Abstract

A method for constructing a quasi-isometric parametrization of a plane curvilinear quadrilateral is described. The parametrization is defined using a generalized Dirichlet variational functional. Based on its minimization, an algorithm for generating grids that implement a quasi-isometric parametrization of quadrilaterals with curved, but sufficiently smooth boundaries is developed. Primary attention is given to the numerical features of the proposed approach.

中文翻译：

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二维曲线域的准等距参数化数值方法

摘要

描述了一种构造平面曲线四边形的准等距参数化的方法。使用广义Dirichlet变分函数定义参数化。基于其最小化，开发了一种生成网格的算法，该算法实现了具有弯曲但足够平滑的边界的四边形的准等距参数化。主要关注所提出方法的数值特征。