# the immersed interface method for elliptic equations with discontinuous coefficients and singular sources

@article{LeVeque1994theII,
title={the immersed interface method for elliptic equations with discontinuous coefficients and singular sources},
author={Randall J. LeVeque and Zhilin Li},
journal={SIAM Journal on Numerical Analysis},
year={1994},
volume={31},
pages={1019-1044}
}
• Published 1 August 1994
• Mathematics
• SIAM Journal on Numerical Analysis
The authors develop finite difference methods for elliptic equations of the form $\nabla \cdot (\beta (x)\nabla u(x)) + \kappa (x)u(x) = f(x)$ in a region $\Omega$ in one or two space dimension...
1,449 Citations

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NAA
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• Computer Science
SIAM J. Sci. Comput.
• 1992
In [SIAM J. Numer. Anal., 21 (1984), pp. 285–299], a method was introduced for solving Poisson’s or the biharmonic equation on an irregular region by making use of an integral equation formulation.