Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes
Abstract
Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a systematic approach to global optimization-based versions of such methods for mixed volume meshes. In particular, we identify efficient smoothing algorithms for certain algebraic mesh quality measures. We also provide explicit constructions of potentially useful smoothing algorithms.
Cite
@article{arxiv.1306.2260,
title = {Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes},
author = {Dimitris Vartziotis and Benjamin Himpel},
journal= {arXiv preprint arXiv:1306.2260},
year = {2013}
}
Comments
17 pages, 7 figures; First revision shows that original transformation is not very useful, but it provides various potentially useful mesh quality measures together with simple geometric element transformations optimizing them, with preliminary tests for planar triangular meshes confirming the expected behavior