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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

MATHEMATICA notebook for computing tetrahedral finite element shape functions and matrices for the Helmholtz equation

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Author(s):
Franco, M. A. R. ; Passaro, A. ; Machado, J. M.
Total Authors: 3
Document type: Journal article
Source: IEEE Transactions on Magnetics; v. 34, n. 5, p. 3387-3390, Sept. 1998.
Field of knowledge: Engineering - Electrical Engineering
Abstract

A MATHEMATICA notebook to compute the elements of the matrices which arise in the solution of the Helmholtz equation by the finite element method (nodal approximation) for tetrahedral elements of any approximation order is presented. The results of the notebook enable a fast computational implementation of finite element codes for high order simplex 3D elements reducing the overheads due to implementation and test of the complex mathematical expressions obtained from the analytical integrations. These matrices can be used in a large number of applications related to physical phenomena described by the Poisson, Laplace and Schrodinger equations with anisotropic physical properties. (AU)