Premium
A posteriori error estimates for FEM with violated Galerkin orthogonality
Author(s) -
Angermann Lutz
Publication year - 2002
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.10005
Subject(s) - mathematics , annihilator , orthogonality , galerkin method , petrov–galerkin method , partial differential equation , residual , finite element method , operator (biology) , a priori and a posteriori , space (punctuation) , method of mean weighted residuals , partial derivative , differential operator , mathematical analysis , pure mathematics , algebra over a field , geometry , algorithm , computer science , philosophy , repressor , chemistry , operating system , biochemistry , epistemology , transcription factor , thermodynamics , physics , gene
This article investigates Petrov‐Galerkin discretizations of operator equations with linearly stable operators, where the residual does not belong to the annihilator W h ⊥of the discrete test space W h . Conforming and nonconforming methods are considered separately, and for the treatment of the nonconforming situation the concept of elliptic lifting is introduced. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 241–259, 2002; DOI 10.1002/num.1005