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

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491