Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 48, Issue 3, Pages 1186-1207Publisher
SIAM PUBLICATIONS
DOI: 10.1137/090747002
Keywords
nonlinear equations; mixed finite-element methods; a priori error estimates; a posteriori error estimate; adaptivity
Categories
Funding
- WCU through NRF [R31-2008-000-10049-0]
- Ministry of Education, Science and Techonlogy [NRF-2007-314-C00095]
Ask authors/readers for more resources
We study the mixed finite element approximation of the second order elliptic problem with gradient nonlinearities in two and three space dimensions. Existence and uniqueness of the approximate solution are proved and optimal order a priori error estimates in L-m(Omega) are obtained. Also, reliable and efficient a posteriori error estimators measured in the L-m(Omega)-norm are derived. Numerical examples are provided to illustrate the performance of the proposed estimator.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
