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Studies on some perfectly matched layers for one-dimensional time-dependent systems

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Abstract

We will analyze some perfectly matched layers (PMLs) for the one-dimensional time-dependent Maxwell system, acoustic equations and hyperbolic systems in unbounded domains. The exponential decays and convergence of the PML solutions are studied. Some finite difference schemes are proposed for the PML equations and their stability and convergence are established.

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, Edmonton, AL T6G 2G1, Canada

    Yanping Lin

  2. Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, People’s Republic of China

    Kai Zhang & Jun Zou

Authors
  1. Yanping Lin
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  2. Kai Zhang
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  3. Jun Zou
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Corresponding author

Correspondence to Yanping Lin.

Additional information

Communicated by Yuesheng Xu.

The work of Y. Lin was fully supported by the NSERC of Canada, of K. Zhang partially supported by a Direct Grant of CUHK (2060276) and NNSF (No. 10701039 of China), whereas the work of J. Zou was fully supported by Hong Kong RGC grants (Project 404606 and Project 404407).

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Lin, Y., Zhang, K. & Zou, J. Studies on some perfectly matched layers for one-dimensional time-dependent systems. Adv Comput Math 30, 1–35 (2009). https://doi.org/10.1007/s10444-007-9055-2

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  • DOI: https://doi.org/10.1007/s10444-007-9055-2

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