For many application problems that are modeled by partial differential equations (PDEs), not
only it is important to obtain accurate approximations to the solutions, but also accurate …

When establishing the pedigree of a simulation tool, code verification is used to ensure that
the implemented numerical algorithm is a faithful representation of its underlying …

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 …

This article deals with error estimates for the finite element approximation of variational
normal derivatives and, as a consequence, error estimates for the finite element …

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 …

In this paper, based on the KKT system (the first order optimality condition) for elliptic
Dirichlet boundary control problems governed by the Laplacian operator, we develop a new …

CTF is a thermal hydraulic subchannel code developed to predict light water reactor (LWR)
core behavior. It is a version of Coolant Boiling in Rod Arrays (COBRA) developed by Oak …

We consider the finite element discretization of an optimal Dirichlet boundary control
problem for the Laplacian, where the control is considered in H 1/2⁢(Γ). To avoid computing …

In this research, we investigate an optimal control problem governed by elliptic PDEs with
Dirichlet boundary conditions on complex connected domains, which can be utilized to …

Differential equations on metric graphs can describe many phenomena in the physical world
but also the spread of information on social media. To efficiently compute the optimal setup …