A Numerical Approach to Space-Time Finite Elements for the Wave Equation
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We study a space-time finite element approach for the nonhomogeneous wave equation using a continuous time Galerkin method. We present fully implicit examples in 1+1, 2+1, and 3+1 dimensions using linear quadrilateral, hexahedral, and tesseractic elements. Krylov solvers with additive Schwarz preconditioning are used for solving the linear system. We introduce a time decomposition strategy in preconditioning which significantly improves performance when compared with unpreconditioned cases.
Cite
@article{arxiv.gr-qc/0601099,
title = {A Numerical Approach to Space-Time Finite Elements for the Wave Equation},
author = {Matthew Anderson and Jung-Han Kimn},
journal= {arXiv preprint arXiv:gr-qc/0601099},
year = {2008}
}
Comments
9 pages, 5 figures, 5 tables