Summary
We analyze the pseudospectral approximation of fourth order problems. We give convergence results in the one dimensional case. Numerical experiments are shown in two dimensions for the approximation of the rhombic plate bending problem. Eigenvalues and preconditioning are also investigated.
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Work performed in the research program of the Istituto di Analisi Numerica del C.N.R., Pavia (Italy)
The second author has been sponsored by Deutsche Forschungsgemeinschaft, contract He 1624/1-1
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Funaro, D., Heinrichs, W. Some results about the pseudospectral approximation of one-dimensional fourth-order problems. Numer. Math. 58, 399–418 (1990). https://doi.org/10.1007/BF01385633
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DOI: https://doi.org/10.1007/BF01385633