Physically-based mesh generation: automated triangulation of surfaces and volumes via bubble packing
Physically-based mesh generation: automated triangulation of surfaces and volumes via bubble packing
Local bisection refinement for N-simplicial grids generated by reflection
SIAM Journal on Scientific Computing
A recursive approach to local mesh refinement in two and three dimensions
Journal of Computational and Applied Mathematics
Quality local refinement of tetrahedral meshes based on bisection
SIAM Journal on Scientific Computing
Computing
The 4-triangles longest-side partition of triangles and linear refinement algorithms
Mathematics of Computation
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
A 3D refinement/derefinement algorithm for solving evolution problems
Applied Numerical Mathematics - Special issue on numerical grid generation-technologies for advanced simulations
Concrete Math
Locally Adapted Tetrahedral Meshes Using Bisection
SIAM Journal on Scientific Computing
On the adjacencies of triangular meshes based on skeleton-regular partitions
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
The optimal refinement strategy for 3-D simplicial meshes
Computers & Mathematics with Applications
Hi-index | 7.29 |
For any conforming mesh, the application of a skeleton-regular partition over each element in the mesh, produces a conforming mesh such that all the topological elements of the same dimension are subdivided into the same number of child-elements. Every skeleton-regular partition has associated special constitutive (recurrence) equations. In this paper the average adjacencies associated with the skeleton-regular partitions in 3D are studied. In three-dimensions different values for the asymptotic number of average adjacencies are obtained depending on the considered partition, in contrast with the two-dimensional case [J. Comput. Appl. Math. 140 (2002) 673]. In addition, a priori formulae for the average asymptotic adjacency relations for any skeleton-regular partition in 3D are provided.