High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with nonlinear boundary conditions

DOI10.1007/S11424-011-8315-XzbMath1409.74046OpenAlexW2119329679MaRDI QIDQ1937780

Buying Zhang, Dong-Yang Shi

Publication date: 31 January 2013

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-011-8315-x

zbMATH Keywords

superconvergencecontinuous Galerkin approximationpostprocessing operator

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Nonlinear waves in solid mechanics (74J30) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (2)

Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model ⋮ A splitting mixed covolume method for viscoelastic wave equations on triangular grids

Cites Work

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• Superconvergence analysis of a nonconforming triangular element on anisotropic meshes
• Superconvergence in the Pressure in the Simulation of Miscible Displacement
• Galerkin Methods for Nonlinear Parabolic Integrodifferential Equations with Nonlinear Boundary Conditions
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory

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