Nodal Collocation for the P-Convergent Scheme in Boundary Element Technique

Kwang Sung Woo; Won Seok Jang; Yoo Mi Kwon; Jun Hyung Jo

doi:10.4028/www.scientific.net/AMM.405-408.3139

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 405-408Nodal Collocation for the P-Convergent Scheme in...

Nodal Collocation for the P-Convergent Scheme in Boundary Element Technique

Abstract:

The concept of the p-convergent boundary element modeling has been presented to analyze the potential problem with L-shaped domain. The details of the p-convergent boundary element formulation are discussed. These include the equations of nodal collocation for the p-convergent scheme, selection of higher order hierarchical shape functions, techniques for integrating the product of the kernel functions and corresponding shape functions, strategies for selecting collocation points used in approximating the unknowns associated with the higher order shape functions, and program organizations. A numerical example that demonstrates the performance of the p-convergent boundary element formulation is shown with respect to different arrangement of collocation points including both symmetric non-hierarchical pattern and non-symmetric hierarchical pattern.

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Periodical:

Applied Mechanics and Materials (Volumes 405-408)

Pages:

3139-3142

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.405-408.3139

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Online since:

September 2013

Authors:

Kwang Sung Woo*, Won Seok Jang, Yoo Mi Kwon, Jun Hyung Jo

Keywords:

Collocation Point, Hierarchical Shape Function, Kernel Function, Non-Symmetric Hierarchical Pattern, P-Convergent Boundary Element, Potential Problem, Symmetric Non-Hierarchical Pattern

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References

[1] C.A. Brebbia, The Boundary Element Method for Engineers, Second Ed., Pentech Press Ltd. Plymouth, Devon, GB, (1980).

Google Scholar

[2] M.A. Jaswon, G.T. Symm, Integral Methods in Potential Theory and Elastostatics, Academic Press Ltd, London, (1977).

Google Scholar

[3] Whiteman, J. R., and Papamichael, N. (1972) Treatment of harmonic mixed boundary value problems by conformal transformation methods. Angew. Math. Phys. Vol 23, p.655–664.

DOI: 10.1007/bf01593987

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