Finite elements with mesh refinement for wave equations in polygons
type: Item
instance of: scholarly article
title: Finite elements with mesh refinement for wave equations in polygons
zbMATH Open document ID: 1311.65126
author: Fabian L. Müller
author: Christoph Schwab
published in: Journal of Computational and Applied Mathematics
publication date: 2015-03-24T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 6419099
zbMATH Keywords: high-order finite elements
zbMATH Keywords: wave equation
zbMATH Keywords: regularity
zbMATH Keywords: method of lines
zbMATH Keywords: local mesh refinement
zbMATH Keywords: newest vertex bisection
zbMATH Keywords: error estimate
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: j.cam.2015.01.002
OpenAlex ID: W2011391205
cites work: Q5544635
cites work: The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I
cites work: Q3560019
cites work: Q4155781
cites work: Finite element method for domains with corners
cites work: Direct and inverse error estimates for finite elements with mesh refinements
cites work: Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps
cites work: Convergence rates for adaptive finite elements
cites work: Q3842463
cites work: Diffraction on a cone: the asymptotic of solutions near the vertex
cites work: Q4948106
cites work: Q3760934
cites work: Q5607484
cites work: Elliptic problems in domains with piecewise smooth boundaries
cites work: Q5683194
cites work: Q4220650
cites work: p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
cites work: Local mesh refinement in 2 and 3 dimensions
cites work: Theory of adaptive finite element methods: An introduction
cites work: Approximation classes for adaptive higher order finite element approximation
cites work: Q5186672
cites work: The Mathematical Theory of Finite Element Methods
DOI: 10.1016/J.CAM.2015.01.002
Recommended article: Finite elements with mesh refinement for elastic wave propagation in polygons
Recommended article: Boundary elements with mesh refinements for the wave equation
Recommended article: Polygonal finite elements for finite elasticity
Recommended article: Refined mixed finite element method for the elasticity problem in a polygonal domain
Recommended article: PREFACE
Recommended article: Virtual element methods for weakly damped wave equations on polygonal meshes
Recommended article: Q4364834
Recommended article: Finite Element Method with Patches for Poisson problems in polygonal domains
Recommended article: Conforming polygonal finite elements
Recommended article: Refined mixed finite element method for the Boussinesq equations in polygonal domains
description: scientific article; zbMATH DE number 6419099