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by C. A. Brebbia
Pages: 404 pages
Publisher: Butterworth-Heinemann Ltd (August 1981)
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Part of the Boundary Elements book series (BOUNDARY, volume 8. Brebbia C. Mercy A. Use of boundary elements as a computer aided design tool.
Part of the Boundary Elements book series (BOUNDARY, volume 8). Abstract. The advanced mathematics involved in boundary methods of analysis are exploited by BEASY to of fer exciting advantages over conventional finite element programs. BEASY of fers engineers simple and easily learnt data preparation, significant reductions in mesh generation time and improved accuracy of results. Computational Methods and Experimental Measurements, 1986, Proceedings, Springer-Verlag.
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A new boundary element formulation for linear elasticity problems is presented in this paper. The extension of the Boundary Element Method (BEM) to axisymmetric elastic problems was first investigated by Mayr1 and in particular by Cruse et a., who extended the ‘fictitious load’ approach to the more general BEM approach by using the fundamental solution developed by Kermanidis3.
Most of the new work has concentrated on the solution of non-linear and time dependent problems and the development of numerical techniques to increase the efficiency of the method. Chapter 1 of this Volume deals with the solution of non-linear potential problems, for which the diffusivity coefficient is a function of the potential and the boundary conditions are also non-linear.
Affiliations and Expertise. Computational Mechanics Institute and University of Southampton.
Approximate methods include weighted residual techniques, weak formulations, the inverse formulation, and boundary methods. The text also explains Laplace's equation, indirect formulation, matrix formulation, Poisson's equation, and the Helmholtz equation. Affiliations and Expertise.
The boundary element method (BEM) is a numerical computational method of solving linear partial differential equations which have been formulated as integral equations (. in boundary integral form). including fluid mechanics, acoustics, electromagnetics (Method of Moments), fracture mechanics, and contact mechanics. The integral equation may be regarded as an exact solution of the governing partial differential equation
The boundary element method originated at Southampton University from previous work on classical integral equations and finite elements.
The boundary element method originated at Southampton University from previous work on classical integral equations and finite elements. The new method has the advantages of both techniques, that is, it reduces the dimensions of the problem by one as boundary integral equations and it allows for complex surface elements to define the external surface of the domain. It represents an advance over classical finite elements and overcomes many of the main disadvantages such as the difficulty of defining with accuracy domains extending to infinity, having to solve large systems of equations and the.
The book contains papers on Meshless techniques; Advanced formulations; Dual reciprocity method; Computational issues; Fluid mechanics applications; Heat and mass transfer; Plates and shells; Wave ; Damage mechanics and fracture; Electrical engineering and electromagnetics; and Inverse problems.