Finding plasma equilibria with magnetic islands
Journal of Computational Physics
Approximation of solutions of singular second-order boundary value problems
SIAM Journal on Mathematical Analysis
On a singular nonlinear elliptic equation
Nonlinear Analysis: Theory, Methods & Applications
Numerical solution of a class of singular free boundary problems involving the m-Laplace operator
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
We study a class of singular free boundary problems for the degenerate m-Laplacian. Taking into account the behavior of the solution in the neighborhood of the singular points, a variable substitution is introduced, which makes the solution smooth in all the domain. Then, a standard finite difference scheme is used to discretize the problem. The numerical results suggest that in this way the second order convergence of the finite difference scheme is recovered, in spite of the singularities.