Mesh improvement by minimizing a weighted sum of squared element volumes

@inproceedings{Renka2014MeshIB,
  title={Mesh improvement by minimizing a weighted sum of squared element volumes},
  author={Robert J. Renka},
  year={2014}
}
We describe a new mesh smoothing method that consists of minimizing the sum of squared element volumes over the free vertex positions. To the extent permitted by the fixed vertices and mesh topology, the resulting mesh elements have uniformly distributed volumes. In the case of a triangulation, uniform volume implies well-shaped triangles. If a graded mesh… CONTINUE READING