Luiz Wrobel's The boundary element method. Volume 1, Applications in PDF

By Luiz Wrobel

ISBN-10: 0471720399

ISBN-13: 9780471720393

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The exact solutions are also given in the table. The boundary element (BE) solution would converge at a faster rate to the exact solution if higher order boundary elements were employed.  A 20­noded serendipity element is used for finite element discretization.  Displacements and stresses in internally pressurized thick cylinder. 25 mm.  In the case of boundary element solution, the numerical integration points were concentrated near singularities to achieve better accuracy [63].  (c) Cubic BE discretizations of the gear tooth.

The boundary element (BE) solution would converge at a faster rate to the exact solution if higher order boundary elements were employed.  A 20­noded serendipity element is used for finite element discretization.  Displacements and stresses in internally pressurized thick cylinder. 25 mm.  In the case of boundary element solution, the numerical integration points were concentrated near singularities to achieve better accuracy [63].  (c) Cubic BE discretizations of the gear tooth. Whereas linear BE solutions are poorer than those of FE (finite element), the quadratic BE solutions are seen to be in good agreement with the exact solutions.

41) can, however, be obtained by imposing some normalization procedure [62].  Depending on the type of the source, a number of strategies may be employed to include the effects of the domain term “b”.  Suppose we are required to solve the problem: with uc=−up on Γ.  Internal cells for domain term integration. 50), we see that all the terms are now applied on the boundary only.  (b) BE mesh of the elliptical section.  Solution of stress function for twist of a shaft.  The exact solutions at these internal points are also shown in the table.

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The boundary element method. Volume 1, Applications in thermo-fluids and acoustics by Luiz Wrobel


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