M-Adaptation Method for Acoustic Wave Equation on Rectangular Meshes

V. Gyrya () and K. Lipnikov ()
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V. Gyrya: Los Alamos National Laboratory
K. Lipnikov: Los Alamos National Laboratory

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 429-439 from Springer

Abstract: 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.

Keywords: Stiffness Matrice; Spectral Element Method; Numerical Dispersion; Rectangular Mesh; Reproduce Kernel Particle Method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_46

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DOI: 10.1007/978-3-642-33134-3_46

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