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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2005.5
- 수록면
- 129 - 130 (2page)
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The discrete Laplacian operator is constructed using the meshfree point collocation method which will be called the strong meshfree Laplacian operator. To define the strong meshfree Laplacian operator, we use the generalized moving least square approximation[4,5,6], which can calculate the approximated derivatives of shape functions. Some types of the locally layered node distribution are defined in this paper and two specific domains are constructed on which we can distribute the locally layered nodes. On such types of nodes, the discrete maximum principle can be shown to hold through the representation formula for the strong meshfree Laplacian operator. The discrete maximum principle, together with the reproducing property of the meshfree approximations, results in discrete a priori estimate for the strong meshfree Laplacian operator on the nodal solution space. Furthermore, the a priori est ... 전체 초록 보기
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UCI(KEPA) : I410-ECN-0101-2009-410-014678265