Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

DOI10.1090/mcom/3605zbMath1489.65148OpenAlexW3093900823MaRDI QIDQ4992230

Zheng Sun, Yulong Xing

Publication date: 7 June 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3605

zbMATH Keywords

wave equationsoptimal error estimatesdiscontinuous Galerkin methodsnumerical fluxesglobal projections

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (5)

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise ⋮ Finite element approximations of a class of nonlinear stochastic wave equations with multiplicative noise ⋮ Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation ⋮ Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise ⋮ On generalized Gauss-Radau projections and optimal error estimates of upwind-biased DG methods for the linear advection equation on special simplex meshes

Uses Software

• Netgen

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