报告人： Prof. Benqi Guo
Approximation Theory in Jacobi-weighted Spaces and Its Application to the h-p FEM with Quasi-uniform Meshes
Approximation to functions in the Jacobi-weighted Sobolev and Besov spaces are analyzed in uniform and robust way for all dimensions. In the framework of these spaces, the approximability of singular functions, including the upper and lower bounds of approximation error, is derived.
The approximability of smooth and singular solutions are applied to the h-p FEM associated with quasi-uniform meshes, which yields the optimal convergence of the h-p FEM with quasi-uniform meshes for elliptic problems on polygonal domains.
报告时间： 2006年7月4日(周二) 下午3:00--4:00