|Publication type:||Article in scientific journal|
|Type of review:||Peer review (publication)|
|Title:||Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations|
Wihler, Thomas P.
|Published in:||SIAM Journal on Scientific Computing|
|Publisher / Ed. Institution:||Society for Industrial and Applied Mathematics|
|Abstract:||In this paper we develop an adaptive procedure for the numerical solution of general, semilinear elliptic problems with possible singular perturbations. Our approach combines both prediction-type adaptive Newton methods and a linear adaptive finite element discretization (based on a robust a posteriori error analysis), thereby leading to a fully adaptive Newton-Galerkin scheme. Numerical experiments underline the robustness and reliability of the proposed approach for various examples.|
|Fulltext version:||Published version|
|License (according to publishing contract):||Licence according to publishing contract|
|Departement:||School of Management and Law|
|Organisational Unit:||Institute for Risk & Insurance (IRI)|
|Appears in collections:||Publikationen School of Management and Law|
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