Explicit finite element methods for scalar hyperbolic equations
type: Item
instance of: scholarly article
title: Explicit finite element methods for scalar hyperbolic equations
zbMATH Open document ID: 0778.65071
DOI: 10.1016/0168-9274(91)90041-W
author: Gerard R. Richter
published in: Applied Numerical Mathematics
publication date: 1994-01-05T00:00:00Z
review text: A class of finite elements for scalar hyperbolic equations in which the approximate solution is developed `explicitly', one element at time, is described. Numerical results are presented for a discontinuous Galerkin method and several methods which yield a continuous approximation. A close relationship between these two types of methods is established.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 431077
zbMATH Keywords: finite elements
zbMATH Keywords: scalar hyperbolic equations
zbMATH Keywords: numerical results
zbMATH Keywords: discontinuous Galerkin method
reviewed by: Violeta A. Kostova
MaRDI profile type: Publication
cites work: Analysis of a Continuous Finite Element Method for Hyperbolic Equations
cites work: Q3857926
cites work: Finite element methods for linear hyperbolic problems
cites work: An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
cites work: Q4109239
cites work: An Optimal-Order Error Estimate for the Discontinuous Galerkin Method
cites work: A Finite Element Method for Time-Dependent Convection-Diffusion Equations
cites work: An Explicit Finite Element Method for Convection-Dominated Steady State Convection-Diffusion Equations
cites work: A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems
full work available at URL: 0168-9274(91)90041-w
OpenAlex ID: W2085463734
description: scientific article; zbMATH DE number 431077