Preconditioned space-time boundary element methods for the one-dimensional heat equation
Numerical Analysis
2018-11-14 v1
Abstract
In this note we describe a space-time boundary element discretization of the heat equation and an efficient and robust preconditioning strategy which is based on the use of boundary integral operators of opposite orders, but which requires a suitable stability condition for the boundary element spaces used for the discretization. We demonstrate the method for the simple spatially one-dimensional case. However, the presented results, particularly the stability analysis of the boundary element spaces, can be used to extend the method to the two- and three-dimensional problem.
Cite
@article{arxiv.1811.05165,
title = {Preconditioned space-time boundary element methods for the one-dimensional heat equation},
author = {Stefan Dohr and Olaf Steinbach},
journal= {arXiv preprint arXiv:1811.05165},
year = {2018}
}
Comments
Accepted for publicatoin in the proceedings of the 24th International Conference on Domain Decomposition Methods