Tuesday, December 20, 2022 3:40PM
ASTC # 615
SeongHee Jeong (Department of Mathematics, Louisiana State University)
Title: C0 Interior Penalty Methods for an Elliptic Distributes Optimal Control Problem with General Tracking and Pointwise State Constraints
Abstract: We consider C0 interior penalty methods for a linear-quadratic elliptic distributed optimal control problem with pointwise state constraints in two spatial dimensions, where the cost function tracks the state at points, curves and regions of the domain. The reduced optimal control problem that only involves the state can be reformulated as a fourth order variational inequality. The discrete problems are quadratic programs with simple box constraints, and hence they can be solved efficiently by the primal-dual active set algorithm.