See also:

- Cartesian grid method for hyperbolic problems
- Immersed interface methods for incompressible Navier-Stokes

**The Immersed Interface Method for Elliptic Equations
with Discontinuous Coefficients and Singular Sources
**

by R. J. LeVeque and Z. Li
*SIAM J. Numer. Anal.*, 31(1994), pp. 1019-1044

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by R. J. LeVeque and D. Calhoun, Appears in "Computational Modeling in Biological Fluid Dynamics", (L. J. Fauci and S. Gueron, eds.) IMA Volumes in Mathematics and its Applications 124, pp. 117-143, Springer-Verlag, 2001. (Proceedings of an IMA Workshop January, 1999.)

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**Crack jump conditions for elliptic problems
**

by A. Wiegmann, Z. Li, and R. J. LeVeque
*Applied Mathematics Letters*, 12,6 (1999), pp. 81-86

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**
Correction to the article A comparison of the extended finite element
method with the immersed interface method for elliptic equations with
discontinuous coefficients and singular sources by Vaughan et al.
**

by J. T. Beale, D. L. Chopp, R. J. LeVeque, and Zhilin Li
*Comm. Appl. Math. Comput. Sci.* 3 (2008), pp. 95-100.

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