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 |
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Article number | 113713 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 399 |
DOIs | |
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