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Abstract: This paper deals with an expanded mixed nite element formulation, based on the HuWashizu principle, for a nonlinear incompressible material in the plane. We follow our related previous works and introduce both the stress and the strain tensors as further unknowns, which yields a two-fold saddle point operator equation as the corresponding variational formulation. A slight generalization of the classical Babu^ska-Brezzi's theory is applied to prove unique solvability of the continuous and... (Update)
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BibTeX entry: (Update)
@misc{ gatica-mixedfem,
author = "Gabriel Gatica and Ernst P. Stephan",
title = "A mixed-FEM formulation for nonlinear incompressible elasticity in the
plane",
url = "citeseer.ist.psu.edu/405622.html" }
Citations (may not include all citations):401 Mixed and Hybrid Finite Element Methods (context) - Brezzi, Fortin - 1991
88 Some a posteriori error estimators for elliptic partial di e.. - Bank, Weiser - 1985
47 Finite Element Procedures (context) - Bathe - 1996
40 and Applications in Solid Mechanics (context) - Braess, Elements et al. - 1997
38 Mixed and Hybrid Methods (context) - Roberts, Thomas - 1991
8 A unied approach to a posteriori error estimation using elem.. (context) - Ainsworth, Oden - 1993
5 Coupling of nite and boundary element methods for an elastop.. (context) - Costabel, Stephan - 1990
4 A family of higher order mixed nite element methods for plan.. (context) - Arnold, Douglas et al. - 1984
4 Solvability and Galerkin approximations of a class of nonlin.. - Gatica - 1999
4 A dual-dual mixed formulation for nonlinear exterior transmi.. (context) - Gatica, Meddahi - 1999
4 A dual-dual formulation for the coupling of mixedFEM and BEM.. (context) - Gatica, Heuer - 2000
3 Minimum residual iteration for a dual-dual mixed formulation.. (context) - Gatica, Heuer - 1999
3 A mixed nite element method for nonlinear elasticity: two-fo.. (context) - Barrientos, Gatica et al. - 1999
3 posteriori error control in low-order - nite element discret.. (context) - Carstensen, Funken
3 Implicit residual error estimators for the coupling of nite .. (context) - Brink, Stephan - 1999
2 A posteriori error estimation in large-strain elasticity usi.. (context) - Brink, Stein - 1998
2 Expanded mixed nite element methods for linear second-order .. (context) - Chen - 1998
2 An implicit-explicit residual error estimator for the coupli.. (context) - Gatica, Heuer et al. - 2000
2 Adaptive coupling of boundary elements and mixed nite elemen.. (context) - Brink, Stephan
2 Expanded mixed nite element methods for quasilinear second-o.. (context) - Chen - 1998
2 PEERS: A new mixed nite element method for plane elasticity (context) - Arnold, Brezzi et al. - 1984
2 A boundary-eld equation method for a nonlinear exterior elas.. (context) - Araya, Gatica et al. - 1996
2 Coupling of nite elements and boundary elements for some non.. (context) - Stephan - 1992
2 Solvability and fully discrete Galerkin schemes of nonlinear.. - Gatica, Heuer et al. - 2000
1 posteriori error estimate for a linear-nonlinear transmissio.. - Barrientos, Gatica et al. - 2000
1 ska-Brezzi's theory to a class of variational problems (context) - Gatica, of - 2000
1 Coupling of mixed nite elements and boundary elements for a .. (context) - Gatica, Wendland - 1997
1 An expanded mixed nite element method via a dual-dual formul.. (context) - Gatica, Heuer - 1999
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