Parallel Element-by-Element Spectral Multilevel Techniques
نویسندگان
چکیده
A parallel element-by-element ,nultilevel strategy is developed and applied to two nonlinear, coupled PDE system.•. Spectral (p) finite elements are used to discretize the lems and the multilevel solution strategy uses projections between bases of different degree (level). The projection methods for the p-multilevel schemes are developed and analyzed for Lagrange and hierarchic bases. The approach is implemented in a parallel element-by-element algorithm, which is particularly suitable for the spectral finite element method. Results are presented for two candidate nonlinear elliptic transport problems: the augmented driftdiffusion equations of semiconductor device modeling and the stream function-vorticity equations of incompressible fluid dynamics.
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