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On the optimality of the pointwise accuracy of the finite element solution
Author(s) -
Fried Isaac
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150311
Subject(s) - pointwise , finite element method , mathematics , discretization , displacement (psychology) , mathematical analysis , mixed finite element method , element (criminal law) , physics , thermodynamics , psychology , psychotherapist , political science , law
Closed form finite element solutions are obtained for the uniformly loaded membrane in R n , n = 2,3 discretized with first‐order elements. It is verified on this model that the pointwise error in the displacement is 0( h 2 log 1/ h ). Slopes converge pointwise at the optimal rate 0( h ).
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