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Structural analogies for scalar field problems
Author(s) -
Everstine Gordon C.
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170313
Subject(s) - laplace's equation , helmholtz equation , scalar field , poisson's equation , mathematics , electric field integral equation , heat equation , partial differential equation , wave equation , mathematical analysis , finite element method , scalar (mathematics) , field (mathematics) , electromagnetic wave equation , physics , electromagnetic field , boundary value problem , mathematical physics , geometry , optical field , pure mathematics , thermodynamics , quantum mechanics
This paper describes how general‐purpose finite element structural analysis computer programs can be used, without modification, to solve various scalar field equations such as the wave equation, the Helmholtz equation, Laplace's equation, Poisson's equation, the heat equation and the telegraph equation, as well as mixed field problems (such as coupled structural‐acoustic problems) which involve these equations.

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