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A Fast Iterative Algorithm for Elliptic Interface Problems

Published in SIAM Journal on Numerical Analysis • Feb 1, 1998
NobleIDNI2P82W12R04S26
Authors:
Zhilin Li

Abstract

A fast, second-order accurate iterative method is proposed for the elliptic equation \[ \grad\cdot(\beta(x,y) \grad u) =f(x,y) \] in a rectangularregion $\Omega$ in two-space dimensions. We assume that there is an irregular interface across which the coefficient $\beta$, the solution u and its deriv...

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