ME 397 (unique number = 19177) CAM 397 (unique number = 67603) Computational Optimization of Systems Governed by Partial Differential Equations Instructor: Omar Ghattas (omar@ices.utexas.edu; www.ices.utexas.edu/~omar) Office: ACES 5.236 Phone: 2-4304 Meeting time: Mon/Wed, 4-6pm (not a typo) Location: RLM 5.124 Description: This course provides an introduction to the numerical solution of nonlinear optimization problems that are governed by systems of partial differential equations (PDEs), i.e. "PDE-constrained optimization." The focus of the course is on regularization, variational formulations, finite element approximation, direct and adjoint sensitivity analysis, control and state inequalities, and large-scale optimization algorithms. Settings covered include inverse problems and parameter estimation, optimal design (including shape optimization), and optimal control. Students will develop numerical implementations and solutions of model problems in each of these problem classes using a high-level finite element toolkit. Applications to problems involving continuum fluid and solid mechanics and transport. Prerequisites: Graduate standing or consent of instructor. Background in numerical linear algebra, finite element methods, and nonlinear optimization is desirable. However, the required mathematical background will be covered on the fly, albeit quickly. If in doubt, contact me.