Spectral element approximations based on triangular elements and the so-called Fekete points of the triangle have been recently developed. p-Multigrid methods offer an interesting way to solve efficiently the resulting ill-conditionned algebraic system. For elliptic problems it is shown that a well-chosen restriction operator and a good set up of the coarse grid matrices may lead to valuable results even with a standard Gauss-Seidel smoother.
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