Journal article
삼각형 메쉬 상에서의 미분 연산자와 그 응용
한국CDE학회 논문집, Vol.20(1), pp.44-54
03/2015
DOI: 10.7315/CADCAM.2015.044
Abstract
Solving partial differential equations (PDEs) on a manifold setting is frequently faced problemin CAD, CAM and CAE. However, unlikely to a regular grid, solutions for those problems on atriangular mesh are not available in general, as there are no well-established intrinsic differentialoperators. Considering that a triangular mesh is a powerful tool for representing a highlycomplicatedgeometry, this problem must be tackled for improving the capabilities of manygeometry processing algorithms. In this paper, we introduce mathematically well-defined differentialoperators on a triangular mesh setup, and show some examples of their applications.
Through this, it is expected that many CAD/CAM/CAE application will be benefited, as it providesa mathematically rigorous solution for a PDE problem which was not available before. KCI Citation Count: 0
Details
- Title: Subtitle
- 삼각형 메쉬 상에서의 미분 연산자와 그 응용
- Creators
- 백승엽 - (서울대학교)감동욱 - (서울대학교)이건우 - (서울대학교)
- Resource Type
- Journal article
- Publication Details
- 한국CDE학회 논문집, Vol.20(1), pp.44-54
- Publisher
- 한국CDE학회
- DOI
- 10.7315/CADCAM.2015.044
- ISSN
- 1226-0606
- eISSN
- 2288-6036
- Alternative title
- Differential Operators on a Triangular Mesh and Their Applications
- Language
- Korean
- Date published
- 03/2015
- Academic Unit
- Electrical and Computer Engineering; Industrial and Systems Engineering; Radiation Oncology
- Record Identifier
- 9984047790902771
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