Mathematica Notebook for Computing Tetrahedral Finite Element Shape Functions and Matrices for the Helmholtz Equation -- from Wolfram Library Archive

Title

Mathematica Notebook for Computing Tetrahedral Finite Element Shape Functions and Matrices for the Helmholtz Equation

Authors

M. Franco

A. Passaro

Journal / Anthology

IEEE Transactions on Magnetics

Year:

1998

Volume:

Issue:

Page range:

3387-3390

Description

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 Schrödinger equations with anisotropic physical properties.

Subject

Engineering > Electrical Engineering

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