DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Abner Salgado, University of Maryland

**Title: ***
FEM for TV Flow without Regularization
*

**Abstract:**
The TV flow, that is the subgradient flow of the energy generated by the BV-norm, and related equations are called very singular diffusion equations, since in flat regions the diffusion is so strong that becomes a nonlocal effect. We propose a method for the solution of this class of equations, which involves no regularization and is unconditionally stable and convergent. To deal with the fact that the underlying noninear problems are solved only approximately, we devise an a posteriori error estimator. Applications to materials science are currently under investigation.
Joint work with S. Bartels, R.H. Nochetto and D. Margetis

**Time:** Friday, September 7, 2012, 1:30-2:30 p.m.

**Place:** Planetary Hall (formerly Science and Tech 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