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

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 C-1 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. (C) 2002 Elsevier Science Inc. All rights reserved.