@Article{CiCP-1-276,
author = {W. Huang},
title = {Mathematical Principles of Anisotropic Mesh Adaptation},
journal = {Communications in Computational Physics},
year = {2006},
volume = {1},
number = {2},
pages = {276--310},
abstract = {<p style="text-align: justify;">Mesh adaptation is studied from the mesh control point of view. Two
principles, equidistribution and alignment, are obtained and found to be necessary and
sufficient for a complete control of the size, shape, and orientation of mesh elements.
A key component in these principles is the monitor function, a symmetric and positive
definite matrix used for specifying the mesh information. A monitor function is defined
based on interpolation error in a way with which an error bound is minimized on a mesh
satisfying the equidistribution and alignment conditions. Algorithms for generating
meshes satisfying the conditions are developed and two-dimensional numerical results
are presented.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7958.html}
}