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A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs

Abstract:

We develop the a posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite-element methods for a class of second-order quasi-linear elliptic partial differential equations. Computable upper and lower bounds on the error are derived in terms of a natural (mesh dependent) energy norm. The bounds are explicit in the local mesh size and the local polynomial degree of the approximating finite element function. The performance of the proposed error indicators within an ...

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Publication status:
Published

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Publisher copy:
10.1093/imanum/drm009

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
IMA JOURNAL OF NUMERICAL ANALYSIS
Volume:
28
Issue:
2
Pages:
245-273
Publication date:
2008-04-05
DOI:
EISSN:
1464-3642
ISSN:
0272-4979
URN:
uuid:b0a5c0a5-0c34-42a2-8315-e34ade0dcc2a
Source identifiers:
187892
Local pid:
pubs:187892

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