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Abstract: . A new algorithm for the generation of anisotropic, unstructured triangular meshes in two dimensions is described. Inputs to the algorithm are the boundary geometry and a metric that specifies the desired element size and shape as a function of position. The algorithm is an example of what we call pliant mesh generation. It first constructs the constrained Delaunay triangulation of the domain, then iteratively smooths, refines, and retriangulates. On each iteration, a node is selected at... (Update)
Context of citations to this paper: More
.... anisotropic mesh generation in two dimensions, for which the triangles are allowed to vary in size and shape as a function of position [2]. Additional references on the use of particles in implicit surface display and interactive surface design are given in our previous paper...
...Density of mesh points. Anisotropy of connectivity between mesh points, characterized by a d x d symmetric positive definite matrix[12]. Suppose the mesh is used to solve a PDE system defined on [2. Then most of these quantities will determine the properties of the...
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BibTeX entry: (Update)
Frank J. Bossen and Paul S. Heckbert. A pliant method for anisotropic mesh generation. In Proc. of 5th Intl. Meshing Roundtable, pages 63--74, 1996. http://citeseer.nj.nec.com/bossen96pliant.html More
@inproceedings{ bossen96pliant,
author = "Frank J. Bossen and Paul S. Heckbert",
title = "A Pliant Method for Anisotropic Mesh Generation",
booktitle = "5th Intl. Meshing Roundtable",
month = "Oct.",
pages = "63-74",
year = "1996",
url = "citeseer.nj.nec.com/bossen96pliant.html" }
Citations (may not include all citations):254 Computer Simulation of Liquids (context) - Allen, Tildesley - 1987
219 Primitives for the manipulation of general subdivisions and .. (context) - Guibas, Stolfi - 1985
75 Using particles to sample and control implicit surfaces - Witkin, Heckbert - 1994
34 A new and simple algorithm for quality 2-dimensional mesh ge.. (context) - Ruppert - 1993
33 surface interpolation (context) - Lawson - 1977
20 Physically-Based Mesh Generation: Automated Triangulation of.. (context) - Shimada - 1993
20 Long and thin triangles can be good for linear interpolation (context) - Rippa - 1992
16 Adaptive mesh generation for viscous flows using Delaunay tr.. (context) - Mavriplis - 1990
16 Bubble mesh: Automated triangular meshing of non-manifold ge.. - Shimada, Gossard - 1995
16 Anisotropic mesh transformations and optimal error control - Simpson - 1994
15 Laplacian smoothing and Delaunay triangulations (context) - Field - 1988
13 Adaptive remeshing for three-dimensional compressible flow c.. (context) - Peraire, Peiro - 1992
13 Optimal triangular mesh generation by coordinate transformat.. (context) - D'Azevedo - 1991
12 Generation of unstructured grids for viscous flow applicatio.. (context) - Marcum - 1995
12 Adaptivity and mesh generation (context) - Zienkiewicz, Zhu - 1991
11 New progress in anisotropic grid adaptation for inviscid and.. - Castro-Daz, Hecht et al. - 1995
9 Mesh generation - Bern, Plassmann
7 Selective refinement: a new strategy for automatic node plac.. (context) - Frey - 1987
6 On advancing front mesh generation in three dimensions (context) - Moller, Hansbo - 1995
5 Serious Putty: Topological Design for Variational Curves and.. (context) - Welch - 1995
4 Anisotropic mesh generation with particles - Bossen - 1996
4 Generalized Laplacian smoothing of unstructured grids (context) - Hansbo - 1995
2 Technical Report ICASE (context) - Mavriplis, generation - 1995
2 Anisotropic mesh adaptation: Theory (context) - Fortin, Vallet et al. - 1996
2 Concepts from Tensor Analysis and Differential Geometry (context) - Thomas - 1965
1 Coupling flow solvers and grids through an edge-based adapti.. (context) - Vallet, Dompierre et al. - 1996
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