| 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 |
| Page(s): | 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): | 510: 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. |
| 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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Amrein, M., & Wihler, T. P. (2015). Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations. SIAM Journal on Scientific Computing, 37(4), A1637–A1657. https://doi.org/10.1137/140983537
Amrein, M. and Wihler, T.P. (2015) ‘Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations’, SIAM Journal on Scientific Computing, 37(4), pp. A1637–A1657. Available at: https://doi.org/10.1137/140983537.
M. Amrein and T. P. Wihler, “Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations,” SIAM Journal on Scientific Computing, vol. 37, no. 4, pp. A1637–A1657, 2015, doi: 10.1137/140983537.
AMREIN, Mario und Thomas P. WIHLER, 2015. Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations. SIAM Journal on Scientific Computing. 2015. Bd. 37, Nr. 4, S. A1637–A1657. DOI 10.1137/140983537
Amrein, Mario, and Thomas P. Wihler. 2015. “Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations.” SIAM Journal on Scientific Computing 37 (4): A1637–A57. https://doi.org/10.1137/140983537.
Amrein, Mario, and Thomas P. Wihler. “Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations.” SIAM Journal on Scientific Computing, vol. 37, no. 4, 2015, pp. A1637–57, https://doi.org/10.1137/140983537.
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