A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain. I.

DOI10.1016/j.cam.2009.03.013zbMath1166.74032OpenAlexW4206706805MaRDI QIDQ2389577

Luc Paquet, L. Boulaajine, Mohamed Farhloul

Publication date: 17 July 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.03.013

zbMATH Keywords

Sobolev spacesLagrange multiplierNewmark scheme

Mathematics Subject Classification ID

Classical linear elasticity (74B05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II ⋮ Mixed virtual element methods for elastodynamics with weak symmetry ⋮ On the enriched mixed Galerkin method with \(\theta\) scheme for the elastic wave equation ⋮ Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems ⋮ Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation ⋮ Energy-preserving mixed finite element methods for the elastic wave equation

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