**数学与系统科学研究院**

**计算数学所学术报告**

**报告人**：
Shi Dongyang

Zhengzhou University

**报告题目**
Development on Anisotropic FEMs

**Abstract:**
Regular assumption of the meshes plays a very important role in the conventional FEMs analysis. However, the solution of the elliptic boundary value problems may have anisotropic behavior in parts of the domain. That means that the solution varies significantly only in certain directions. To consider such cases it is an obvious idea to reflect this anisotropy in the discretization by using anisotropic meshes with a small mesh size in the direction of the rapid varition of the solution and a large mesh size in perpendicular direction. Anisotropic meshes can also be advantageous from saving computational cost point of view.

In this report we will discuss some new developments of the studies on Anisotropic FEMs, which include the super-convergence analysis of second order and fourth order problems, the applications of anisotrapic finite elements to a second order variatonal inequality, planar linear elasticity with the pure displacement boundary value problem and stokes equations.

**报告时间**：2004年4月22日 下午4：00

**报告地点**：科技综合楼三层报告厅