Mixed boundary-value problems are considered for quasilinear uniformly elliptic differential equations as well as the minimal surface problem. The solution is approximated by the simplest finite element method. Assuming that the triangulation is uniform in the interior of the not necessarily convex domain, convergence is proved for all problems including pointwise estimates. Numerical results are given for a minimal and a capillary surface.
ASJC Scopus subject areas
- Theoretical Computer Science
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Computational Mathematics