Speaker:Helen Li, Brown University
Title: Blended atomistic-to-continuum hybrid methods for modeling crystalline materials

Abstract: The development of consistent and stable atomistic-to-continuum coupling models for multi-dimensional crystalline solids remains a challenge. In this talk, we consider two prototypical atomistic-to-continuum coupling methods of blending type: the energy-based and the force-based quasicontinuum methods, with a comprehensive error analysis that is valid in two and three dimensions, for simple crystals, and in the presence of lattice defects (point defects and dislocations). Recently, we extend our analysis to multi-lattices crystals, for example, graphene type structures. Based on a precise choice of blending mechanism, the error estimates are considered in terms of degrees of freedom. The numerical experiments for simple crystals confirm the theoretical predictions.

Time: Friday, December 4, 2015, 1:30-2:30 p.m.

Place: Exploratory Hall, Room 4106

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