PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab
By Cameron Talischi, Glaucio H. Paulino, Anderson Pereira, Ivan Fabio Mota de Menezes. 2012
665 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computer Graphics and Computer-Aided Design
View Paper: https://www.semanticscholar.org/paper/584d2ef5201f9fc4f00f12fe41ff995f18628e79
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- E. Ooi
- Francis Tin-Loi
- Chongmin Song
- Glaucio H. Paulino
- L. Beirão da Veiga
- Giuseppe Vacca
- Alessandro Russo
- Cameron Talischi
In Computer Graphics and Computer-Aided Design
- L. Beirão da Veiga
- Glaucio H. Paulino
- Giuseppe Vacca
- Natarajan Sukumar
- Alessandro Russo
- Gianmarco Manzini
- Arun L. Gain
- Cameron Talischi
Citations in the corpus
- Virtual element method for quasilinear elliptic problems (2017, positive): “VEM implementation within the Distributed and Unied Numerics Environment (DUNE) library [12], presented in [15]. A representative example is shown in Figure 1. The polygonal mesh was generated using [27]. We use xed point iterations analysed in Section 4 to solve the nonlinear system resulting from ”
- An efficient 3D topology optimization code written in Matlab (2014, positive): “More recently, Talischi et al. (2012a, b) introduced PolyMesher and PolyTop for density-based topology optimization using polygonal finite elements.”
- Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection (2013, positive): “For example, recently developed algorithms utilize Voronoi diagrams to generate polygonal and polyhedral grids with desired regularity and size distribution for complex geometries [42, 17, 10].”
- Virtual element methods for parabolic problems on polygonal meshes (2015, methodology): “For the generation of the Voronoi meshes, we used the code Polymesher [18].”
- Some basic formulations of the virtual element method (VEM) for finite deformations (2017, methodology): “16 (b), which is generated by “PolyMesher” [48].”
- Unstructured polygonal meshes with adaptive refinement for the numerical simulation of dynamic cohesive fracture (2014, methodology): “The unstructured polygonal meshes in this work are generated using the PolyMesher algorithm (Talischi et al. 2012), which discretizes a domain with a centroidal Voronoi tessellation (CVT).”
- hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes (2016, neutral): “[48]; a typical mesh, consisting of 256 elements, is depicted in Figure 1.”
- Extended virtual element method for the Laplace problem with singularities and discontinuities (2019, methodology): “In the analyses, meshes consisting of squares, distorted quadrilaterals and general polygons are considered; polygonal meshes have been generated from Voronoi diagrams [33].”