Meshless Method for the Diffusion Problem

Jeong Jae Lee, Hojae Yi, Yeon Jung Bae, Han Joong Kim

Research output: Contribution to conferencePaper

Abstract

Conventional computational methods, such as finite element method or finite difference method, are developed based on fixed meshes, and thus they are inadequate to solve problems, which need an adaptive mesh Meshless methods employ nodes only, so steps for generating adaptive mesh can be eliminated. In this paper the basic theory of meshless method based on Moving Least Square approximation is introduced. And a numerical example of diffusion problem is examined. The paper discusses the applicability of the method.

Original languageEnglish (US)
Pages1331-1345
Number of pages15
StatePublished - Dec 1 2000
Event2000 ASAE Annual International Meeting, Technical Papers: Engineering Solutions for a New Century - Milwaukee, WI., United States
Duration: Jul 9 2000Jul 12 2000

Other

Other2000 ASAE Annual International Meeting, Technical Papers: Engineering Solutions for a New Century
CountryUnited States
CityMilwaukee, WI.
Period7/9/007/12/00

Fingerprint

Least squares approximations
Computational methods
Finite difference method
Finite element method

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Lee, J. J., Yi, H., Bae, Y. J., & Kim, H. J. (2000). Meshless Method for the Diffusion Problem. 1331-1345. Paper presented at 2000 ASAE Annual International Meeting, Technical Papers: Engineering Solutions for a New Century, Milwaukee, WI., United States.
Lee, Jeong Jae ; Yi, Hojae ; Bae, Yeon Jung ; Kim, Han Joong. / Meshless Method for the Diffusion Problem. Paper presented at 2000 ASAE Annual International Meeting, Technical Papers: Engineering Solutions for a New Century, Milwaukee, WI., United States.15 p.
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Lee, JJ, Yi, H, Bae, YJ & Kim, HJ 2000, 'Meshless Method for the Diffusion Problem', Paper presented at 2000 ASAE Annual International Meeting, Technical Papers: Engineering Solutions for a New Century, Milwaukee, WI., United States, 7/9/00 - 7/12/00 pp. 1331-1345.

Meshless Method for the Diffusion Problem. / Lee, Jeong Jae; Yi, Hojae; Bae, Yeon Jung; Kim, Han Joong.

2000. 1331-1345 Paper presented at 2000 ASAE Annual International Meeting, Technical Papers: Engineering Solutions for a New Century, Milwaukee, WI., United States.

Research output: Contribution to conferencePaper

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Lee JJ, Yi H, Bae YJ, Kim HJ. Meshless Method for the Diffusion Problem. 2000. Paper presented at 2000 ASAE Annual International Meeting, Technical Papers: Engineering Solutions for a New Century, Milwaukee, WI., United States.