J Austral Math Soc Ser B 37 pp549--570, 1996.

Preconditioning collocation method using quadratic splines with applications to 2^nd-order separable elliptic equations

Sang Dong Kim

Abstract

In this paper we propose a P₁ finite element preconditioning using the so-called 'hat-function', to a collocation scheme constructed by quadratic splines for a 2^nd-order separable elliptic operator and we show that the resulting preconditioning system of equations is well conditioned with the condition number independent of the number of unknowns.

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Author

Sang Dong Kim

Department of Mathematics, Teachers College, Kyungpook National University, Taegu, Korea.