Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations

Amrein, Mario; Wihler, Thomas (2015). Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations. SIAM Journal on Scientific Computing, 37(4), A1637-A1657. Society for Industrial and Applied Mathematics 10.1137/140983537

[img] Text
140983537.pdf - Published Version
Restricted to registered users only
Available under License Publisher holds Copyright.

Download (1MB) | Request a copy

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

Item Type:

Journal Article (Review Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Amrein, Mario and Wihler, Thomas

Subjects:

500 Science > 510 Mathematics

ISSN:

1064-8275

Publisher:

Society for Industrial and Applied Mathematics

Language:

English

Submitter:

Mario Amrein

Date Deposited:

07 Jul 2015 13:54

Last Modified:

07 Jul 2015 13:54

Publisher DOI:

10.1137/140983537

BORIS DOI:

10.7892/boris.70116

URI:

https://boris.unibe.ch/id/eprint/70116

Actions (login required)

Edit item Edit item
Provide Feedback