2006/01/24 by Matthew Anderson, Jung‐Han Kimn, Jung-Han Kimn
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #Numerical methods for differential equations #gr-qc
paper · pdf · doi:10.1016/j.jcp.2007.04.021
published as J.Comput.Phys.226:466-476,2007 · 9 pages, 5 figures, 5 tables
arxiv created 2006/01/24 · openalex publication_date 2007/05/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.