GENERALIZED NEWTON METHODS FOR THE 2D–SIGNORINI CONTACT PROBLEM WITH FRICTION (2008)
Abstract. The 2D–Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is...
J. C. De, Los Reyes, K. Kunisch
Abstract. In this paper we study semi-smooth Newton methods for the numerical solution of regularized pointwise state-constrained optimal control problems governed by the Navier-Stokes equations....
1 Problem statement and functions of (2007)
bounded variation We consider the problem of finding approximate solutions to Tu = z (1.1) where T is a bounded linear operator from L 2(\Omega\Gamma to a Hilbert space Y by using regularization...
In this note suboptimal distributed and boundary control strategies for fluid flows governed by the Navier-Stokes equation (NSE) together with aspects of the numerical and practical implementation of...
This work is concerned with an approximation process for the identification of nonlinearities in parabolic boundary value problems. Numerical results are given.
2 In our talk optimal and suboptimal distributed and boundary control strategies for fluid flows governed by the Navier-Stokes equation (NSE) together with some aspects of the numerical and practical...
In this paper we discuss the use of bounded variation functions in the study of some optimal control problems as well as in the calculus of variations. The bounded variation functions are well...
In this note suboptimal distributed and boundary control strategies for fluid flows governed by the Navier-Stokes equation (NSE) together with aspects of the numerical and practical implementation of...
PATH-FOLLOWING METHODS FOR A CLASS OF CONSTRAINED MINIMIZATION PROBLEMS IN FUNCTION SPACE ⋄ (2007)
Abstract. Path-following methods for primal-dual active set strategies requiring a regularization parameter are introduced. Existence of a path and its differentiability properties are analyzed....
The primal-dual active set method for a crack problem with non-penetration (2004)
Hintermüller, M., Kovtunenko, V.A., Kunisch, K.
The Lamé problem in a 2D domain with a crack under a non‐penetration condition is considered as a variational inequality. A primal–dual active set method is proposed as an efficient...
Sub-Optimal Control of Transient Non-Isothermal Viscoelastic Fluid Flows (1999)
Sub-optimal control of transient viscoelastic fluid flows in a 4 to 1 planar contracting channel is investigated. The control mechanism is based on heating or cooling the fluid along a portion of the...
Newton's Method for Tracking Type Control of the Instationary Navier-Stokes Equations (1999)
> > > > > > = > > > > > > > ; (1) where Q c := c (0; T ) and Q o := o (0; T ), with c and o subsets of = (0; 1) 2 denoting control and observation volumes,...
M. Bergounioux, M. Haddou, M. Hintermuller, K. Kunisch
Abstract. In this note we focus on a comparison of two efficient methods to solve quadratic constrained optimal control problems governed by elliptic partial-differential equations. One of them is...
Sequential And Parallel Splitting Methods For Bilinear Control Problems In Hilbert Spaces (1997)
. An augmented Lagrangian method with second-order update is developed, and its relationship to the sequential quadratic programming method is described. The rate of convergence proof depends on a...
Suboptimal Control Strategies for Backward Facing Step Flows (1997)
In our talk suboptimal distributed and boundary control strategies for fluid flows governed by the Navier-Stokes equation (NSE) together with some aspects of the numerical and practical...
Shape Optimization For Mixed Boundary Value Problems Based On An Embedding Domain Method (1995)
. An embedding domain method for mixed boundary value problems is derived and applied to a class of shape optimization problems. The derivative of the cost with respect to the shape is characterized...
Control and Estimation of the Boundary Heat Transfer Function in Stefan Problems (1994)
V. Barbu, K. Kunisch, Fachbereich Mathematik, W. Ring
An approximation procedure for the identification of a nonlinear boundary heat transfer function in a one phase Stefan problem is presented. Alternatively the problem can be viewed as constructing a...
Convergence of Tikhonov regularization for constrained Ill-posed inverse problems (1992)
In this paper convergence and rate of convergence results for nonlinear constrained ill-posed inverse problems formulated as regularized least squares problems are given.
Regularization in state space (1992)
This paper is devoted to the introduction and analysis of regularization in state space for nonlinear illposed inverse problems. Applications to parameter estimation problems are given and numerical...
Convergence of Tikhonov regularization for constrained Ill-posed inverse problems (1992)
In this paper convergence and rate of convergence results for nonlinear constrained ill-posed inverse problems formulated as regularized least squares problems are given.
Regularization in state space (1992)
This paper is devoted to the introduction and analysis of regularization in state space for nonlinear illposed inverse problems. Applications to parameter estimation problems are given and numerical...