Preconditioning C1 Lagrange polynomial spline collocation method of elliptic equations by finite element method

Authors:
Sang Dong Kim;Byeong Chun Shin
Affiliations:
Department of Mathematics, Teachers College, Kyungpook National University, Taegu 702-701, South Korea;Department of Mathematics, Seoul National University, Seoul 151-747, South Korea and Department of Mathematics, Chonnam National University, Kwangju 500-757, Korea.
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 3
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Abstract

This paper studies a preconditioning polynomial spline collocation method for an elliptic differential equation by a finite element stiffness matrix. For which, we first show that the decay rate of the C1 Lagrange polynomial spline increases with increasing degree and second show that the distribution of eigenvalues for the established preconditioning system is well bounded in terms of the number of unknowns for a fixed degree of polynomial spline.