Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: The scalar case
We develop a one--parameter family of hp-version discontinuous Galerkin finite element methods for the numerical solution of quasilinear elliptic equations in divergence-form in a bounded Lipschitz domain. Using Brouwer's Fixed Point Theorem, we show existence and uniqueness of the solution. In...
| Main Authors: | , , |
|---|---|
| Format: | Report |
| Published: |
Unspecified
2004
|