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An a posteriori estimate for nonconforming finite element methods
Author(s) -
Carstensen Carsten,
Jansche Stefan
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781510
Subject(s) - a priori and a posteriori , finite element method , reliability (semiconductor) , mathematics , mathematical optimization , poisson distribution , computer science , adaptive mesh refinement , algorithm , calculus (dental) , statistics , computational science , engineering , structural engineering , physics , medicine , philosophy , power (physics) , epistemology , dentistry , quantum mechanics
A computable error estimate is established for the model case of the Poisson‐problem. This enables an efficient method in applying the nonconforming Crouzeix‐Raviart Elements for adaptive refinement techniques. We study reliability and efficiency of the proposed algorithm both theoretically and numerically.