We study the numerical approximation of singularly perturbed convection-diffusion problems
on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type of …

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 …

We propose a hybridizable discontinuous Galerkin (HDG) finite element method to
approximate the solution of the time dependent drift–diffusion problem. This system involves …

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 …

In this paper, a multilevel Monte Carlo ensemble hybridizable discontinuous Galerkin
(MLMCE-HDG) method is proposed to solve the convection diffusion equation with random …

We prove quasi-optimal L^∞ norm error estimates (up to logarithmic factors) for the solution
of Poisson's problem in two dimensional space by the standard hybridizable discontinuous …

Abstract In Gong et al.(2020), we proposed an HDG method to approximate the solution of a
tangential boundary control problem for the Stokes equations and obtained an optimal …

abstract A second‐order, multilevel Monte Carlo ensemble, and hybridizable discontinuous
Galerkin (MLMCE‐HDG) method is proposed to solve the stochastic parabolic partial …

We present and analyze a new hybridizable discontinuous Galerkin method for the Reissner–
Mindlin plate bending problem. Our method is based on the formulation utilizing Helmholtz …

How to build an accurate reduced order model (ROM) for multidimensional time dependent
partial differential equations (PDEs) is quite open. In this paper, we propose a new ROM for …