A new technique of numerical quadrature especially suited for quadrilateral and hexahedron p-version finite element matrices is presented. This new technique separates the integrand into two parts, and numerically operates on each part separately. The objective of this scheme is to minimize the computational cost of integrating the entire element matrix as opposed to minimizing the cost of integrating a single function, The efficiency of the new technique is compared with Gaussian quadrature and found to take a small fraction of the computational effort.
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Department of Computational Mathematics and Cybernetics, Moscow State University, MoscowDepartment of Computational Mathematics and Cybernetics, Moscow State University, Moscow
Zolotareva N.D.
Nikolaev E.S.
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Department of Computational Mathematics and Cybernetics, Moscow State University, MoscowDepartment of Computational Mathematics and Cybernetics, Moscow State University, Moscow