Amrein, Mario; Melenk, Jens Markus; Wihler, Thomas (2017). An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems. Mathematical methods in the applied sciences, 40(6), pp. 1973-1985. Wiley 10.1002/mma.4113
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In this paper, we develop an hp-adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1d, with possible singular perturbations. Our approach combines both a prediction-type adaptive Newton method and an hp-version adaptive finite element discretization (based on a robust a posteriori residual analysis), thereby leading to a fully hp-adaptive Newton–Galerkin scheme. Numerical experiments underline the robustness and reliability of the proposed approach for various examples.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Amrein, Mario, Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0170-4214 |
Publisher: |
Wiley |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
17 Apr 2018 09:09 |
Last Modified: |
05 Dec 2022 15:09 |
Publisher DOI: |
10.1002/mma.4113 |
BORIS DOI: |
10.7892/boris.109182 |
URI: |
https://boris.unibe.ch/id/eprint/109182 |
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