报告题目：On the 2k-th order of convergence of the C0-Pk-spline finite element method

报 告 人：张上游教授（University of Delaware）

报告时间：2020年1月11日  15:00

报告地点：格物楼307

报告摘要：

The standard C0-P1 finite element solution converges at order 2 in L2 norm, and at order 2 (superconvergence) also in H1 norm. But the standard C0-Pk finite element solution converges at order k plus 1 in L2 norm, and at order k (no superconvergence) in H1 norm. It is proved that the C0-Pk spline finite element solution converges at order 2k in both L2 norm and H1 norm, i.e., extending the C0-P1 finite element result to any polynomial degree k. The novelty in the proof is an unconventional superconvergence analysis using eigenvalue approximation error estimate.