The modified method of characteristics with adjusted advection
type: Item
instance of: scholarly article
title: The modified method of characteristics with adjusted advection
zbMATH Open document ID: 0936.65115
author: Jim jun. Douglas
author: Chieh-Sen Huang
author: Felipe Pereira
published in: Numerische Mathematik
publication date: 2000-05-03T00:00:00Z
review text: The modified method of characteristics (MMOC) for approximating the solutions of transport-dominated diffusion problems does not automatically preserve integral conservation laws, leading to (mass) balance errors in many kinds of flow problems. A variant, called MMOCAA, discussed herein preserves the conservation law at a minor additional computational cost. It is shown that its solution, in either Galerkin or finite difference form, converges at the same rates as were proved earlier by \textit{J. Douglas jun.} and \textit{T. F. Russell} for the standard MMOC procedure [SIAM J. Numer. Anal. 19, 871-885 (1982; Zbl 0492.65051)].
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1355437
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: method of characteristics
zbMATH Keywords: finite difference schemes
zbMATH Keywords: Galerkin method
zbMATH Keywords: numerical integral conservation laws
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s002110050453
OpenAlex ID: W1983142219
DOI: 10.1007/S002110050453
description: scientific article; zbMATH DE number 1355437