Convergence and Optimality of Adaptive Mixed Finite Element Methods
Dr. Long Chen
UCSD Department of Mathematics
In this talk we shall analyze the convergence and optimality ofadaptive mixed finite element methods for second order ellipticpartial differential equations. The main difficulty for the mixedfinite element method is the lack of minimization principle and thusthe failure of orthogonality. A quasi-orthogonality property isproved using the fact that the error is orthogonal to the divergencefree subspace, while the part of the error containing divergence canbe bounded by data oscillation.
Tuesday, May 23, 2006
11:00AM AP&M 2402
Center for Computational Mathematics9500 Gilman Dr. #0112La Jolla, CA 92093-0112Tel: (858)534-9813