fluid Mech. 410, 123-146 (2000). MSC: 76F45 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, P.; Joseph, D. D.; Hesla, T. I.; Glowinski, R.; Pan, T.-W. A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows. (English) Zbl 0972.76080 J. Non-Newtonian Fluid Mech. 91, No. 2-3, 165-188 (2000). MSC: 76M25 76A10 76T20 × Cite Format Result Cite Review PDF Full Text: DOI
Codina, Ramon; Soto, Orlando Finite element simulation of the filling of thin moulds. (English) Zbl 0983.76050 Int. J. Numer. Methods Eng. 46, No. 9, 1559-1573 (1999). MSC: 76M10 76D27 80A20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ibrahimbegovic, Adnan; Gharzeddine, Fadi Finite deformation plasticity in principal axes: From a manifold to the Euclidean setting. (English) Zbl 0938.74017 Comput. Methods Appl. Mech. Eng. 171, No. 3-4, 341-369 (1999). MSC: 74C15 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Brünig, Michael Formulation and numerical treatment of incompressibility constraints in large strain elastic-plastic analysis. (English) Zbl 0949.74066 Int. J. Numer. Methods Eng. 45, No. 8, 1047-1068 (1999). MSC: 74S05 74C15 × Cite Format Result Cite Review PDF Full Text: DOI
Colella, Phillip; Trebotich, David P. Numerical simulation of incompressible viscous flow in deforming domains. (English) Zbl 0938.76063 Proc. Natl. Acad. Sci. USA 96, No. 10, 5378-5381 (1999). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Levenston, M. E.; Frank, E. H.; Grodzinsky, A. J. Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues. (English) Zbl 0963.74064 Comput. Methods Appl. Mech. Eng. 156, No. 1-4, 231-246 (1998). MSC: 74S05 74L15 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Kupferman, Raz Simulation of viscoelastic fluids: Couette-Taylor flow. (English) Zbl 0935.76058 J. Comput. Phys. 147, No. 1, 22-59 (1998). MSC: 76M20 76A10 76E07 76U05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Silvester, D. J.; Wathen, A. J. Fast and robust solvers for time-discretised incompressible Navier-Stokes equations. (English) Zbl 0851.76042 Griffiths, D. F. (ed.) et al., Numerical analysis 1995. Proceedings of the 16th Dundee conference on numerical analysis, University of Dundee, UK, June 27-30, 1995. Harlow: Longman. Pitman Res. Notes Math. Ser. 344, 154-168 (1996). Reviewer: Th.Sonar (Hamburg) MSC: 76M10 76D05 × Cite Format Result Cite Review PDF
Weissman, Shmuel L. High-accuracy low-order three-dimensional brick elements. (English) Zbl 0884.73074 Int. J. Numer. Methods Eng. 39, No. 14, 2337-2361 (1996). MSC: 74S05 74S30 74P10 74K99 × Cite Format Result Cite Review PDF Full Text: DOI
Dvorkin, E. N.; Cavaliere, M. A.; Goldschmit, M. B. A three field element via augmented Lagrangian for modelling bulk metal forming processes. (English) Zbl 0840.73060 Comput. Mech. 17, No. 1-2, 2-9 (1995). MSC: 74S05 74C15 74C20 × Cite Format Result Cite Review PDF Full Text: DOI
de Souza Neto, E. A.; Perić, Djordje; Owen, D. R. J. Finite elasticity in spatial description: Linearization aspects with 3-D membrane applications. (English) Zbl 0834.73023 Int. J. Numer. Methods Eng. 38, No. 20, 3365-3381 (1995). MSC: 74B20 74K20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Hueck, Ulrich; Schreyer, Howard L.; Wriggers, Peter On the incompressible constraint of the 4-node quadrilateral element. (English) Zbl 0854.73066 Int. J. Numer. Methods Eng. 38, No. 18, 3039-3053 (1995). Reviewer: Cz.I.Bajer (Warszawa) MSC: 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Müller, S.; Prohl, A.; Rannacher, R.; Turek, S. Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. (English) Zbl 0882.76056 Hackbusch, Wolfgang (ed.) et al., Fast solvers for flow problems. Proceedings of the tenth GAMM-Seminar Kiel, Germany, January 14–16, 1994. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 49, 175-191 (1995). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF
Eve, R. A.; Reddy, B. D. The variational formulation and solution of problems of finite-strain elastoplasticity based on the use of a dissipation function. (English) Zbl 0805.73079 Int. J. Numer. Methods Eng. 37, No. 10, 1673-1695 (1994). MSC: 74S30 74P10 74S05 74C15 74C20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, C. H.; Hofstetter, G.; Mang, H. A. Efficient \(3D\) finite element analysis of rubber-like materials. (English) Zbl 0817.73063 Z. Angew. Math. Mech. 73, No. 7-8, T906-T908 (1993). MSC: 74S05 74B20 × Cite Format Result Cite Review PDF
Rannacher, Rolf Numerical analysis of the Navier-Stokes equations. (English) Zbl 0798.76041 Appl. Math., Praha 38, No. 4-5, 361-380 (1993). Reviewer: G.Warnecke (Stuttgart) MSC: 76M10 76D05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Strikwerda, John C.; Scarbnick, Carl D. A domain decomposition method for incompressible viscous flow. (English) Zbl 0769.76055 SIAM J. Sci. Comput. 14, No. 1, 49-67 (1993). MSC: 76M25 76D07 65N55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Phillips, Timothy N.; Roberts, Gareth W. The treatment of spurious pressure modes in spectral incompressible flow calculations. (English) Zbl 0766.76059 J. Comput. Phys. 105, No. 1, 150-164 (1993). MSC: 76M20 76D05 76A05 × Cite Format Result Cite Review PDF Full Text: DOI
