| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations |
| Authors: | Amrein, Mario Wihler, Thomas P. |
| DOI: | 10.1137/140983537 |
| Published in: | SIAM Journal on Scientific Computing |
| Volume(Issue): | 37 |
| Issue: | 4 |
| Pages: | A1637 |
| Pages to: | A1657 |
| Issue Date: | 2015 |
| Publisher / Ed. Institution: | Society for Industrial and Applied Mathematics |
| ISSN: | 1064-8275 1095-7197 0196-5204 |
| Language: | English |
| Subject (DDC): | |
| 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. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/11177 |
| 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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