ISSN:
1432-0924
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract Considerable work has been done by many investigators recently in the use of particular solution collocation methods which effectively replace the domain integrals by BEM solutions with modified boundary conditions. This technique enables us to avoid the domain integral which is the major advantage of BEM formulation. For an arbitrary distributed inhomogeneous domain term one idea is to choose a series of basis functions for which a particular solution can be found without difficulty, and then use these basis functions to interpolate the inhomogeneous term. It was pointed out that the success of the proposed particular solution method is strongly dependent on the choice of the basis function (Nardini and Brebbia, 1985; Balaš and Sládeks, 1989). Tang and Brebbia (1989) compared the radial basis function with Fourier series basis function (Gründemann, 1989) and obtained the same conclusion. We are not aware of any mathematical analysis on this topic. In the paper presented here, a mathematical error analysis for thermoelasticity is done. The examples show that if there is a domain source distribution or the problem is a transient thermal conduction problem, the boundary data only is not sufficient to define the problem. In this case, the domain collocation points are very important for correct and accurate solutions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00350703
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