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

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)...

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Bibliographic Details
Main Authors: Houston, P, Suli, E, Wihler, T
Format: Journal article
Language:English
Published: 2008