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For solving linear systems Ax = b, different preconditioned SOR methods have been proposed by many authors. In this paper, a preconditioned AOR iterative method is presented with a new preconditioner, based on the I + S(α) type preconditioning matrices provided by Hadjidjmos et al. and Evans et al.. The corresponding convergence and comparison results are given and some numerical examples are performed...
Curvilinear finite elements are developed employing a second order geometrical mapping and implemented for a set of hierarchical vector basis functions of up to full second order. The development covers the computation of the mass and stiffness matrices and the geometrical transformation from the real curvilinear element to the rectilinear reference element with the basis functions and their curls...
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