35 research outputs found
An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDE
We first propose a hybridizable discontinuous Galerkin (HDG) method to
approximate the solution of a \emph{convection dominated} Dirichlet boundary
control problem. Dirichlet boundary control problems and convection dominated
problems are each very challenging numerically due to solutions with low
regularity and sharp layers, respectively. Although there are some numerical
analysis works in the literature on \emph{diffusion dominated} convection
diffusion Dirichlet boundary control problems, we are not aware of any existing
numerical analysis works for convection dominated boundary control problems.
Moreover, the existing numerical analysis techniques for convection dominated
PDEs are not directly applicable for the Dirichlet boundary control problem
because of the low regularity solutions. In this work, we obtain an optimal a
priori error estimate for the control under some conditions on the domain and
the desired state. We also present some numerical experiments to illustrate the
performance of the HDG method for convection dominated Dirichlet boundary
control problems
International lower limb collaborative (INTELLECT) study: a multicentre, international retrospective audit of lower extremity open fractures
Trauma remains a major cause of mortality and disability across the world1, with a higher burden in developing nations2. Open lower extremity injuries are devastating events from a physical3, mental health4, and socioeconomic5 standpoint. The potential sequelae, including risk of chronic infection and amputation, can lead to delayed recovery and major disability6. This international study aimed to describe global disparities, timely intervention, guideline-directed care, and economic aspects of open lower limb injuries
Die palmare radioscapholunäre Arthrodese als Rettungsoperation bei fehlverheilten intraartikulären Speichenfrakturen
Jan DeKoning's Dodgem - DG16 - photographed 16 September 2007