A posteriori  error estimates for FEM with violated Galerkin orthogonality | Zendy

Angermann Lutz | Zendy

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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

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