Direct Elliptic Equation Solvers with Low Memory Requirements

Mark R. Schoeberl Naval Research Laboratory, Washington, DC 20375

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Abstract

Several simple modifications of the Lindzen-Kuo Gaussian elimination algorithm for solving elliptic differential equations are derived. These modifications greatly decrease the auxiliary memory requirements with only some increase in computation, thus making this method suitable for solving general elliptic equations over large grids.

Abstract

Several simple modifications of the Lindzen-Kuo Gaussian elimination algorithm for solving elliptic differential equations are derived. These modifications greatly decrease the auxiliary memory requirements with only some increase in computation, thus making this method suitable for solving general elliptic equations over large grids.

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