In this work, we provide a compact finite-difference scheme (CFDS) of 2D time-fractional
convection–diffusion equation (TF-CDE) for solving fluid dynamics problem, especially …

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 …

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 …

We investigated a hybridizable discontinuous Galerkin (HDG) method for a convection
diffusion Dirichlet boundary control problem in our earlier work (Gong et al. SIAM J Numer …

This paper investigates adaptive hybridizable discontinuous Galerkin methods for the
gradient-velocity–pressure formulation of Brinkman equations. We use piecewise …

We first propose a hybridizable discontinuous Galerkin (HDG) method to approximate the
solution of a convection dominated Dirichlet boundary control problem without constraints …

We consider an optimal control problem for lake eutrophication. The state problem is given
by coupled nonlinear partial differential equations ruling the dynamics of phosphorus stock …

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 …

We propose a hybridizable discontinuous Galerkin (HDG) method for approximating the
Steklov eigenvalue problem. We prove optimal convergence rates for the eigenvalues and …

In this paper, we investigate a hybridizable discontinuous Galerkin method for second order
elliptic equations with Dirac measures. Under assumption that the domain is convex and the …