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M-Adaptation Method for Acoustic Wave Equation on Rectangular Meshes

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • V. Gyrya

    (Los Alamos National Laboratory)

  • K. Lipnikov

    (Los Alamos National Laboratory)

Abstract

A novel discretization strategy, dubbed m-adaptation, is developed for solving the acoustic wave equation (in the time domain) on rectangular meshes. The developed method is based on a scheme that is second-order accurate in space and time but has the sixth-order numerical anisotropy on square meshes and the fourth order dispersion on rectangular meshes.

Suggested Citation

  • V. Gyrya & K. Lipnikov, 2013. "M-Adaptation Method for Acoustic Wave Equation on Rectangular Meshes," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 429-439, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_46
    DOI: 10.1007/978-3-642-33134-3_46
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