An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two- and three-dimensions.
type: Item
instance of: scholarly article
title: An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two- and three-dimensions.
zbMATH Open document ID: 1037.65091
DOI: 10.1016/S0021-9991(03)00192-X
author: Tao Tang
author: Pingwen Zhang
author: Huazhong Tang
published in: Journal of Computational Physics
publication date: 2003-07-30T00:00:00Z
review text: This work is devoted to an adaptive mesh redistribution (AMR) method towards solving the nonlinear Hamilton-Jacobi equations. The approach is based on a non-conservative second-order interpolation on the updated adaptive grids and a class of monitor functions. The adaptive mesh methods transform a uniform mesh in the logical domain to cluster grid points at the regions of the physical domain where the solution or its derivative is singular or nearly singular. The formal second-order rate of convergence is preserved for the proposed AMR methods. Extensive numerical experiments are presented.
reviewed by: Marek Brandner
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1957093
zbMATH Keywords: moving adaptive grid method
zbMATH Keywords: Hamilton-Jacobi equations
zbMATH Keywords: level set equations
zbMATH Keywords: finite difference method
zbMATH Keywords: convergence
zbMATH Keywords: nuemrical experiments
MaRDI profile type: Publication
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full work available at URL: s0021-9991(03)00192-x
OpenAlex ID: W1967289650
description: scientific article; zbMATH DE number 1957093