On the numerical solution of conservation laws by minimizing residuals
type: Item
instance of: scholarly article
title: On the numerical solution of conservation laws by minimizing residuals
zbMATH Open document ID: 0809.76077
published in: Journal of Computational Physics
publication date: 1994-10-17T00:00:00Z
full work available at URL: http://hdl.handle.net/2027.42/31406
review text: We analyze a method that numerically solves the 2D advection equation with discontinuous data. The method is able to resolve the discontinuity over one mesh cell, without generating spurious oscillations. However, we have found that incorrect solutions are generated for some data. This had led us to formulate and prove two theorems concerning these results. We also provide an analysis of the solution procedure, along with suggestions for developing future schemes that are more applicable to a wide range of problems.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 651888
zbMATH Keywords: overdetermined set of discrete equations
zbMATH Keywords: shock capturing
zbMATH Keywords: advection equation with discontinuous data
author: R. B. Lowrie
author: Philip L. Roe
MaRDI profile type: Publication
OpenAlex ID: W2023714611
DOI: 10.1006/JCPH.1994.1137
description: scientific article; zbMATH DE number 651888