DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**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