A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes

DOI10.1002/num.21697zbMath1258.65080OpenAlexW2046986917WikidataQ112879007 ScholiaQ112879007MaRDI QIDQ4903207

Abdallah Bradji

Publication date: 21 January 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.21697

zbMATH Keywords

wave equationimplicit schemediscrete gradientfully discretization schemesecond order hyperbolic equationsmultidimensional spatial domainnonconforming grid

Mathematics Subject Classification ID

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 ⋮ A new numerical approximation method for two-dimensional wave equation with Neumann damped boundary ⋮ 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 ⋮ 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 ⋮ A Theoretical Analysis for a New Finite Volume Scheme for a Linear Schrödinger Evolution Equation on General Nonconforming Spatial Meshes

Cites Work

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• A non-uniform basis order for the discontinuous Galerkin method of the acoustic and elastic wave equations
• Two-time level ADI finite volume method for a class of second-order hyperbolic problems
• Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system
• Numerical approximation of elastic waves equations by implicit spectral methods
• Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
• Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods
• 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
• Boundary conforming Delaunay mesh generation
• Numerical Study of an Anisotropic Error Estimator in the $L^2(H^1)$ Norm for the Finite Element Discretization of the Wave Equation
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain
• Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions
• TIME AND SPACE ADAPTIVITY FOR THE SECOND-ORDER WAVE EQUATION
• A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

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