Hybrid absorbing boundary conditions of PML and CRBC

Seungil Kim

doi:10.1016/j.cam.2021.113713

Hybrid absorbing boundary conditions of PML and CRBC

Seungil Kim

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper we introduce a hybrid absorbing boundary condition (HABC) by combining perfectly matched layer (PML) and complete radiation boundary condition (CRBC) for solving a one-dimensional diffraction grating problem. The new boundary condition is devised in such a way that it can enjoy relative advantages from both methods. The well-posedness of the problem with HABC and the convergence of approximate solutions will be analyzed. Numerical examples to illustrate the efficiency of HABC are also presented.

Original language	English
Article number	113713
Journal	Journal of Computational and Applied Mathematics
Volume	399
DOIs	https://doi.org/10.1016/j.cam.2021.113713
Publication status	Published - 1 Jan 2022

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

Absorbing boundary condition
Complete radiation boundary condition
Diffraction grating
Helmholtz equation
Perfectly matched layer

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10.1016/j.cam.2021.113713

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abstract = "In this paper we introduce a hybrid absorbing boundary condition (HABC) by combining perfectly matched layer (PML) and complete radiation boundary condition (CRBC) for solving a one-dimensional diffraction grating problem. The new boundary condition is devised in such a way that it can enjoy relative advantages from both methods. The well-posedness of the problem with HABC and the convergence of approximate solutions will be analyzed. Numerical examples to illustrate the efficiency of HABC are also presented.",

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AB - In this paper we introduce a hybrid absorbing boundary condition (HABC) by combining perfectly matched layer (PML) and complete radiation boundary condition (CRBC) for solving a one-dimensional diffraction grating problem. The new boundary condition is devised in such a way that it can enjoy relative advantages from both methods. The well-posedness of the problem with HABC and the convergence of approximate solutions will be analyzed. Numerical examples to illustrate the efficiency of HABC are also presented.

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KW - Complete radiation boundary condition

KW - Diffraction grating

KW - Helmholtz equation

KW - Perfectly matched layer

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Hybrid absorbing boundary conditions of PML and CRBC

Abstract

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Keywords

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