High-order schemes for Hamilton--Jacobi equations on triangular meshes
type: Item
instance of: scholarly article
title: High-order schemes for Hamilton--Jacobi equations on triangular meshes
zbMATH Open document ID: 1058.65091
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: This paper concerns two weighted essentially nonoscillaotory (ENO) schemes on triangular meshes for Hamilton-Jacobi equations. Roughly speaking, weighted ENO schemes are central schemes in regions where the solution is smooth but emulate ENO schemes near the discontinuities of the solution. This is achieved by weighting the ENO substencils with weights adapted to the relative smoothness of the solution on these substencils. The two schemes with high-order accuracy, presented in this work, use the same set of triangular ENO stencils. One scheme uses a set of weights to recover the gradient of solution and has the same accuracy as ENO scheme. The other one uses different sets of weights to recover partial derivatives of solution and has high-order accuracy. Numerical examples are given.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 2091379
zbMATH Keywords: Hamilton-Jacobi equation
zbMATH Keywords: high-order accuracy
zbMATH Keywords: ENO
zbMATH Keywords: unstructured mesh
zbMATH Keywords: discontinuous solution
zbMATH Keywords: weighted essentially nonoscillaotory schemes
zbMATH Keywords: numerical examples
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
full work available at URL: j.cam.2003.09.051
OpenAlex ID: W2034842251
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DOI: 10.1016/J.CAM.2003.09.051
description: scientific article; zbMATH DE number 2091379