Moving finite element methods for evolutionary problems. I: Theory
type: Item
instance of: scholarly article
title: Moving finite element methods for evolutionary problems. I: Theory
zbMATH Open document ID: 0665.65071
DOI: 10.1016/0021-9991(88)90016-2
author: M. J. Baines
author: A. J. Wathen
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The authors present a unified theory of moving and fixed finite element methods for evolutionary problems of the form \(u_ t=L(u)\) where L is a spatial operator that may be nonlinear. They pay particular attention to the required projections, to problems in one space dimension with hat functions as basis functions, to conservation laws and to the discrete modelling of shocks. They also discuss discretization in time of the resulting system of ordinary differential equations, higher order operators, higher order basis functions, multidimensional problems, the incorporation of boundary conditions, and systems of partial differential equations.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 4088866
zbMATH Keywords: finite element methods
zbMATH Keywords: evolutionary problems
zbMATH Keywords: conservation laws
zbMATH Keywords: shocks
reviewed by: Rudolf Gorenflo
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90016-2
OpenAlex ID: W2053420359
cites work: Moving Finite Elements. I
cites work: Moving Finite Elements. II
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cites work: Mesh-Independent Spectra in the Moving Finite Element Equations
cites work: Realistic Eigenvalue Bounds for the Galerkin Mass Matrix
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description: scientific article; zbMATH DE number 4088866