Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids

By Natarajan Sukumar. 2003

84 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b672a4430ff3e657da6261d71a73b332dda6b288

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Natarajan Sukumar
2. A. Tabarraei
3. John E. Bolander
4. Jon F. Mohle
5. M. Yip
6. E. Ooi
7. Stéphane P.A. Bordas
8. S. Mousavi

In Mechanics of Materials

1. Natarajan Sukumar
2. A. Tabarraei
3. John E. Bolander
4. Jon F. Mohle
5. M. Yip
6. Glaucio H. Paulino
7. Stéphane P.A. Bordas
8. S. Mousavi

Citations in the corpus

• Automated Modeling of Three‐Dimensional Structural Components Using Irregular Lattices (2005, methodology): “Within computational mechanics, Voronoi diagrams have been used to represent material microstructure, as part of a multiscale analysis of heterogeneous materials (Ghosh and Moorthy, 1995), and for modeling diffusion processes on unstructured grids (Sukumar, 2003).”
• Conforming polygonal finite elements (2004, background): “The Laplace interpolant is simpler and also computationally attractive vis-à-vis the Sibson interpolant, and in addition, it also provides a natural weighting (scaling) function for irregularly spaced nodes [32, 33].”