Research Article
Jun 1976
Rectangular Finite Element for Field Problems
Publication: Journal of the Engineering Mechanics Division
Volume 102, Issue 3
Abstract
A rectangular finite element suitable for the solution of a class of field problems is presented. The approximating functions satisfy the governing partial differential equation within each element, and are a combination of a polynomial and four trigonometric series, known in terms of nodal values and trigonometric series coefficients on the edges of the element. The degrees-of-freedom of the element may be readily varied to give an indication of convergence to the exact solution. As the governing equation is satisfied within each element, large elements, sometimes semi-infinite may be used. Two examples are considered, indicating that in those problems where this element can be used, engineering accuracy can be obtained with the solution of fewer equations than with other numerical methods.
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Published In
Journal of the Engineering Mechanics Division
Volume 102 • Issue 3 • June 1976
Pages: 431 - 445
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: Jun 1976
Published online: Feb 3, 2021
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Authors
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Bruce W. Golley, AM.ASCE
Lect. in Civ. Engrg., Faculty of Military Studies, Univ. of New South Wales, Duntroon, Australia
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.