Algebraic multigrid methods for an adaptive space-time finite element discretization of parabolic and coupled problems
Dr. Huidong YangJan. 16, 2018, 2:30 p.m. S2 416-1
In this talk, we will present our recent work on algebraic multigrid methods for solving the linear system of algebraic equations arising from a space-time finite element discretization of parabolic and related coupled problems with simultaneous adaptivity in space-time. The finite element discretization is based on the recent results [O. Steinbach: Space-time finite element methods for parabolic problems, Comput. Methods Appl. Math., 15:551-566, 2015].
We mainly discuss robustness of the methods with respect to the mesh discretization parameter, material constants, local space-time adaptivity, and a certain regularization parameter. Some of the results have been reported in our recent work [O. Steinbach, H. Yang: Comparison of algebraic multigrid methods for an adaptive space-time finite element discretization of the heat equation in 3D and 4D. Numer. Linear Algebra Appl. 2017;e2143.].