Matthew DeVille

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A new Chebyshev pseudospectral algorithm for second-order elliptic equations using finite element preconditioning is proposed and tested on various problems. Bilinear and biquadratic Lagrange elements are considered as well as bicubic Hermite elements. The numerical results show that bilinear elements produce spectral accuracy with the minimum computational(More)
A general multidomain decomposition is proposed for the numerical solution of the 2D incompressible stationary Navier-Stokes equations. The solution technique consists in a Chebyshev orthogonal collocation method preconditioned by a standard Galerkin finite element technique. The preconditioned system is then solved through a Richardson procedure. The(More)
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