@Article{CiCP-9-520,
author = {},
title = {Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes},
journal = {Communications in Computational Physics},
year = {2011},
volume = {9},
number = {3},
pages = {520--541},
abstract = {<p style="text-align: justify;">In many problems, one wishes to solve the Helmholtz equation with variable
coefficients within the Laplacian-like term and use a high order accurate method
(e.g., fourth order accurate) to alleviate the points-per-wavelength constraint by reducing
the dispersion errors. The variation of coefficients in the equation may be due
to an inhomogeneous medium and/or non-Cartesian coordinates. This renders existing
fourth order finite difference methods inapplicable. We develop a new compact
scheme that is provably fourth order accurate even for these problems. We present
numerical results that corroborate the fourth order convergence rate for several model
problems.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.091209.080410s},
url = {http://global-sci.org/intro/article_detail/cicp/7509.html}
}