@article{c7d0b272231643d48b55b8ef6fee3dcb,
title = "Bounded error schemes for the wave equation on complex domains",
abstract = "This paper considers the application of the method of boundary penalty terms (SAT) to the numerical solution of the wave equation on complex shapes with Dirichlet boundary conditions. A theory is developed, in a semi-discrete setting, that allows the use of a Cartesian grid on complex geometries, yet maintains the order of accuracy with only a linear temporal error-bound. A numerical example, involving the solution of Maxwell's equations inside a 2-D circular wave-guide demonstrates the efficacy of this method in comparison to others (e.g., the staggered Yee scheme)-we achieve a decrease of two orders of magnitude in the level of the L 2-error.",
keywords = "Embedded methods, FDTD, Finite difference, Wave equation",
author = "Saul Abarbanel and Adi Ditkowski and Amir Yefet",
note = "Funding Information: This research was supported by the National Aeronautics and Space Administration under NASA Contract No. NAS1-19480 while the author was in residence at the Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA 23681-2199. S. Abarbanel was also supported in part by the Air Force Office of Scientific research Grant No. AFOSR-F49620-95-1-0074, and by the Department of Energy under grant DOE-DE-FG02-95ER25239.",
year = "2006",
month = jan,
doi = "10.1007/s10915-004-4800-x",
language = "אנגלית",
volume = "26",
pages = "67--81",
journal = "Journal of Scientific Computing",
issn = "0885-7474",
publisher = "Springer New York",
number = "1",
}