Finite element methods for nonlinear shell analysis
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Finite element methods for nonlinear shell analysis are analyzed using both the minimum potential energy and the mixed formulations. Existence and local uniqueness of both the exact solutions and the corresponding finite element solutions are proved. Error bounds, which are of the same order as for the corresponding linear problems, are established.
- University of Virginia United States
- DigiZeitschriften Germany
mixed formulations, Finite element methods applied to problems in solid mechanics, Error bounds for boundary value problems involving PDEs, Nonlinear elasticity, existence, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, exact solutions, Article, Shells, 510.mathematics, local uniqueness, Variational principles of physics, minimum potential energy
mixed formulations, Finite element methods applied to problems in solid mechanics, Error bounds for boundary value problems involving PDEs, Nonlinear elasticity, existence, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, exact solutions, Article, Shells, 510.mathematics, local uniqueness, Variational principles of physics, minimum potential energy
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