Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space
We study Dirichlet boundary control of Stokes flows in 2D polygonal domains. We consider
cost functionals with two different boundary control regularization terms: the L ^2(Γ)-norm …
cost functionals with two different boundary control regularization terms: the L ^2(Γ)-norm …
Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem
In this article, we study the Dirichlet boundary control problem governed by Poisson
equation, therein the control is penalized in H 1 (Ω) space and various symmetric …
equation, therein the control is penalized in H 1 (Ω) space and various symmetric …
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
We consider an unconstrained tangential Dirichlet boundary control problem for the Stokes
equations with an L 2 penalty on the boundary control. The contribution of this paper is …
equations with an L 2 penalty on the boundary control. The contribution of this paper is …
Homogeneous multigrid for embedded discontinuous Galerkin methods
P Lu, A Rupp, G Kanschat - BIT Numerical Mathematics, 2022 - Springer
We formulate a multigrid method for an embedded discontinuous Galerkin (EDG)
discretization scheme for Poisson's equation. This multigrid method is homogeneous in the …
discretization scheme for Poisson's equation. This multigrid method is homogeneous in the …
Optimal control of convection-cooling and numerical implementation
This paper is concerned with the problem of enhancing convection-cooling via active control
of the incompressible velocity field, described by a stationary diffusion–convection model …
of the incompressible velocity field, described by a stationary diffusion–convection model …
[PDF][PDF] The SIPG method of Dirichlet boundary optimal control problems with weakly imposed boundary conditions
C Corekli - AIMS Mathematics, 2022 - aimspress.com
In this paper, we consider the symmetric interior penalty Galerkin (SIPG) method which is
one of Discontinuous Galerkin Methods for the Dirichlet optimal control problems governed …
one of Discontinuous Galerkin Methods for the Dirichlet optimal control problems governed …
Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop
This paper is concerned with a bilinear control problem for enhancing convection-cooling
via an incompressible velocity field. Both optimal open-loop control and closed-loop …
via an incompressible velocity field. Both optimal open-loop control and closed-loop …