Numerical analysis of the diffusive-viscous wave equation

DOI10.1016/j.camwa.2021.10.003OpenAlexW3206518711MaRDI QIDQ2239101

Chenghang Song, Fei Wang, Weimin Han, Jing-Huai Gao

Publication date: 2 November 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.10.003

zbMATH Keywords

error estimatesfinite elementsfinite differencediffusive-viscous wave equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

A cell-centered finite volume scheme for the diffusive-viscous wave equation on general polygonal meshes, A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes, Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics, Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation, Discontinuous Galerkin method for the diffusive-viscous wave equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
• A discontinuous Galerkin method for the wave equation
• A priori estimates for mixed finite element methods for the wave equation
• Well-posedness of the diffusive-viscous wave equation arising in geophysics
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• Optimal order error estimates for discontinuous Galerkin methods for the wave equation
• Plasticity. Mathematical theory and numerical analysis.
• On a family of discontinuous Galerkin fully-discrete schemes for the wave equation
• A mixed discontinuous Galerkin method for the wave equation
• A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids
• An explicit hybridizable discontinuous Galerkin method for the acoustic wave equation
• Theoretical Numerical Analysis
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems
• The Mathematical Theory of Finite Element Methods
• Discontinuous Galerkin Finite Element Method for the Wave Equation
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation