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The global element method and its extension to parabolic problems
Author(s) -
Botha J. F.,
Bakkes G. N.
Publication year - 1985
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/num.1690010106
Subject(s) - mathematics , extension (predicate logic) , element (criminal law) , gravitational singularity , point (geometry) , partial differential equation , mathematical analysis , finite element method , euler's formula , geometry , computer science , physics , political science , law , thermodynamics , programming language
This article describes the derivation of the global element method, originally proposed by Delves and Hall, using the classical Euler–Lagrange theory. The method is then extended so as to be applicable to parabolic partial differential equations. The main advantages of the method, the ease of adjusting its accuracy and applying it to problems with discontinuous coefficients and point singularities, are also discussed.