We study the primal mixed finite-element approximation of the second-order elliptic problem with gradient nonlinearities. Existence and uniqueness of the approximate solution are proved and optimal-order a priori error estimates are obtained. Also, reliable a posteriori error estimators are derived.
Bibliographical noteFunding Information:
This work is supported in part by Korea Research Foundation KRF 2003-005-C00012.
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics