Nonlinear locally coercive variational inequalities are considered and especially the minimal surface over an obstacle. Optimal or nearly optimal error estimates are proved for a direct discretization of the problem with linear finite elements on a regular triangulation of the not necessarily convex domain. It is shown that the solution may be computed by a globally convergent relaxation method. Some numerical results are presented.
- Subject Classifications: AMS(MOS): 65N30, 49D20, CR: 5.17, 5.15
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics