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Solution of time-harmonic Maxwell's equations by a domain decomposition method based on PML transmission conditions by Borzooei, Sahar; Dolean, Victorita; Tournier, Pierre-Henri; Migliaccio, Claire is a scholarly article available to read on EtoBox.

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Numerical discretization of the large-scale Maxwell's equations leads to an ill-conditioned linear system that is challenging to solve. The key requirement for successive solutions of this linear system is to choose an efficient solver. In this work we use Perfectly Matched Layers (PML) to increase this efficiency. PML have been widely used to truncate numerical simulations of wave equations due to improving the accuracy of the solution instead of using absorbing boundary conditions (ABCs). Here, we will develop an efficient solver by providing an alternative use of PML as transmission conditions at the interfaces between subdomains in our domain decomposition method. We solve Maxwell's equations and assess the convergence rate of our solutions compared to the situation where absorbing boundary conditions are chosen as transmission conditions.

Author

Borzooei, Sahar; Dolean, Victorita; Tournier, Pierre-Henri; Migliaccio, Claire

Published

2022

Language

EN