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Solution of the Three Dimensional Scalar Helmholtz Equation by a Finite Element Formulation
Author(s) -
Gass N.
Publication year - 1977
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19770570206
Subject(s) - curvilinear coordinates , helmholtz equation , finite element method , mathematical analysis , coordinate system , laplace's equation , mathematics , scalar (mathematics) , mixed finite element method , extended finite element method , poisson's equation , partial differential equation , geometry , physics , boundary value problem , thermodynamics
A finite element formulation for solving the scalar three dimensional Helmholtz, Poisson and Laplace equations, for symmetric as well as unsymmetric cases, is developed. The governing finite element equations are valid in any orthogonal flat or curvilinear coordinate system. By specifying the metric of a particular problem all equations will be put automatically in the proper coordinate system.