Collocation finite element and spectral methods for one dimensional biharmonic equations

DOI10.1080/00207169508804960zbMath0962.65067OpenAlexW2046031015MaRDI QIDQ4489988

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Publication date: 31 May 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169508804960

zbMATH Keywords

collocation-spectral methodscollocation-finite element methodone-dimensional biharmonic equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Quintic splines solutions of a class of contact problems
• An iterative algorithm for nonlinear variation inequalities
• Collocation with Quadratic and Cubic Splines
• Linear dependence relations for polynomial splines at midknots
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
• Error estimates for the finite element solutions of variational inequalities

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