Local discontinuous Galerkin methods for diffusive-viscous wave equations

DOI10.1016/J.CAM.2022.114690zbMath1502.65131OpenAlexW4291221771MaRDI QIDQ2088836

Dan Ling, Chi-Wang Shu, Wen-Jing Yan

Publication date: 6 October 2022

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.2022.114690

zbMATH Keywords

optimal error estimatesvariable coefficientslocal discontinuous Galerkin methoddiffusive-viscous wave equations

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Seismology (including tsunami modeling), earthquakes (86A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Computational methods for problems pertaining to geophysics (86-08) PDEs in connection with geophysics (35Q86)

Related Items (5)

A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes ⋮ Application of the local discontinuous Galerkin method to the solution of the quasi-gas dynamic equation system;Применение локального разрывного метода Галеркина к решению квазигазодинамической системы уравнений ⋮ Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics ⋮ Fast Computing Approaches Based on a Bilinear Pseudo-Spectral Method for Nonlinear Acoustic Wave Equations ⋮ Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation

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