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Analysis of 2-D Potential Problem with L-shape Domain by p-Convergent Boundary Element Method  

Woo, Kwang-Sung (영남대학교 건설환경공학부)
Jo, Jun-Hyung (한국전력공사 전력연구원)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.22, no.1, 2009 , pp. 117-124 More about this Journal
Abstract
The p-convergent boundary element method has been proposed to analyze two-dimensional potential problem on the basis of high order Legendre shape functions that have different property comparing with the shape functions in conventional boundary element method. The location of nodes corresponding to high order shape function are not defined along the boundary, called by nodeless node, similar to the p-convergent finite element method. As the order of shape function increases, the collocation point method is used to solve linear simultaneous equations. The collocation patterns of p-convergent boundary element method consist of non-symmetric hierarchial or symmetric non-hierarchical. As the order of shape function increases, the number of collocation point increases. The singular integral that appears in p-convergent boundary element has been calculated by special numeric quadrature technique and semi-analytical integration technique. The L-shape domain problem including singularity in the vicinity of reentrant comer is analyzed and the numerical results show that the relative error is smaller than $10^{-2}%$ range as compared with other results in literatures. In case of same condition, the symmetric p-collocation point pattern shows high accuracy of solution.
Keywords
p-convergent BEM; Legendre shape function; collocation point method; non-symmetric hierarchical; symmetric non-hierarchical; potential problem with L-Shape domain;
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Times Cited By KSCI : 2  (Citation Analysis)
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