Splitting positive definite mixed element methods for pseudo-hyperbolic equations

DOI10.1002/num.20650zbMath1245.65129OpenAlexW2072601286MaRDI QIDQ2885167

Siriguleng He, Hong Li, Yang Liu, Jin-Feng Wang

Publication date: 21 May 2012

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

Full work available at URL: https://doi.org/10.1002/num.20650

zbMATH Keywords

error estimatessemidiscretefully discretesecond order pseudo-hyperbolic equationssplitting positive definite mixed finite element method

Mathematics Subject Classification ID

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Pseudohyperbolic equations (35L82)

Related Items (11)

A priori error estimates and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems ⋮ Superconvergence of semidiscrete splitting positive definite mixed finite elements for hyperbolic optimal control problems ⋮ Superconvergence of splitting positive definite mixed finite element for parabolic optimal control problems ⋮ Expanded mixed finite element method for second order hyperbolic equations ⋮ Superconvergence analysis of splitting positive definite nonconforming mixed finite element method for pseudo-hyperbolic equations ⋮ Asymptotic Expansions and Extrapolations ofH¹-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation ⋮ A new positive definite expanded mixed finite element method for parabolic integrodifferential equations ⋮ Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation ⋮ A splitting mixed covolume method for viscoelastic wave equations on triangular grids ⋮ A splitting positive definite mixed finite element method for two classes of integro-differential equations ⋮ A splitting positive definite mixed finite element method for elliptic optimal control problem

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