A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems

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A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems

We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations. Computable upper and lower bounds on the error are derived in terms of a natural (mesh-dependent) e...

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Bibliographic Details
Main Authors:	Houston, Paul, Suli, Endre, Wihler, Thomas P.
Format:	Article
Published:	2006
Subjects:	hp-adaptivity a-posteriori error analysis discontinuous Galerkin finite elemenet methods quasilinear elliptic PDEs
Online Access:	https://eprints.nottingham.ac.uk/413/

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