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A novel TDFEM scheme based on high‐performance parallel solver PaStiX
Author(s) -
Wu Xia
Publication year - 2019
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2691
Subject(s) - solver , factorization , computer science , focus (optics) , stability (learning theory) , scheme (mathematics) , sparse matrix , numerical stability , matrix (chemical analysis) , domain (mathematical analysis) , finite element method , linear system , algorithm , numerical analysis , parallel computing , mathematics , mathematical optimization , mathematical analysis , physics , materials science , quantum mechanics , machine learning , optics , composite material , gaussian , thermodynamics
In this paper, we focus on the theory and fulfillment of parallel time domain finite element method (TDFEM) with PaStiX (Parallel Sparse matriX package) for solving three‐dimensional electromagnetic (EM) radiation problems. The motivation behind the research is required to maintain numerical stability and achieve high speed for parallel sparse LU factorization on parallel platforms. Firstly, we overview the concept of an unconditional stable TDFEM scheme, and numerical optimization for ill‐conditioned equations obtained from the TDFEM with perfectly matched layer (PML) was presented to alleviate nonconvergent results. Secondly, we develop sparse linear system solvers that use DS factorization to solve the preconditioned system. Numerical results were obtained from the cases of the cavity resonance problem and a cone antenna. A noteworthy observation from the time‐consuming results in different solvers is that PaStiX is usually much faster compared with UMFPACK and SuperLU.