A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

Author:

Bialecki Bernard,Karageorghis Andreas

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference17 articles.

1. Spectral methods for the approximation of fourth-order problems: Application to the stokes and Navier-Stokes equations

2. C. Bernardi and Y. Maday, Some spectral approximations of one-dimensional fourth order problems, in:Progress in Approximation Theory, P. Nevai and A. Pinkus Eds., Academic Press, San Diego (1991), 43-116.

3. C. Bernardi and Y. Maday, Spectral methods, inHandbook of Numerical Analysis, Vol. V, Part 2: Techniques of Scientific Computing, P.G. Ciarlet and J.L. Lions Eds., North-Holland, Amsterdam (1997) 209-485.

4. Some spectral approximations of two-dimensional fourth-order problems

5. B. Bialecki, A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles. submitted.

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