Algorithms for PDE‐constrained optimization

R Herzog, K Kunisch - GAMM‐Mitteilungen, 2010 - Wiley Online Library
Some first and second order algorithmic approaches for the solution of PDE‐constrained
optimization problems are reviewed. An optimal control problem for the stationary Navier …

Optimal Control of Quasilinear -Elliptic Partial Differential Equations in Magnetostatic Field Problems

I Yousept - SIAM Journal on Control and Optimization, 2013 - SIAM
This paper examines the mathematical and numerical analysis for optimal control problems
governed by quasilinear H(curl)-elliptic partial differential equations. We consider a …

A robust preconditioned MinRes solver for distributed time-periodic eddy current optimal control problems

M Kolmbauer, U Langer - SIAM Journal on Scientific Computing, 2012 - SIAM
This work is devoted to the construction and analysis of robust solvers for some distributed
optimal control problems for time-periodic eddy current problems. We apply the …

Analysis of control problems for stationary magnetohydrodynamics equations under the mixed boundary conditions for a magnetic field

G Alekseev - Mathematics, 2023 - mdpi.com
The optimal control problems for stationary magnetohydrodynamic equations under the
inhomogeneous mixed boundary conditions for a magnetic field and the Dirichlet condition …

Optimal control of three-dimensional state-constrained induction heating problems with nonlocal radiation effects

PÉ Druet, O Klein, J Sprekels, F Tröltzsch… - SIAM Journal on Control …, 2011 - SIAM
The paper is concerned with a class of optimal heating problems in semiconductor single
crystal growth processes. To model the heating process, time-harmonic Maxwell equations …

On two optimal control problems for magnetic fields

S Nicaise, S Stingelin, F Tröltzsch - Computational Methods in …, 2014 - degruyter.com
Two optimal control problems for instationary magnetization processes are considered in 3D
spatial domains that include electrically conducting and nonconducting regions. The …

Approximate deconvolution models for magnetohydrodynamics

A Labovsky, C Trenchea - Numerical functional analysis and …, 2010 - Taylor & Francis
We consider the family of approximate deconvolution models (ADM) for the simulation of the
large eddies in turbulent viscous, incompressible, electrically conducting flows. We prove …

Analysis of an optimal control problem for the three-dimensional coupled modified Navier–Stokes and Maxwell equations

M Gunzburger, C Trenchea - Journal of mathematical analysis and …, 2007 - Elsevier
The mathematical formulation and analysis of an optimal control problem associated with a
viscous, incompressible, electrically conducting fluid in a bounded three-dimensional …

[PDF][PDF] Optimal control of the unsteady Navier-Stokes equations

D Wachsmuth - 2006 - depositonce.tu-berlin.de
My thesis is concerned with the study of optimal control problems for the non-stationary
Navier-Stokes equations. These equations are a mathematical model to describe the …

[HTML][HTML] Determining the optimal parameters for the MHD flow and heat transfer with variable viscosity and Hall effect

C Evcin, Ö Uğur, M Tezer-Sezgin - Computers & Mathematics with …, 2018 - Elsevier
The direct and optimal control solution of the laminar, fully developed, steady MHD flow of
an incompressible, electrically conducting fluid in a duct is considered together with the heat …