Automatic triangular mesh generation of trimmed parametric surfaces for finite element analysis☆
References (34)
A generic Delaunay triangulation algorithm for finite element meshes
Advances in Engineering Software
(1991)- et al.
Mesh generation with adaptive finite element analysis
Advances in Engineering Analysis
(1991) - et al.
Delaunay triangulation of arbitrarily shaped planar domains
Computer Aided Geometric Design
(1991) - et al.
Triangulation of trimmed surfaces in parametric spaces
Computer-Aided Design
(1992) - et al.
Computational methods for physically-based FE mesh generation
Automatic generation of well structured meshes using medial axis and surface subdivision
- et al.
Paving: a new approach to automated quadrilateral mesh generation
International Journal for Numerical Methods in Engineering
(1991) Automatic triangulation of arbitrary planar domains for the finite element method
International Journal for Numerical Methods in Engineering
(1974)- et al.
Composite mappings for planar mesh generation
International Journal for Numerical Methods in Engineering
(1987) Selective refinement: a new strategy for automatic node placement in graded triangular meshes
International Journal for Numerical Methods in Engineering
(1987)
Mesh relaxation: a new technique for improving triangulations
International Journal for Numerical Methods in Engineering
Shape interrogation by medial axis transform for automated analysis
A mesh generator for automatically subdividing irregular polygons into quadrilaterals
IEEE Trans. Magn.
Automatic conversion of triangular finite element meshes to quadrilateral elements
International Journal for Numerical Methods in Engineering
Adaptive procedures for nonlinear elastic and elasto-plastic finite element analysis
Generation of three-dimensional unstructured grids by the advancing-front method
Three-dimensional automatic unstructured grid generation based on Delaunay tetrahedrization
Cited by (108)
Digital and automatic design of free-form single-layer grid structures
2022, Automation in ConstructionCitation Excerpt :Many researchers have also utilized some force-based methods to generate grids. Shimada et al. [18] introduced a bubble-like approach for meshing trimmed parametric surfaces for finite element analysis. They viewed nodes as the centers of packed bubbles and optimized their placement iteratively by solving the bubbles' force equilibrium.
Adaptive surface mesh remeshing based on a sphere packing method and a node insertion/deletion method
2021, Applied Mathematical ModellingA novel progressive grid generation method for free-form grid structure design and case studies
2021, Journal of Building EngineeringA triangular grid generation and optimization framework for the design of free-form gridshells
2019, CAD Computer Aided DesignCitation Excerpt :They used the list of points spanning the domain to define the centers of packed bubbles, and the bubble locations were then optimized by iteratively solving equations of motion. They later extended the bubble-packing method by generating grids on trimmed parametric surfaces for finite element modeling [18]. Zheleznyakova et al. [19,20] also proposed an approach to generate grids for finite element applications, but based on the concept of molecular dynamic modeling.
- ☆
This work was partly supported by IBM Japan, Ltd. and Ford Motor Co.