Optimal moving grids for time-dependent partial differential equations
type: Item
instance of: scholarly article
title: Optimal moving grids for time-dependent partial differential equations
zbMATH Open document ID: 0756.65122
DOI: 10.1016/0021-9991(92)90041-V
published in: Journal of Computational Physics
publication date: 1993-01-17T00:00:00Z
review text: The author proposes optimal moving grids on which the solutions of the linear heat conduction and the viscous Burgers' equation in one space dimension are approximated. The numerical calculation of optimal moving grids for piecewise linear finite element approximations of solutions of partial differential equations in the least-squares norm is considered. The optimal approximation relies on an exact knowledge of the solutions of the partial differential equations.
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 97189
zbMATH Keywords: optimal moving grids
zbMATH Keywords: linear heat conduction
zbMATH Keywords: viscous Burgers' equation
zbMATH Keywords: piecewise linear finite element
author: A. J. Wathen
reviewed by: Plamen Yalamov
describes a project that uses: DASSL
describes a project that uses: SPRINT2D
MaRDI profile type: Publication
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full work available at URL: 0021-9991(92)90041-v
OpenAlex ID: W2085758792
description: scientific article; zbMATH DE number 97189