Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell’s equations solvers
We show that the performance of frequency-domain solvers of Maxwell’s equations is greatly affected by the kind of the perfectly matched layer (PML) used. In particular, we demonstrate that using the stretched-coordinate PML (SC-PML) results in significantly faster convergence speed than using the u...
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| Published in | Journal of computational physics Vol. 231; no. 8; pp. 3406 - 3431 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Elsevier Inc
20.04.2012
Elsevier |
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| Abstract | We show that the performance of frequency-domain solvers of Maxwell’s equations is greatly affected by the kind of the perfectly matched layer (PML) used. In particular, we demonstrate that using the stretched-coordinate PML (SC-PML) results in significantly faster convergence speed than using the uniaxial PML (UPML). Such a difference in convergence behavior is explained by an analysis of the condition number of the coefficient matrices. Additionally, we develop a diagonal preconditioning scheme that significantly improves solver performance when UPML is used. |
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| AbstractList | We show that the performance of frequency-domain solvers of Maxwell's equations is greatly affected by the kind of the perfectly matched layer (PML) used. In particular, we demonstrate that using the stretched-coordinate PML (SC-PML) results in significantly faster convergence speed than using the uniaxial PML (UPML). Such a difference in convergence behavior is explained by an analysis of the condition number of the coefficient matrices. Additionally, we develop a diagonal preconditioning scheme that significantly improves solver performance when UPML is used. |
| Author | Shin, Wonseok Fan, Shanhui |
| Author_xml | – sequence: 1 givenname: Wonseok surname: Shin fullname: Shin, Wonseok email: wsshin@stanford.edu – sequence: 2 givenname: Shanhui surname: Fan fullname: Fan, Shanhui email: shanhui@stanford.edu |
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| Keywords | Finite-difference frequency-domain method Perfectly matched layer Preconditioner Maxwell’s equations Finite-element method Condition number Iterative methods Frequency domain method Maxwell's equations Maxwell equations Calculation methods Convergence speed Finite element method Calculation Performance Preconditioning Boundary layers |
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| Snippet | We show that the performance of frequency-domain solvers of Maxwell’s equations is greatly affected by the kind of the perfectly matched layer (PML) used. In... We show that the performance of frequency-domain solvers of Maxwell's equations is greatly affected by the kind of the perfectly matched layer (PML) used. In... |
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| SubjectTerms | Boundary conditions Computational techniques Condition number Convergence Exact sciences and technology Finite-difference frequency-domain method Finite-element method Iterative methods Mathematical analysis Mathematical methods in physics Matrices Maxwell's equations Perfectly matched layer Perfectly matched layers Physics Preconditioner Preconditioning Solvers |
| Title | Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell’s equations solvers |
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