A new mimetic scheme for the acoustic wave equation

DOI10.1016/j.cam.2015.09.037zbMath1329.76242OpenAlexW1763165754MaRDI QIDQ891272

N. E. Zubov

Publication date: 16 November 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.037

zbMATH Keywords

convergencefinite differencesstaggered gridmimeticacoustic

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05)

Related Items (5)

A high accuracy local one-dimensional explicit compact scheme for the 2D acoustic wave equation ⋮ High-order compact difference schemes based on the local one-dimensional method for high-dimensional nonlinear wave equations ⋮ High order mimetic differences applied to the convection-diffusion equation: a matrix stability analysis ⋮ Mimetic finite differences for boundaries misaligned with grid nodes ⋮ A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems

Cites Work

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• Mimetic discretizations for Maxwell's equations
• Linear systems arising for second order mimetic divergence and gradient discretizations
• Convergence of a mimetic finite difference method for static diffusion equation
• The mimetic finite difference method for elliptic problems
• Conservative Finite-Difference Methods on General Grids

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