A cell-centered finite volume scheme for the diffusive-viscous wave equation on general polygonal meshes

DOI10.1016/J.AML.2022.108274zbMath1495.74071OpenAlexW4283212489WikidataQ113880571 ScholiaQ113880571MaRDI QIDQ2161467

Yanyan Li

Publication date: 4 August 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108274

zbMATH Keywords

finite volume methodconvergence ratedistorted meshdiffusive-viscous wave equationgeological explorationfluid-saturated porous soil

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Geophysical solid mechanics (74L05) Geological problems (86A60) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (1)

Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive-viscous wave equation in unbounded domains

Cites Work

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• A nine-point scheme with explicit weights for diffusion equations on distorted meshes
• Well-posedness of the diffusive-viscous wave equation arising in geophysics
• Numerical analysis of the diffusive-viscous wave equation
• A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
• ON VERTEX RECONSTRUCTIONS FOR CELL-CENTERED FINITE VOLUME APPROXIMATIONS OF 2D ANISOTROPIC DIFFUSION PROBLEMS

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