Galerkin alternating-direction methods for a kind of nonlinear hyperbolic equations on nonrectangular regions

DOI10.1016/j.amc.2006.09.018zbMath1119.65091OpenAlexW2034839322MaRDI QIDQ883920

Xiang Lai, Yi-Rang Yuan

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.018

zbMATH Keywords

error estimatenonlinear hyperbolic equationsGalerkin alternating-direction methodisoparametric mapnonrectangular regionpatch approximation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) 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)

Cites Work

• Alternating direction along flow lines in a fluid flow problem
• Interpolation theory over curved elements, with applications to finite element methods
• Implementation of finite element alternating‐direction methods on nonrectangular regions
• Galerkin Alternating-Direction Methods for Nonrectangular Regions Using Patch Approximations
• A Modified Backward Time Discretization for Nonlinear Parabolic Equations Using Patch Approximations
• An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables
• Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons
• Alternating Direction Multistep Methods for Parabolic Problems–Iterative Stabilization
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