题目：Construction of Smooth Splines over Polygonal Partitions and Its Applications

报告人：Ming-Jun Lai Professor University of Georgia, Georgia, USA

报告时间：6月4日下午 2:30-3:30

地点：1208

摘要：

Over a collection of convex polygons, one would like to construct smooth locally supported basis functions. With GBC(generalized barycentric coordinates), we can construct continuous finite element like functions (degree 1). I shall explain how to use them for constructing continuous locally supported basis functions of higher degree. Furthermore, using Wachspress coordinates, I shall explain how to construct C^1 smooth locally supported basis functions.

In the end, I shall explain how to use them for numerical solution of Poisson and other second order elliptic partial differential equations (in divergence form).