Abstract
This chapter discusses applications of the boundary element method (BEM) to engineering problems that can be reduced to boundary value problems for the Laplace or Poisson equation. In particular, the BEM is applied to the Saint–Venant torsion problem for isotropic and anisotropic materials, to the bending of membranes and simply supported plates, to heat conduction, and to the irrotational flow of incompressible fluids. For each of these problems, it provides a computer program and representative examples. For all these problems, the flux q is expressed by a law quite analogous to that of Fourier. Of course, the field function u and the constitutive matrix D have a different physical meaning in each problem.
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