Galerkin alternating-direction methods for a kind of nonlinear hyperbolic equations on nonrectangular regions
type: Item
instance of: scholarly article
title: Galerkin alternating-direction methods for a kind of nonlinear hyperbolic equations on nonrectangular regions
zbMATH Open document ID: 1119.65091
published in: Applied Mathematics and Computation
publication date: 2007-06-12T00:00:00Z
review text: The aim of this paper is to give a Galerkin alternating-direction method for a kind of nonlinear hyperbolic equations on curved regions using the patch approximation and an approximation to the Jacobian of the isoparametric map. An \(L^2\)-norm error estimate is derived.
reviewed by: Nicolae Pop
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 5163786
zbMATH Keywords: nonlinear hyperbolic equations
zbMATH Keywords: isoparametric map
zbMATH Keywords: patch approximation
zbMATH Keywords: nonrectangular region
zbMATH Keywords: Galerkin alternating-direction method
zbMATH Keywords: error estimate
author: Xiang Lai
author: Yirang Yuan
MaRDI profile type: Publication
full work available at URL: j.amc.2006.09.018
OpenAlex ID: W2034839322
cites work: Q5649968
cites work: Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons
cites work: An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables
cites work: Alternating direction along flow lines in a fluid flow problem
cites work: Alternating Direction Multistep Methods for Parabolic Problems–Iterative Stabilization
cites work: Q4950915
cites work: Galerkin Alternating-Direction Methods for Nonrectangular Regions Using Patch Approximations
cites work: A Modified Backward Time Discretization for Nonlinear Parabolic Equations Using Patch Approximations
cites work: Implementation of finite element alternating‐direction methods on nonrectangular regions
cites work: Interpolation theory over curved elements, with applications to finite element methods
cites work: Q5678400
cites work: Q3740983
DOI: 10.1016/J.AMC.2006.09.018
description: scientific article; zbMATH DE number 5163786