A Numerical Approach to Space-Time Finite Elements for the Wave Equation
| dc.creator | Anderson, Matthew | |
| dc.creator | Kimn, Jung-Han | |
| dc.date | 2006-01-24 | |
| dc.date.accessioned | 2026-07-07T10:44:05Z | |
| dc.date.available | 2026-07-07T10:44:05Z | |
| dc.description | 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. | |
| dc.description | 9 pages, 5 figures, 5 tables | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0601099 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0601099 | |
| dc.identifier | J.Comput.Phys.226:466-476,2007 | |
| dc.identifier | doi:10.1016/j.jcp.2007.04.021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/182473 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A Numerical Approach to Space-Time Finite Elements for the Wave Equation | |
| dc.type | text |