An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

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An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

In this paper we develop an hp-adaptive procedure for the numerical solution of general second-order semilinear elliptic boundary value problems, with possible singular perturbation. Our approach combines both adaptive Newton schemes and an hp-version adaptive discontinuous Galerkin finite element d...

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Bibliographic Details
Main Authors:	Houston, Paul, Wihler, Thomas P.
Format:	Article
Published:	American Mathematical Society 2018
Subjects:	Newton method Semilinear elliptic problems Adaptive finite element methods Discontinuous Galerkin methods hp-adaptivity
Online Access:	https://eprints.nottingham.ac.uk/43760/

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