Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics

DOI10.1137/070685166zbMath1260.74030OpenAlexW2067240365MaRDI QIDQ3642888

Andreas Prohl

Publication date: 6 November 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/77464eaabd2f3ceca831fb021384ba9c278911e5

zbMATH Keywords

convergence analysisfinite element methodelastodynamics

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with relativity and gravitational theory (35Q75) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces ⋮ Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions ⋮ Two-phase solutions for one-dimensional non-convex elastodynamics ⋮ Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics ⋮ Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions ⋮ Newton's second law with a semiconvex potential

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