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Optimal 25-Point Finite-Difference Subgridding Techniques for the 2D Helmholtz Equation

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  • Tingting Wu
  • Zhongying Chen
  • Jian Chen

Abstract

We present an optimal 25-point finite-difference subgridding scheme for solving the 2D Helmholtz equation with perfectly matched layer (PML). This scheme is second order in accuracy and pointwise consistent with the equation. Subgrids are used to discretize the computational domain, including the interior domain and the PML. For the transitional node in the interior domain, the finite difference equation is formulated with ghost nodes, and its weight parameters are chosen by a refined choice strategy based on minimizing the numerical dispersion. Numerical experiments are given to illustrate that the newly proposed schemes can produce highly accurate seismic modeling results with enhanced efficiency.

Suggested Citation

  • Tingting Wu & Zhongying Chen & Jian Chen, 2016. "Optimal 25-Point Finite-Difference Subgridding Techniques for the 2D Helmholtz Equation," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-16, March.
    • Handle: RePEc:hin:jnlmpe:1719846
    DOI: 10.1155/2016/1719846
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