A Direct and Indirect Approach to Shape Optimization Using the Boundary Element Method

1990 ◽  
pp. 427-434
Author(s):  
R. L. West ◽  
E. Sandgren
Keyword(s):  
Boundary Element Method ◽  
Shape Optimization ◽  
Boundary Element ◽  
Indirect Approach ◽  
Element Method

Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis

2013 ◽  
Vol 671-674 ◽  
pp. 1614-1618 ◽  
Author(s):  
Pavel A. Akimov
Keyword(s):  
Fourier Series ◽  
Structural Analysis ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Pseudodifferential Operators ◽  
Geometrical Parameters ◽  
Resolving Set ◽  
Indirect Approach ◽  
Operational Formulation ◽  
Element Method

This paper is devoted to so-called indirect discrete-continual boundary element method of structural analysis. Operational formulation of the problem is given. Using fundamental operational relations of indirect approach after construction of corresponding fundamental matrix-function in a special form convenient for problems of structural mechanics and its application resolving set of differential equations with operational coefficients is obtained. The discrete-continual design model for structures with constant physical and geometrical parameters in one direction is offered on the basis of so-called discrete-continual boundary elements. Basic pseudodifferential operators are approximated discretely by Fourier series. Fourier transformations and Wavelet analysis can be applied as well.

Shape optimization in elasticity and elasto-viscoplasticity by the boundary element method

1994 ◽  
Vol 31 (4) ◽  
pp. 533-550 ◽  
Author(s):  
Wei Xin ◽  
Abhijit Chandra ◽  
Leu Liang-Jenq ◽  
Subrata Mukherjee
Keyword(s):  
Boundary Element Method ◽  
Shape Optimization ◽  
Boundary Element ◽  
Element Method
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