Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645260 | Applied Numerical Mathematics | 2013 | 18 Pages |
Abstract
We present and analyze an approximation scheme for the two-dimensional game p-Laplacian in the framework of viscosity solutions. The approximation is based on a semi-Lagrangian scheme which exploits the idea of p-averages. We study the properties of the scheme and prove that it converges, in particular cases, to the viscosity solution of the game p-Laplacian. We also present a numerical implementation of the scheme for different values of p; the numerical tests show that the scheme is accurate.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics