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

@inproceedings{LeVeque1994TheII,
  title={The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources *},
  author={Randall J. LeVeque and LI ZHILIN},
  year={1994}
}
The authors develop finite difference methods for elliptic equations of the form V. ((x)Vu(x)) + (x)u(x) f(x) in a region in one or two space dimensions. It is assumed that gt is a simple region (e.g., a rectangle) and that a uniform rectangular grid is used. The situation is studied in which there is an irregular surface F of codimension contained in fl across which , a, and f may be discontinuous, and along which the source f may have a delta function singularity. As a result, derivatives of… CONTINUE READING
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