A Numerical Approach to Space-Time Finite Elements for the Wave Equation

Details A Numerical Approach to Space-Time Finite Elements for the Wave Equation A Numerical Approach to Space-Time Finite Elements for the Wave Equation

2006-01-24

arxiv.org/abs/gr-qc/0601099v1

J.Comput.Phys.226:466-476,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 5 figures, 5 tables

Scientific paper

10.1016/j.jcp.2007.04.021

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.

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