Closed Form Integration of Singular and Hypersingular Integrals in 3D BEM Formulations for Heat Conduction
Joint Authors
Prata, J.
Simões, N.
Tadeu, António
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-03
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The evaluation of the singular and hypersingular integrals that appear in three-dimensional boundary element formulations for heat diffusion, in the frequency domain, is presented in analytical form.
This improves computational efficiency and accuracy.
Numerical integrations using existing techniques based on standard Gaussian integration schemes that incorporate an enormous amount of sampling points are used to verify the solutions of singular integrals.
For the hypersingular integrals the comparison is evaluated by making use of an analytical solution that is valid for circular domains, combined with a standard Gaussian integration scheme for the remaining boundary element domain.
Closed form solutions for cylindrical inclusions (with null temperatures and null heat fluxes prescribed on the boundary) are then derived and used to validate the three-dimensional boundary element formulations.
American Psychological Association (APA)
Tadeu, António& Prata, J.& Simões, N.. 2012. Closed Form Integration of Singular and Hypersingular Integrals in 3D BEM Formulations for Heat Conduction. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029681
Modern Language Association (MLA)
Tadeu, António…[et al.]. Closed Form Integration of Singular and Hypersingular Integrals in 3D BEM Formulations for Heat Conduction. Mathematical Problems in Engineering No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1029681
American Medical Association (AMA)
Tadeu, António& Prata, J.& Simões, N.. Closed Form Integration of Singular and Hypersingular Integrals in 3D BEM Formulations for Heat Conduction. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029681
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029681