Scalable Preconditioners for Structure Preserving Discretizations of Maxwell Equations in First Order Form
| Autor: | John N. Shadid, Edward G. Phillips, Eric C. Cyr |
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| Rok vydání: | 2018 |
| Předmět: |
Preconditioner
Applied Mathematics Linear system Stability (learning theory) 010103 numerical & computational mathematics 01 natural sciences 010101 applied mathematics Computational Mathematics symbols.namesake Multigrid method Maxwell's equations symbols Dissipative system Applied mathematics Boundary value problem 0101 mathematics Mathematics Block (data storage) |
| Zdroj: | SIAM Journal on Scientific Computing. 40:B723-B742 |
| ISSN: | 1095-7197 1064-8275 |
| DOI: | 10.1137/17m1135827 |
| Popis: | Multiple physical time-scales can arise in electromagnetic simulations when dissipative effects are introduced through boundary conditions, when currents follow external time-scales, and when material parameters vary spatially. In such scenarios, the time-scales of interest may be much slower than the fastest time-scales supported by the Maxwell equations, therefore making implicit time integration an efficient approach. The use of implicit temporal discretizations results in linear systems in which fast time-scales, which severely constrain the stability of an explicit method, can manifest as so-called stiff modes. This study proposes a new block preconditioner for structure preserving (also termed physics compatible) discretizations of the Maxwell equations in first order form. The intent of the preconditioner is to enable the efficient solution of multiple-time-scale Maxwell type systems. An additional benefit of the developed preconditioner is that it requires only a traditional multigrid method for i... |
| Databáze: | OpenAIRE |
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