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Convergent approaches for the Dirichlet Monge amp\`ere problem
- Publication Year :
- 2023
-
Abstract
- In this article, we introduce and study three numerical methods for the Dirichlet Monge Amp\`ere equation in two dimensions. The approaches consist in considering new equivalent problems. The latter are discretized by a wide stencil finite difference discretization and monotone schemes are obtained. Hence, we apply the Barles-Souganidis theory to prove the convergence of the schemes and the Damped Newtons method is used to compute the solutions of the schemes. Finally, some numerical results are illustrated.<br />Comment: 14pages, 7figures
- Subjects :
- Mathematics - Numerical Analysis
G.1.1
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2301.08636
- Document Type :
- Working Paper