Title | ||
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Preconditioning C1 Lagrange polynomial spline collocation method of elliptic equations by finite element method |
Abstract | ||
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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. |
Year | DOI | Venue |
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2002 | 10.1016/S0096-3003(01)00218-1 | Applied Mathematics and Computation |
Keywords | Field | DocType |
finite element method,collocation method,eigenvalues,differential equation,elliptic equation,finite element,decay rate | Spline (mathematics),Lagrange polynomial,Mathematical optimization,Thin plate spline,Spline interpolation,Hermite spline,Mathematical analysis,Orthogonal collocation,Smoothing spline,Matrix polynomial,Mathematics | Journal |
Volume | Issue | ISSN |
132 | 2-3 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Sang Dong Kim | 1 | 35 | 9.22 |
Byeong Chun Shin | 2 | 7 | 2.56 |