Numerical simulation of time-harmonicscattering problems with an optimal PML

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
Perfectly matched layer, time-harmonic scattering, Helmholtz equation

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A. Bermúdez
Departamento de Matematica Aplicada, Universidad de Santiago de Compostela,15706 - Santiago de Compostela, Spain. 
A. Prieto
Departamento de Matematica Aplicada, ´ Universidade de Santiago de Compostela, 5706 - Santiago de Compostela, Spain. 
L. Hervella-Nieto
Departamento de Matematica, ´ Universidade da Coruna, ˜15071 - A Coruna, Spain. 
Rodolfo Rodríguez
Departamento de Ingenier´ıa Matematica, ´Universidad de Concepcion, ´ Casilla 160-C, Concepcion, Chile

Abstract

We present an optimal bounded Perfectly Matched Layer (PML) by choosing a particular absorbing function with unbounded integral. With this choice, any spurious reflection is avoided even when the thickness of the layer is finite. We show that such choice is easy to implement in a finite element method and overcomes the dependency of parameters for the discrete problem. Finally, we presents some numerical tests.

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Vol. 13 (2006): Special Issue: Proceedings of the Conferences Valparaíso Númerico II

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Bermúdez, A., Prieto, A. ., Hervella-Nieto, L., & Rodríguez, R. (2025). Numerical simulation of time-harmonicscattering problems with an optimal PML. Scientia Series A: Mathematical Sciences, 13, 58-71. https://doi.org/10.71712/