Abstract
This work considers the effect of the choice of finite element basis on the conditioning and iterative solution of the algebraic systems obtained using high degree finite elements (p-methods). This issue is fundamental to the performance ofp-methods and to the increased use of iterative solution techniques both for standard finite element analysis and also in adaptivep solutions. The central ideas also apply to high degree spectral methods (global expansion methods).
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Carey, G.F., Barragy, E. Basis function selection and preconditioning high degree finite element and spectral methods. BIT 29, 794–804 (1989). https://doi.org/10.1007/BF01932746
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DOI: https://doi.org/10.1007/BF01932746