TY - JOUR
T1 - Hybrid absorbing boundary conditions of PML and CRBC
AU - Kim, Seungil
N1 - Funding Information:
This research of the author was supported by Basic Science Research Program through the National Research Foundation of Korea ( NRF-2018R1D1A1B07047416 ) funded by the Ministry of Education, Science and Technology.
Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - 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.
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.
KW - Absorbing boundary condition
KW - Complete radiation boundary condition
KW - Diffraction grating
KW - Helmholtz equation
KW - Perfectly matched layer
UR - http://www.scopus.com/inward/record.url?scp=85110252566&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2021.113713
DO - 10.1016/j.cam.2021.113713
M3 - Article
AN - SCOPUS:85110252566
VL - 399
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
M1 - 113713
ER -