Volume 10, Issue 2
An Optimal 9-point Finite Difference Scheme for the Helmholtz Equation with PML

Z. Chen, D. Cheng, W. Feng & T. Wu

Int. J. Numer. Anal. Mod., 10 (2013), pp. 389-410

Published online: 2013-10

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  • Abstract
In this paper, we analyze the defect of the rotated 9-point finite difference scheme, and present an optimal 9-point finite difference scheme for the Helmholtz equation with perfectly matched layer (PML) in two dimensional domain. For this method, we give an error analysis for the numerical wavenumber
  • Keywords

Helmholtz equation PML 9-point finite difference scheme numerical dispersion

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@Article{IJNAM-10-389, author = {Z. Chen, D. Cheng, W. Feng and T. Wu}, title = {An Optimal 9-point Finite Difference Scheme for the Helmholtz Equation with PML}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {2}, pages = {389--410}, abstract = {In this paper, we analyze the defect of the rotated 9-point finite difference scheme, and present an optimal 9-point finite difference scheme for the Helmholtz equation with perfectly matched layer (PML) in two dimensional domain. For this method, we give an error analysis for the numerical wavenumber}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/574.html} }
TY - JOUR T1 - An Optimal 9-point Finite Difference Scheme for the Helmholtz Equation with PML AU - Z. Chen, D. Cheng, W. Feng & T. Wu JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 389 EP - 410 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/574.html KW - Helmholtz equation KW - PML KW - 9-point finite difference scheme KW - numerical dispersion AB - In this paper, we analyze the defect of the rotated 9-point finite difference scheme, and present an optimal 9-point finite difference scheme for the Helmholtz equation with perfectly matched layer (PML) in two dimensional domain. For this method, we give an error analysis for the numerical wavenumber
Z. Chen, D. Cheng, W. Feng & T. Wu. (1970). An Optimal 9-point Finite Difference Scheme for the Helmholtz Equation with PML. International Journal of Numerical Analysis and Modeling. 10 (2). 389-410. doi:
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