Preconditioning \(C^ 1\) Lagrange polynomial spline collocation method of elliptic equations by finite element method.

DOI10.1016/S0096-3003(01)00218-1zbMath1048.65117MaRDI QIDQ1855861

Byeong Chun Shin, Sang Dong Kim

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

finite element methodpreconditioningelliptic equationspolynomial spline collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Cites Work

• Preconditioning second-order elliptic operators: Condition numbers and the distribution of the singular values
• Spectral approximation for elliptic boundary value problems
• Collocation methods for parabolic partial differential equations in one space dimension
• Exponential decay of \(C^ 1\)-cubic splines vanishing at two symmetric points in each knot interval
• Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
• Preconditioning cubic spline collocation discretizations of elliptic equations
• Preconditioning and Boundary Conditions
• Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
• Preconditioning collocation method using quadratic splines with applications to 2^nd-order separable elliptic equations
• Collocation at Gaussian Points
• A practical guide to splines.
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