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Single Level Adaptive hp-Refinement using Integrals of Legendre Shape Function  

Jo, Jun-Hyung (한국전력공사 전력연구원 녹색성장연구소)
Yoo, Hyo-Jin (영남대학교 건설시스템공학과)
Woo, Kwang-Sung (영남대학교 건설시스템공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.23, no.3, 2010 , pp. 331-340 More about this Journal
Abstract
The basic theory and application of new adaptive finite element algorithm have been proposed in this study including the adaptive hp-refinement strategy, and the effective method for constructing hp-approximation. The hp-adaptive finite element concept needs the integrals of Legendre shape function, nonuniform p-distribution, and suitable constraint of continuity in conjunction with irregular node connection. The continuity of hp-adaptive mesh is an important problem at the common boundary of element interface. To solve this problem, the constraint of continuity has been enforced at the common boundary using the connectivity mapping matrix. The effective method for constructing of the proposed algorithm has been developed by using hierarchical nature of the integrals of Legendre shape function. To verify the proposed algorithm, the problem of simple cantilever beam has been solved by the conventional h-refinement and p-refinement as well as the proposed hp-refinement. The result obtained by hp-refinement approach shows more rapid convergence rate than those by h-refinement and p-refinement schemes. It it noted that the proposed algorithm may be implemented efficiently in practice.
Keywords
adaptive hp-refinement; continuity of boundary; limit value approach; mapping matrix; nonuniform p-level;
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Times Cited By KSCI : 2  (Citation Analysis)
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