Speaker:Andrew Barker, LLNL
Title: Algebraic multigrid for the de Rham complex

Abstract: Fast, scalable solution of very large problems in scientific computing can be performed effectively with algebraic multigrid. However, most existing algebraic multigrid algorithms target only the H1 space and are tailored to bilinear forms involving the gradient operator. In this talk we discuss the development of element-based algebraic multigrid methods for the whole de Rham sequence of H1, H(curl), H(div) and L2 spaces. The resulting method uses geometric information on the fine mesh, but generates coarse meshes in a purely algebraic way while maintaining the exactness properties of the de Rham complex, allowing for the development of scalable solvers for the entire complex.

Time: Friday, November 13, 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