A penalty/least-squares method for optimal control problems for first-order elliptic systems

DOI10.1016/S0096-3003(99)00010-7zbMath1026.49025MaRDI QIDQ1569124

Hyung-Chun Lee, Max D. Gunzburger

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

optimal controlfinite element approximationsfirst-order elliptic systemspenalty/least-squares method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational methods for elliptic systems (35J50) Discrete approximations in optimal control (49M25)

Related Items

A stabilized mixed finite element method for elliptic optimal control problems, A least-squares method for optimal control problems for a second-order elliptic system in two dimensions, Least-squares finite-element methods for optimization and control problems for the Stokes equations, A least-squares/penalty method for distributed optimal control problems for Stokes equations

Cites Work

• A finite element method for first order elliptic systems in three dimensions
• A theorem about the complete set of isomorphisms for systems elliptic in the sense of Douglis and Nirenberg
• Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Unnamed Item
• Unnamed Item
• Unnamed Item