Search Results - "Kunisch, K."

Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics by Kunisch, K., Volkwein, S.

“…Error estimates for Galerkin proper orthogonal decomposition (POD) methods for nonlinear parabolic systems arising in fluid dynamics are proved. For the time…”
Get full text

Galerkin proper orthogonal decomposition methods for parabolic problems by KUNISCH, K, VOLKWEIN, S

Get full text

On Computation of the Shape Hessian of the Cost Functional Without Shape Sensitivity of the State Variable by Kasumba, H., Kunisch, K.

“…A framework for calculating the shape Hessian for the domain optimization problem, with a partial differential equation as the constraint, is presented. First…”
Get full text

Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem by M. Hintermüller, Kunisch, K.

“…It is demonstrated that the predual for problems with total bounded variation regularization terms can be expressed as a bilaterally constrained optimization…”
Get full text

Vortex control in channel flows using translational invariant cost functionals by Kasumba, H., Kunisch, K.

“…The use of translation invariant cost functionals for the reduction of vortices in the context of shape optimization of fluid flow domain is investigated…”
Get full text

Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition by Kunisch, K, Volkwein, S

“…Proper orthogonal decomposition (POD) is a method to derive reduced-order models for dynamical systems. In this paper, POD is utilized to solve open-loop and…”
Get full text

Vortex control of instationary channel flows using translation invariant cost functionals by Kasumba, H., Kunisch, K.

“…The use of translation invariant cost functionals for the reduction of vortices in the context of shape optimization of fluid flow domains is investigated…”
Get full text

POD-based feedback control of the burgers equation by solving the evolutionary HJB equation by Kunisch, K., Xie, L.

“…A new approach for solving finite-time horizon feedback control problems for distributed parameter systems is proposed. It is based on model reduction by…”
Get full text

Lossy Compression in Optimal Control of Cardiac Defibrillation by Götschel, S., Chamakuri, N., Kunisch, K., Weiser, M.

“…This paper presents efficient computational techniques for solving an optimization problem in cardiac defibrillation governed by the monodomain equations…”
Get full text

A Multigrid Scheme for Elliptic Constrained Optimal Control Problems by Borzì, A, Kunisch, K

“…A multigrid scheme for the solution of constrained optimal control problems discretized by finite differences is presented. This scheme is based on a new…”
Get full text

Shape Optimization and Fictitious Domain Approach for Solving Free Boundary Problems of Bernoulli Type by Haslinger, J, Kozubek, T, Kunisch, K, Peichl, G

“…This contribution deals with an efficient method for the numerical realization of the exterior and interior Bernoulli free boundary problems. It is based on a…”
Get full text

Problem of crack perturbation based on level sets and velocities by Kovtunenko, V.A., Kunisch, K.

“…We describe cracks with the help of a given velocity as zero‐level sets of a non‐negative function satisfying a transport equation. For smooth velocities this…”
Get full text

Augmented lagrangian active set methods for obstacle problems by KÄRKKIINEN, T, KUNISCH, K, TARVAINEN, P

“…Active set strategies for two-dimensional and three-dimensional, unilateral and bilateral obstacle problems are described. Emphasis is given to algorithms…”
Get full text

A semi-smooth Newton method for control constrained boundary optimal control of the Navier–Stokes equations by de los Reyes, J.C., Kunisch, K.

“…In this paper we study optimal control of the Navier–Stokes equations when the control acts as a pointwise constrained boundary condition of Dirichlet type…”
Get full text

A globalization strategy for the multigrid solution of elliptic optimal control problems by Borzì, A., Kunisch, K.

“…A globalization strategy for multigrid schemes solving optimal control problems is presented. This approach searches for possible negative eigenvalues of the…”
Get full text

Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities by Kovtunenko, V. A., Kunisch, K., Ring, W.

“…Cracks and their propagation with a given kinematic velocity are described as zero-level sets of a non-negative scalar function satisfying a transport…”
Get full text

Optimal Control of Elliptic Variational Inequalities by Ito, K., Kunisch, K.

“…Optimality systems for optimal control problems governed by elliptic variational inequalities are derived. Existence of appropriately defined Lagrange…”
Get full text

Second order methods for boundary control of the instationary Navier-Stokes system by Hinze, M., Kunisch, K.

“…Second order methods for open loop optimal boundary control problems governed by the instationary Navier‐Stokes system are investigated. A general analytic…”
Get full text

A Papkovich–Neuber-based numerical approach to cracks with contact in 3D by Hintermüller, M., Kovtunenko, V. A., Kunisch, K.

“…The mathematical model of a crack with non-penetration conditions is considered in the framework of 3D elasticity. The spatial crack problem is investigated…”
Get full text

Optimal control of vortices in non-homogeneous Navier–Stokes flows by Chaabane, S., Ferchichi, J., Kunisch, K.

“…Optimal control of time dependent fluid flow governed by the incompressible Navier–Stokes equations is considered. A cost functional based on a local dynamical…”
Get full text