Axisymmetric Potential Problems
Potential problems governed by either Laplace or Poisson type differential equations form an important class of engineering problems, such as torsion, ideal fluid flow, diffusion and steady-state heat conduction. The use of numerical techniques such as the finite difference method and the FEM is now widespread in such problems. This chapter presents the BIE analytical and numerical formulations for axisymmetric potential problems governed by Laplace’s equation. The differential equations applicable throughout the solution domain are transformed into integral equations over the boundary, which is discretised into isoparametric quadratic line elements.
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