scholarly journals The boundary element method for the determination of nonlinear boundary conditions in heat conduction

Author(s):  
D. Lesnic ◽  
T. T. M. Onyango ◽  
D. B. Ingham
2007 ◽  
Author(s):  
Markus Träuble ◽  
Carolina Nunes Kirchner ◽  
Gunther Wittstock ◽  
Theodore E. Simos ◽  
George Maroulis

1993 ◽  
Vol 01 (04) ◽  
pp. 455-468 ◽  
Author(s):  
Z. S. CHEN ◽  
G. HOFSTETTER ◽  
H. A. MANG

A 3D boundary element method for the determination of the acoustic eigenfrequencies of car compartments, characterized by a unified treatment of Robin, Dirichlet, and Neumann boundary conditions, is presented. The drawback of frequency-dependent matrices of the eigenvalue problem is overcome by means of the Particular Integral Method. Thus, the standard numerical algorithms for the extraction of eigenvalues can be applied. The numerical study contains both a comparison of numerical results with analytical solutions of a simple problem with different types of boundary conditions and a comparison of numerical results of a large-scale problem with respective numerical results, computed on the basis of the finite element method. In addition, for the latter example, different numerical algorithms for the eigenvalue extraction are examined.


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