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Treatment of discontinuity in the reproducing kernel element method

Title
Treatment of discontinuity in the reproducing kernel element method
Author
김도완
Keywords
discontinuous reproducing kernel element approximation; interface; weak discontinuity
Issue Date
2005-05
Publisher
JOHN WILEY & SONS LTD
Citation
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 63, No. 2, Page. 241-255
Abstract
A discontinuous reproducing kernel element approximation is proposed in the case where weak disc continuity exists over an interface in the physical domain. The proposed method can effectively take care of the discontinuity of the derivative by truncating the window function and global partition polynomials. This new approximation keeps the advantage of both finite element methods and meshfree methods as in the reproducing kernel element method. The approximation has the interpolation property if the support of the window function is contained in the union of the elements associated with the corresponding node; therefore, the continuity of the primitive variables at nodes on the interface is ensured. Furthermore, it is smooth on each Subregion (or each material) separated by the interface. The major advantage of the method is its simplicity in implementation and it is computationally efficient compared to other methods treating discontinuity. The convergence of the numerical solution is validated through calculations of some material discontinuity problems. Copyright (c) 2005 John Wiley & Sons, Ltd.
URI
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1284http://repository.hanyang.ac.kr/handle/20.500.11754/110706
ISSN
0029-5981; 1097-0207
DOI
10.1002/nme.1284
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > ETC
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