[图书][B] Lagrange multiplier approach to variational problems and applications
The objective of this monograph is the treatment of a general class of nonlinear variational
problems of the form min y∈ Y, u∈ U ƒ (y, u) subject to e (y, u)= 0, g (y, u)∈ K, 0.0. 1 where …
problems of the form min y∈ Y, u∈ U ƒ (y, u) subject to e (y, u)= 0, g (y, u)∈ K, 0.0. 1 where …
Primal-dual strategy for constrained optimal control problems
An algorithm for efficient solution of control constrained optimal control problems is
proposed and analyzed. It is based on an active set strategy involving primal as well as dual …
proposed and analyzed. It is based on an active set strategy involving primal as well as dual …
Parallel Lagrange--Newton--Krylov--Schur methods for PDE-constrained optimization. Part I: The Krylov--Schur solver
Large-scale optimization of systems governed by partial differential equations (PDEs) is a
frontier problem in scientific computation. Reduced quasi-Newton sequential quadratic …
frontier problem in scientific computation. Reduced quasi-Newton sequential quadratic …
Practical and theoretical aspects of adjoint parameter estimation and identifiability in meteorology and oceanography
IM Navon - Dynamics of atmospheres and oceans, 1998 - Elsevier
The present paper has two aims. One is to survey briefly the state of the art of parameter
estimation in meteorology and oceanography in view of applications of 4-D variational data …
estimation in meteorology and oceanography in view of applications of 4-D variational data …
Second order methods for optimal control of time-dependent fluid flow
Second order methods for open loop optimal control problems governed by the two-
dimensional instationary Navier--Stokes equations are investigated. Optimality systems …
dimensional instationary Navier--Stokes equations are investigated. Optimality systems …
Primal-dual strategy for state-constrained optimal control problems
M Bergounioux, K Kunisch - Computational Optimization and Applications, 2002 - Springer
State constrained optimal control problems represent severe analytical and numerical
challenges. A numerical algorithm based on an active set strategy involving primal as well …
challenges. A numerical algorithm based on an active set strategy involving primal as well …
Error estimates for the numerical approximation of boundary semilinear elliptic control problems
E Casas, M Mateos, F Tröltzsch - Computational Optimization and …, 2005 - Springer
We study the numerical approximation of boundary optimal control problems governed by
semilinear elliptic partial differential equations with pointwise constraints on the control. The …
semilinear elliptic partial differential equations with pointwise constraints on the control. The …
Primal-dual active set strategy for a general class of constrained optimal control problems
K Kunisch, A Rösch - SIAM Journal on Optimization, 2002 - SIAM
An algorithm for efficient solution of optimal control problems with pointwise constraints is
introduced. It is based on an active set strategy using primal as well as dual variables. Under …
introduced. It is based on an active set strategy using primal as well as dual variables. Under …
Fast CG-based methods for Tikhonov--Phillips regularization
Tikhonov--Phillips regularization is one of the best-known regularization methods for inverse
problems. A posteriori criteria for determining the regularization parameter α require solving …
problems. A posteriori criteria for determining the regularization parameter α require solving …
Trust-region interior-point SQP algorithms for a class of nonlinear programming problems
In this paper, a family of trust-region interior-point sequential quadratic programming (SQP)
algorithms for the solution of a class of minimization problems with nonlinear equality …
algorithms for the solution of a class of minimization problems with nonlinear equality …