What is a Good Linear Element? Interpolation, Conditioning, and Quality Measures

By Jonathan Richard Shewchuk. International Meshing Roundtable Conference, 2002

534 citations recorded by the source corpus.

How researchers see this paper

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

TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator (2015, methodology): “This leads to conforming Delaunay tetrahedralizations [Murphy et al. 2000; Cohen-Steiner et al. 2004] or constrained Delaunay tetrahedralizations [Shewchuk 2002a; Si 2010].”
Variational tetrahedral meshing (2005, methodology): “Given that one can often observe in applications that the worst element in the domain dictates accuracy and/or efficiency [Shewchuk 2002a], it is clear that great care is required to design the underlying meshes and ensure that they meet the desired quality standards.”
Recent Advances in Remeshing of Surfaces (2008, background): “A highquality mesh is required to minimize numerical errors and singularities that might otherwise arise (see [74]).”
Two Discrete Optimization Algorithms for the Topological Improvement of Tetrahedral Meshes (2002, background): “Many such quality measures are available in the literature [3, 7].”