GEORGE MASON UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES
APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR


Speaker:Wujun Zhang, University of Maryland
Title: Convergence and quasi optimality of adaptive hybridizable discontinuous Galerkin methods

Abstract: We establish the convergence and quasi-optimality of adaptive hybridizable discontinuous Galerkin (AHDG) methods for the Pois- son problem. We prove that the so-called quasi-error, that is, the sum of an energy-like error and a suitably scaled error estimator, contracts between two consecutive loops. Moreover, we show that the AHDG methods achieve optimal rates of convergence.

Time: Friday, February 15, 2013, 1:30-2:30 p.m.

Place: Planetary Hall (formerly S & T I), Room 242


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