An improved moving mesh algorithm

We consider an iterative algorithm of mesh optimization for finite element solution, and give an improved moving mesh strategy that reduces rapidly the complexity and cost of solving variational problems. A numerical result is presented for a 2-dimensional problem by the improved algorithm. Foundation item: Supported by the National Natural Science Foundation of China(No. 19771062) Biography: Cheng Jian(1977-), male, Master candidate, research interests: the numerical solution of PDE.