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.

引用

页码：450 / 476

页数：27