A space‐time continuous Galerkin method with mesh modification for viscoelastic wave equations

DOI10.1002/num.22138zbMath1373.65074OpenAlexW2600449728MaRDI QIDQ5349269

Zhihui Zhao, Hong Li, Zhen-Dong Luo

Publication date: 24 August 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22138

zbMATH Keywords

stabilityconvergencenumerical exampleoptimal order error estimatesviscoelastic wave equationsmesh modificationspace-time continuous Galerkin method

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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 (5)

Efficient space-time Jacobi rational spectral methods for second order time-dependent problems on unbounded domains ⋮ Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation ⋮ The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients ⋮ Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation ⋮ Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow

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