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Extended MLS Difference Method for Potential Problem with Weak and Strong Discontinuities  

Yoon, Young-Cheol (명지전문대학 토목과)
Noh, Hyuk-Chun (세종대학교 토목환경공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.24, no.5, 2011 , pp. 577-588 More about this Journal
Abstract
This paper provides a novel extended Moving Least Squares(MLS) difference method for the potential problem with weak and strong discontinuities. The conventional MLS difference method is enhanced with jump functions such as step function, wedge function and scissors function to model discontinuities in the solution and the derivative fields. When discretizing the governing equations, additional unknowns are not yielded because the jump functions are decided from the known interface condition. The Poisson type PDE's are discretized by the difference equations constructed on nodes. The system of equations built up by assembling the difference equations are directly solved, which is very efficient. Numerical examples show the excellence of the proposed numerical method. The method is expected to be applied to various discontinuity related problems such as crack problem, moving boundary problem and interaction problems.
Keywords
weak and strong discontinuities; potential problems; moving least squares difference method; jump functions;
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Times Cited By KSCI : 3  (Citation Analysis)
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