Variable Preconditioned Krylov Subspace Method With Communication Avoiding Technique for Electromagnetic Analysis
| Autor: | Soichiro Ikuno, Susumu Nakata, Taku Itoh, Kuniyoshi Abe, Gong Chen |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
010302 applied physics
Iterative method Computer science Computation Linear system Krylov subspace Solver Computer Science::Numerical Analysis 01 natural sciences Generalized minimal residual method Mathematics::Numerical Analysis 010305 fluids & plasmas Computational science Electronic Optical and Magnetic Materials Convergence (routing) 0103 physical sciences Computer Science::Mathematical Software Conjugate residual method Electrical and Electronic Engineering Algorithm |
| Zdroj: | IEEE Transactions on Magnetics. 53:1-4 |
| ISSN: | 1941-0069 0018-9464 |
| DOI: | 10.1109/tmag.2017.2655513 |
| Popis: | The variable preconditioned (VP) Krylov subspace method with communication avoiding (CA) technique is adopted for the solver of a linear system obtained from electromagnetic analysis, and the numerical features are investigated. A massive communication time between processing units (PUs) or graphics PU/many integrated core is a big issue for parallelization efficiency that needs to be solved. Although k-skip Krylov subspace method is one solution for the issue, convergence property of the method is becoming worse. For this reason, we adopt the k-skip Krylov subspace method as inner-loop solver of the VP Krylov subspace method. The result of computation shows that the VP Krylov subspace method with CA technique is very effective for the linear system obtained from electromagnetic analysis. |
| Databáze: | OpenAIRE |
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