Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis
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.
Yong Huang, Tai Bao and Hong Wang
P. A. Akimov, "Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis", Advanced Materials Research, Vols. 671-674, pp. 1614-1618, 2013