Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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COMPUTATIONS ON PRECONDITIONING CUBIC SPLINE COLLOCATION METHOD OF ELLIPTIC EQUATIONS

  • Lee, Yong-Hun (Department of Mathematics, Chonbuk National University)
  • Published : 2001.05.01

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Abstract

In this work we investigate the finite element preconditioning method for the $C^1$-cubic spline collocation discretizations for an elliptic operator A defined by $Au := -{\Delta}u + a_1u_x+a_2u_y+a_0u$ in the unit square with some boundary conditions. We compute the condition number and the numerical solution of the preconditioning system for the several example problems. Finally, we compare the this preconditioning system with the another preconditioning system.

Keywords

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