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A GEOMETRIC FEATURE FOR FINITE ELEMENT SCHEMES 被引量:1
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作者 Zhan Yinwei Beijing Normal University, China Permanent address: Dr. Zhan Yinwei Institute of Mathematics Shantou University, Shantou 515063 Guangdong, China 《Analysis in Theory and Applications》 1994年第2期83-91,共9页
In this note we characterize the geometric facture of a (μ, r, k) - FES. Namely, for a C~μ triangular in- terpolation schcme with C^r vertex data, any angle of the macrotriangle must be divided into at least (μ + 1... In this note we characterize the geometric facture of a (μ, r, k) - FES. Namely, for a C~μ triangular in- terpolation schcme with C^r vertex data, any angle of the macrotriangle must be divided into at least (μ + 1)/ (r + 1 - μ) parts. 展开更多
关键词 FES MATH A GEOMETRIC feature FOR FINITE element SCHEMES IIC WANG
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METHOD FOR ADAPTIVE MESH GENERATION BASED ON GEOMETRICAL FEATURES OF 3D SOLID 被引量:3
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作者 HUANG Xiaodong DU Qungui YE Bangyan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2006年第3期330-334,共5页
In order to provide a guidance to specify the element size dynamically during adaptive finite element mesh generation, adaptive criteria are firstly defined according to the relationships between the geometrical featu... In order to provide a guidance to specify the element size dynamically during adaptive finite element mesh generation, adaptive criteria are firstly defined according to the relationships between the geometrical features and the elements of 3D solid. Various modes based on different datum geometrical elements, such as vertex, curve, surface, and so on, are then designed for generating local refined mesh. With the guidance of the defmed criteria, different modes are automatically selected to apply on the appropriate datum objects to program the element size in the local special areas. As a result, the control information of element size is successfully programmed covering the entire domain based on the geometrical features of 3D solid. A new algorithm based on Delatmay triangulation is then developed for generating 3D adaptive finite element mesh, in which the element size is dynamically specified to catch the geometrical features and suitable tetrahedron facets are selected to locate interior nodes continuously. As a result, adaptive mesh with good-quality elements is generated. Examples show that the proposed method can be successfully applied to adaptive finite element mesh automatic generation based on the geometrical features of 3D solid. 展开更多
关键词 Adaptive mesh generation Geometrical features Delaunay triangulation Finite element method
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