ADAPTIVE GRID GENERATION FROM HARMONIC MAPS ON RIEMANNIAN-MANIFOLDS

被引：133
|
作者：
DVINSKY, AS
机构：
[1] Creare Inc., Hanover
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 1991年 / 95卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0021-9991(91)90285-S
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we describe a new method for generation of solution adaptive grids based on harmonic maps on Riemannian manifolds. The reliability of the method is assured by an existence and uniqueness theorem for one-to-one maps between multidimensional multiconnected domains. We formulate an adaptive Riemannian metric consistent with this theorem. Several examples demonstrating application of the developed procedure are provided. © 1991.
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页码：450 / 476
页数：27
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