Complex boundary integral equations (Fredholm-type regular or Cauchy-type singular or even Hadamard-Mangler-type hypersingular) have been used for the numerical solution of general plane isotropic elasticity problems. The related Muskhelishvili and, particularly, Lauricella-Sherman equations are fam
On the computation of the derivatives of potentials on a boundary by using boundary-integral equations
โ Scribed by A. Sellier
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 306 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
This work presents a new recursion scheme to compute the cartesian derivatives of potentials on the smooth surface of a connected solid. The advocated strategy solely appeals to boundary-integral equations and a very few informations regarding the surface geometry. The whole algorithm is carefully tested against analytical solutions both for interior and exterior problems by implementing a collocation points method.
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We present the integrated-by-parts version of the time discontinuous Galerkin least-squares ยฎnite element formulation for the solution of the unsteady compressible NavierยฑStokes equations for three dimensional problems involving moving boundaries and interfaces. The deformation of the spatial domain