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Moving finite element methods by use of space–time elements: I. Scalar problems
Author(s) -
Hansbo Peter
Publication year - 1998
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199803)14:2<251::aid-num7>3.0.co;2-n
Subject(s) - finite element method , mathematics , a priori and a posteriori , polygon mesh , galerkin method , scalar (mathematics) , partial differential equation , minification , estimator , discontinuous galerkin method , mixed finite element method , method of mean weighted residuals , mathematical optimization , mathematical analysis , geometry , physics , thermodynamics , epistemology , philosophy , statistics
This article deals with moving finite element methods by use of the time‐discontinuous Galerkin formulation in combination with oriented space–time meshes. A principle for mesh orientation in space–time based on minimization of the residual, related to adaptive error control via an a posteriori error estimate, is presented. The relation to Miller's moving finite element method is discussed. The article deals with scalar problems; systems will be treated in a companion article. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14:251–262, 1998