Two-phase obstacle problem in 2D and its aposteriori error estimate
This code computes a finite element (FEM) approximation to two benchmark two-phase obstacle problems in 2D. The FEM approximation is constructed from the maximization of the Lagrange multiplier in a dual problem. It leads to a quadratic programming problem with box constrains. Therefore, the optimization toolbox of MATLAB is required to run the code. Once the approximation is available, its quality is measured in terms of a posteriori error estimate.
Details on theory and numerics will be found in the forthcoming paper of Farid Borzorgnia and Jan Valdman: A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate (submitted).
A link to the paper will be found at the author's web page http://sites.google.com/site/janvaldman/publications .
Please cite the paper if you find the code useful.
Call 'start' in the 'solver_two_phase_obstacle' directory to run the code.
Citation pour cette source
Jan Valdman (2024). Two-phase obstacle problem in 2D and its aposteriori error estimate (https://www.mathworks.com/matlabcentral/fileexchange/57232-two-phase-obstacle-problem-in-2d-and-its-aposteriori-error-estimate), MATLAB Central File Exchange. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
Tags
Remerciements
Inspiré par : Obstacle problem in 2D and its aposteriori error estimate, Two-phase obstacle problem in 1D and its aposteriori error estimate, Tricontf, Quadrature of the absolute value of a function
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Découvrir Live Editor
Créez des scripts avec du code, des résultats et du texte formaté dans un même document exécutable.
software/path/
software/path/library_cbrewer/
software/path/library_export_pictures/
software/path/library_fem/
software/path/library_integration/
software/path/library_meshing/
software/path/library_quadrature_nondifferential/
software/path/library_quadrature_nondifferential/rest/
software/path/library_tricont_external/
software/path/library_vectorization/
software/path/library_visualization/
software/solver_two_phase_obstacle/
software/solver_two_phase_obstacle/test2D/
Version | Publié le | Notes de version | |
---|---|---|---|
1.1.0.0 | picture and paper info updated, code slightly simplified |
||
1.0.0.0 |