BDDC preconditioners for a space-time finite element discretization of parabolic problems
Numerical Analysis
2018-10-30 v1
Abstract
This paper deals with balanced domain decomposition by constraints (BDDC) method for solving large-scale linear systems of algebraic equations arising from the space-time finite element discretization of parabolic initial-boundary value problems. The time is considered as just another spatial coordinate, and the finite elements are continuous and piecewise linear on unstructured simplicial space-time meshes. We consider BDDC preconditioned GMRES methods for solving the space-time finite element Schur complement equations on the interface. Numerical studies demonstrate robustness of the preconditioners to some extent.
Keywords
Cite
@article{arxiv.1810.12159,
title = {BDDC preconditioners for a space-time finite element discretization of parabolic problems},
author = {Ulrich Langer and Huidong Yang},
journal= {arXiv preprint arXiv:1810.12159},
year = {2018}
}