Rogerson, G. A.; Scott, N. H. Wave propagation in singly-constrained and nearly-constrained elastic materials. (English) Zbl 0760.73013 Q. J. Mech. Appl. Math. 45, No. 1, 77-99 (1992). Reviewer: D.Stanomir (Bucureşti) MSC: 74J10 74E30 × 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
Jiang, C. B.; Kawahara, M.; Kashiyama, K. A finite element method based on the characteristic line for incompressible flows. (English) Zbl 0783.76052 Bull. Fac. Sci. Eng., Chuo Univ., Ser. I 34, 73-88 (1991). MSC: 76M10 76F10 × Cite Format Result Cite Review PDF
Simmonds, J. G.; Horn, M. A. Asymptotic analysis of the nonlinear equations for an infinite, rubber- like slab under an equilibrated vertical line load. (English) Zbl 0732.73029 J. Elasticity 24, No. 1-3, 105-127 (1990). MSC: 74B20 74K20 74G70 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Podio-Guidugli, P.; Vianello, M. Constraint manifolds for isotropic solids. (English) Zbl 0678.73004 Arch. Ration. Mech. Anal. 105, No. 2, 105-121 (1989). Reviewer: T.Nôno MSC: 74A99 58Z05 74A20 74E15 58H99 53C80 × Cite Format Result Cite Review PDF Full Text: DOI
Amendola, Giovambattista Spherical waves in incompressible thermoelastic solids. (English) Zbl 0673.73009 Boll. Unione Mat. Ital., VII Ser., A 3, No. 1, 95-101 (1989). MSC: 74F05 74J20 × Cite Format Result Cite Review PDF
Yang, D. Y.; Lee, C. M.; Yoon, J. H. Finite element analysis of steady-state three-dimensional extrusion of sections through curved dies. (English) Zbl 0672.73064 Int. J. Mech. Sci. 31, No. 2, 145-156 (1989). MSC: 74S05 74C15 74C20 × Cite Format Result Cite Review PDF Full Text: DOI
Gunzburger, Max D.; Peterson, Janet S. Finite-element methods for the streamfunction-vorticity equations: Boundary-condition treatments and multiply connected domains. (English) Zbl 0652.76020 SIAM J. Sci. Stat. Comput. 9, No. 4, 650-668 (1988). MSC: 76D05 65N30 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Silling, S. A. Incompressibility in dynamic relaxation. (English) Zbl 0618.73098 J. Appl. Mech. 54, 539-544 (1987). MSC: 74S30 74B20 65K10 74-04 × Cite Format Result Cite Review PDF Full Text: DOI
Calderer, M. C. Bifurcation problems in constrained nonlinear thermoelasticity. (English) Zbl 0617.73006 Metastability and incompletely posed problems, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 3, 43-60 (1987). Reviewer: H.Troger MSC: 74F05 74B20 74A15 74G99 74H99 × Cite Format Result Cite Review PDF
Pinsky, Peter M. A finite element formulation for elastoplasticity based on a three-field variational equation. (English) Zbl 0591.73082 Comput. Methods Appl. Mech. Eng. 61, 41-60 (1987). MSC: 74S05 74S30 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshida, Yutaka; Nomura, Takashi A numerical method for finite element transient analysis of incompressible Navier-Stokes equations. (English) Zbl 0614.76025 Theor. Appl. Mech. 34, 29-42 (1986). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF
Quartapelle, L.; Napolitano, M. Integral conditions for the pressure in the computation of incompressible viscous flows. (English) Zbl 0604.76021 J. Comput. Phys. 62, 340-348 (1986). MSC: 76D05 76M99 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Debbaut, B.; Crochet, M. J. Further results on the flow of a viscoelastic fluid through an abrupt contraction. (English) Zbl 0591.76008 J. Non-Newtonian Fluid Mech. 20, 173-185 (1986). MSC: 76A10 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Scott, L. R.; Vogelius, M. Conforming finite element methods for incompressible and nearly incompressible continua. (English) Zbl 0582.76028 Large-scale computations in fluid mechanics, Proc. 15th AMS-SIAM Summer Semin. Appl. Math., La Jolla/Calif. 1983, Lect. Appl. Math. 22, Pt. 2, 221-244 (1985). MSC: 76D05 65N30 76M99 × Cite Format Result Cite Review PDF
Kheshgi, Haroon S.; Scriven, L. E. Variable penalty method for finite element analysis of incompressible flow. (English) Zbl 0581.76117 Int. J. Numer. Methods Fluids 5, 785-803 (1985). MSC: 76U05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Malkus, D. S. Incompressible finite elements: The LBB condition and the discrete eigenstructure. (English) Zbl 0472.73088 Nonlinear finite element analysis in structural mechanics, Proc. Europe- U.S. Workshop, Bochum 1980, 696-711 (1981). MSC: 74S05 49M29 49S05 49M30 × Cite Format Result Cite Review PDF
Bercovier, M. Approximation of Bingham’s variational inequalities by a penalty function for the incompressibility constraint. (English) Zbl 0453.76028 Numer. Funct. Anal. Optimization 2, 361-373 (1980). MSC: 76D05 65N30 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Reddy, J. N. On the mathematical theory of penalty-finite elements for Navier-Stokes equations. (English) Zbl 0447.76027 Proc. 3rd int. Conf. Finite elements in flow problems, Banff/ Alberta 1980, Vol. II, 146-154 (1980). MSC: 76D05 65N30 × Cite Format Result Cite Review PDF