Discontinuous Galerkin method for the diffusive-viscous wave equation

DOI10.1016/j.apnum.2022.08.014zbMath1500.65077OpenAlexW4292939725MaRDI QIDQ2085683

Min Zhang, Haixia Zhao, Feifei Jing, Wen-Jing Yan

Publication date: 18 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.08.014

zbMATH Keywords

error estimatesdiscontinuous Galerkin methodvariable coefficientsdiffusive-viscous wave equation

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) 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) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)

Related Items (2)

A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes ⋮ Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation

Cites Work

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• Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
• Mathematical aspects of discontinuous Galerkin methods.
• Well-posedness of the diffusive-viscous wave equation arising in geophysics
• A coupling of mixed and discontinuous Galerkin finite element methods for poroelasticity
• Discontinuous Galerkin methods for a stationary Navier-Stokes problem with a nonlinear slip boundary condition of friction type
• Optimal order error estimates for discontinuous Galerkin methods for the wave equation
• A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems
• Fourth order wave equation with nonlinear strain and logarithmic nonlinearity
• Numerical analysis of the diffusive-viscous wave equation
• Hybrid high-order methods for variable-diffusion problems on general meshes
• Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• $hp$-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Local Discontinuous Galerkin Methods for the Stokes System
• hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
• Discontinuous Galerkin Finite Element Method for the Wave Equation
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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