A Stabilized Chebyshev-galerkin Approach for the Biharmonic Operator
نویسنده
چکیده
We propose an eecient implementation of the Chebyshev Galerkin spectral method for the biharmonic operator. This discretization leads to banded matrices which, compared with other methods of the same type, are also better conditioned. The eeciency of the method is illustrated on the Orr-Sommerfeld eigenvalue problem, where an improved convergence can be observed and the spurious eigenvalues are removed.
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