Analysis and discretization of an optimal control problem for the time-periodic MHD equations

Max Gunzburger, Cătălin Trenchea

Type: Article

Publication Date: 2005-02-25

Citations: 32

DOI: https://doi.org/10.1016/j.jmaa.2004.11.022

View Publication

Locations

Journal of Mathematical Analysis and Applications - View

Similar Works

Action	Title	Year	Authors
+	Optimal control of the time-periodic MHD equations	2005	Max Gunzburger Cătălin Trenchea
+	The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls	1999	Max Gunzburger Sandro Manservisi
+	Optimal control for realizing target flow velocity in 1D MHD flow	2017	Zhigang Ren Liu X Chao Xu Tehuan Chen Zongze Wu
+ PDF Chat	On the Dynamics of Controlled Magnetohydrodynamic Systems	2008	S. S. Ravindran
+ PDF Chat	Optimal moving grids for time-dependent partial differential equations	1992	Andy Wathen
+	Numerical Solution of Optimal Distributed Control Problems for Incompressible Flows	1997	Lisheng Hou S. S. Ravindran Yue Yan
+	The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control	2000	Max Gunzburger Sandro Manservisi
+	Boundary optimal control of MHD flows	1995	Lisheng Hou A. J. Meir
+	Theory and numerical solution of an optimal control problem in plasma physics	1977	Danielle Hilhorst
+	Theory and numerical solution of an optimal control problem in plasma physics	1977	D. Goldman-Hilhorst
+	Optimal Control of Partial Differential Equations : Theory, Numerics and Applications	2011	Hans Josef Pesch
+	Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow	2008	Е. В. Амосова
+	Design of the optimal control of periodic processes in unlimited time	2007	В. И. Гурман M. Yu. Ukhin
+	Numerical solution of arbitrary-order linear partial differential equations using an optimal control technique	2021	Mazyar Zarepour Ghasem Barid Loghmani
+	Optimal control of MHD-flow deceleration	2008	A. Yu. Chebotarëv
+	A posteriori error estimation for the optimal control of time-periodic eddy current problems	2023	Monika Wolfmayr
+	Optimal control of PDEs and FE-approximation	2022	Eduardo Casas Karl Kunisch Fredi Tröltzsch
+	Optimal periodic control of ordinary differential equations	1988	Fritz Colonius
+	Optimal control of periodic systems	1996	Viorel Barbu
+	Optimal control of Navier-Stokes equations with periodic inputs	1998	Viorel Barbu

Works That Cite This (17)

Action	Title	Year	Authors
+	Conjugate gradient-boundary element solution for distributed elliptic optimal control problems	2007	Bingjie Li Sanyang Liu
+	Optimal control of the unsteady Navier-Stokes equations	2006	Daniel Wachsmuth
+ PDF Chat	Modeling and Control of Low-Frequency Electromagnetic Fields in Multiply Connected Conductors	2016	Fredi Tröltzsch Alberto Valli
+ PDF Chat	Analysis of Control Problems for Stationary Magnetohydrodynamics Equations under the Mixed Boundary Conditions for a Magnetic Field	2023	Г. В. Алексеев
+	Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field	2020	Jens-Henning Möller
+	Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations	2020	Aytekin Çıbık Fatma G. Eroglu Songül Kaya
+	On the global well-posedness and exponential stability of 3D heat conducting incompressible Navier-Stokes equations with temperature-dependent coefficients and vacuum	2024	Jianxia He Qingyan Li
+	Optimal Control for a Stationary MHD System in Velocity‐Current Formulation	2006	Roland Griesse Karl Kunisch
+ PDF Chat	Stability Estimates of Optimal Solutions for the Steady Magnetohydrodynamics-Boussinesq Equations	2024	Г. В. Алексеев Yu. E. Spivak
+	On the convergence rate of grad-div stabilized Taylor–Hood to Scott–Vogelius solutions for incompressible flow problems	2011	Alexander Linke Leo G. Rebholz Nicholas E. Wilson

Works Cited by This (5)

Action	Title	Year	Authors
+	Navier-Stokes Equations and Nonlinear Functional Analysis	1987	Roger Témam
+	Optimal control of Navier-Stokes equations with periodic inputs	1998	Viorel Barbu
+	The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls	1999	Max Gunzburger Sandro Manservisi
+ PDF Chat	Some mathematical questions related to the mhd equations	1983	Michel Sermange Roger Témam
+	Navier–Stokes Equations and Nonlinear Functional Analysis	1995	Roger Témam