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Volume 26, Issue 3
A Uniaxial Optimal Perfectly Matched Layer Method for Time-Harmonic Scattering Problems

Xiaoying Yang, Fuming Ma, Deyue Zhang & Xinwei Du

Commun. Math. Res., 26 (2010), pp. 255-268.

Published online: 2021-05

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  • Abstract

We develop a uniaxial optimal perfectly matched layer (opt PML) method for solving the time-harmonic scattering problems by choosing a particular absorbing function with unbounded integral in a rectangular domain. With this choice, the solution of the optimal PML problem not only converges exponentially to the solution of the original scatting problem, but also is insensitive to the thickness of the PML layer for sufficiently small parameter $ε_0$. Numerical experiments are included to illustrate the competitive behavior of the proposed optimal method.

  • Keywords

uniaxial optimal perfectly matched layer, time-harmonic scattering, convergence.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

dyzhang@mail.jlu.edu.cn (Deyue Zhang)

  • BibTex
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  • TXT
@Article{CMR-26-255, author = {Xiaoying and Yang and and 19177 and and Xiaoying Yang and Fuming and Ma and and 18256 and and Fuming Ma and Deyue and Zhang and dyzhang@mail.jlu.edu.cn and 18257 and School of Mathematics, Jilin University, Changchun 130012, China and Deyue Zhang and Xinwei and Du and and 18258 and and Xinwei Du}, title = {A Uniaxial Optimal Perfectly Matched Layer Method for Time-Harmonic Scattering Problems}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {26}, number = {3}, pages = {255--268}, abstract = {

We develop a uniaxial optimal perfectly matched layer (opt PML) method for solving the time-harmonic scattering problems by choosing a particular absorbing function with unbounded integral in a rectangular domain. With this choice, the solution of the optimal PML problem not only converges exponentially to the solution of the original scatting problem, but also is insensitive to the thickness of the PML layer for sufficiently small parameter $ε_0$. Numerical experiments are included to illustrate the competitive behavior of the proposed optimal method.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19162.html} }
TY - JOUR T1 - A Uniaxial Optimal Perfectly Matched Layer Method for Time-Harmonic Scattering Problems AU - Yang , Xiaoying AU - Ma , Fuming AU - Zhang , Deyue AU - Du , Xinwei JO - Communications in Mathematical Research VL - 3 SP - 255 EP - 268 PY - 2021 DA - 2021/05 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19162.html KW - uniaxial optimal perfectly matched layer, time-harmonic scattering, convergence. AB -

We develop a uniaxial optimal perfectly matched layer (opt PML) method for solving the time-harmonic scattering problems by choosing a particular absorbing function with unbounded integral in a rectangular domain. With this choice, the solution of the optimal PML problem not only converges exponentially to the solution of the original scatting problem, but also is insensitive to the thickness of the PML layer for sufficiently small parameter $ε_0$. Numerical experiments are included to illustrate the competitive behavior of the proposed optimal method.

Xiaoying Yang, Fuming Ma, Deyue Zhang & Xinwei Du. (2021). A Uniaxial Optimal Perfectly Matched Layer Method for Time-Harmonic Scattering Problems. Communications in Mathematical Research . 26 (3). 255-268. doi:
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