The numerical solution of Dirichlet's problem for a second-order elliptic operator in divergence form with arbitrary nonlinearities in the first-and zero-order terms is considered. The mixed finite-element method is used. Existence and uniqueness of the approximation are proved and optimal error estimates in L2 are demonstrated for the relevant functions. Error estimates are also derived in Lq, 2 ≤ q ≤ + ∞.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics