Houston, Paul; Wihler, Thomas (2018). An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems. Mathematics of computation, 87(314), pp. 2641-2674. American Mathematical Society 10.1090/mcom/3308
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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 discretisation, which, in turn, is based on a robust hp-version a posteriori residual analysis. 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: |
Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0025-5718 |
Publisher: |
American Mathematical Society |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
22 May 2019 14:37 |
Last Modified: |
05 Dec 2022 15:25 |
Publisher DOI: |
10.1090/mcom/3308 |
BORIS DOI: |
10.7892/boris.125543 |
URI: |
https://boris.unibe.ch/id/eprint/125543 |
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