Convergence analysis of some high-order time accurate schemes for a finite volume method for second order hyperbolic equations on general nonconforming multidimensional spatial meshes

DOI10.1002/num.21755zbMath1280.65092OpenAlexW1990508873MaRDI QIDQ2846183

Abdallah Bradji

Publication date: 5 September 2013

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

Full work available at URL: https://doi.org/10.1002/num.21755

zbMATH Keywords

wave equationinitial-boundary value problemerror boundsfinite volume schemefully discretization schememultidimensional spatial domainnonconforming gridconvergence of the discrete gradientNewark's methodsecond- and fourth-order time discretization

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

A finite volume scheme for a wave equation with several time independent delays ⋮ Convergence analysis of some first order and second order time accurate gradient schemes for semilinear second order hyperbolic equations ⋮ Note on the Convergence of a Finite Volume Scheme for a Second Order Hyperbolic Equation with a Time Delay in Any Space Dimension ⋮ A theoretical analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the one dimensional wave equation ⋮ Unnamed Item ⋮ A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes ⋮ A Theoretical Analysis for a New Finite Volume Scheme for a Linear Schrödinger Evolution Equation on General Nonconforming Spatial Meshes

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