Immersed Interface Methods (IIMs)

See also:

Under construction.

Some papers:

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

Cartesian Grid Methods for Fluid Flow in Complex Geometries,
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.)

Crack jump conditions for elliptic problems
by A. Wiegmann, Z. Li, and R. J. LeVeque Applied Mathematics Letters, 12,6 (1999), pp. 81-86

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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