报告人：Cheng Wang 教授 University of Massachusetts, Dartmouth
报告时间：2025年3月25日15:00-17：00
报告地点：红瓦楼826
报告内容简介：The unique solvability analysis and error estimate of the Lagrange multiplier approach for gradient flows is theoretically analyzed. We identify a necessary and sufficient condition that has to be satisfied for the nonlinear algebraic equation arising from the original Lagrange multiplier approach to admit a unique solution in the neighborhood of its exact solution. In turn, a modified Lagrange multiplier approach is proposed so that the computation can continue even if the aforementioned condition is not satisfied. Using Cahn-Hilliard equation as an example, we rigorously establish the unique solvability analysis and optimal error estimates of a second-order Lagrange multiplier scheme assuming this condition and that the time step size is sufficiently small.
报告人简介：Cheng Wang，University of Massachusetts Dartmouth（UMassD，美国麻省大学达特茅斯分校）数学系教授。2000年博士毕业于Temple University，导师为Jian-Guo Liu教授。2000-2003年于Indiana University从事博士后研究工作（Zorn postdoc），合作导师为Roger Temam与Shouhong Wang。2003-2008年在University of Tennessee at Knoxvill担任助理教授。2008年进入UMassD任教至今。Cheng Wang教授的研究领域为偏微分方程的稳定高阶算法机器数值分析。已发表70余篇论文，引用达1800余次，多次入选ESI高被引论文库。担任国际期刊Numerical Mathematics: Theory, Methods and Applications的编委。
报告邀请人：严阅