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
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Funding
- WCU through NRF [R31-2008-000-10049-0]
- Ministry of Education, Science and Techonlogy [NRF-2007-314-C00095]
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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.
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