2024年06月23日 星期日 登录 EN

学术活动
Finite Element Methods for Least-Squares Problems
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报告人:
Susanne C. Brenner, Professor, Louisiana State University
邀请人:
Weiying Zheng, Professor
题目:
Finite Element Methods for Least-Squares Problems
时间地点:
9:00-10:00 July 22 (Monday) 2024, N204
摘要:

Finite dimensional linear and nonlinear least-squares problems appear in data fitting and the solution of nonlinear equations. In this talk I will present some recent results for the infinite dimensional analogs of such problems.  They include (i) a general framework for solving distributed elliptic optimal control problems with pointwise state constraints by finite element methods originally designed for fourth order elliptic boundary value problems, (ii) a multiscale finite element method for solving distributed elliptic optimal control problems with rough coefficients and pointwise control constraints, and (iii) a convexity enforcing nonlinear least-squares finite element method for solving the Monge-Ampere equation.