Numerical Study of an Anisotropic Error Estimator in the $L^2(H^1)$ Norm for the Finite Element Discretization of the Wave Equation

DOI10.1137/090778249zbMath1216.65116OpenAlexW2050781951MaRDI QIDQ2998030

Publication date: 17 May 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090778249

zbMATH Keywords

numerical results wave equation a posteriori error estimate damped wave equation elliptic reconstruction hyperbolic problem anisotropic adaptive finite elements unstructured, nonadapted, anisotropic meshes

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Wave equation (35L05) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (7)

Anisotropic adaptive finite elements for an elliptic problem with strongly varying diffusion coefficient ⋮ An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients ⋮ Asymptotically Constant-Free and Polynomial-Degree-Robust a Posteriori Estimates for Space Discretizations of the Wave Equation ⋮ A priori and posteriori error analysis for time-dependent Maxwell's equations ⋮ A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes ⋮ An adaptive algorithm for the time dependent transport equation with anisotropic finite elements and the Crank-Nicolson scheme ⋮ An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing

Uses Software

BL2D-V2

This page was built for publication: Numerical Study of an Anisotropic Error Estimator in the $L^2(H^1)$ Norm for the Finite Element Discretization of the Wave Equation