Parameterisation of facial expressions on PDE surface representations of human faces are presented in this work. Taking advantage of the boundary-value approach inherent to Bloor-Wilson PDE method, facial expressions are achieved by manipulating the original boundary curves. Such curves are responsible for generating a surface representation of a human face in its neutral configuration, so that...

Background: The increasing use of nuclear radiation for human welfare necessitates the search for new, safe, cost effective radio protectors not only for the personnel’s charged with the responsibility of working or testing with radiations in laboratories, but also for general public. With this view the present study has been undertaken to determine the deleterious effects of sub lethal g...

FEAST (Finite Element Analysis & Solutions Tools) is a Finite Element based solver toolkit for the simulation of PDE problems on parallel HPC systems which implements the concept of ‘hardware-oriented numerics’, a holistic approach aiming at optimal performance for modern numerics. In this paper, we describe this concept and the modular design which enables applications built on top of FEAST to...

It is well known that the analysis of the large-time asymptotics of Fokker-Planck type equations by the entropy method is closely related to proving the validity of convex Sobolev inequalities. Here we highlight this connection from an applied PDE point of view. In our unified presentation of the theory we present new results to the following topics: an elementary derivation of Bakry-Emery type...

background: the increasing use of nuclear radiation for human welfare necessitates the search for new, safe, cost effective radio protectors not only for the personnel’s charged with the responsibility of working or testing with radiations in laboratories, but also for general public. with this view the present study has been undertaken to determine the deleterious effects of sub lethal gamma r...

FEAST (Finite Element Analysis & Solutions Tools) is a Finite Element based solver toolkit for the simulation of PDE problems on parallel HPC systems which implements the concept of ‘hardware-oriented numerics’, a holistic approach aiming at optimal performance for modern numerics. In this paper, we describe this concept and the modular design which enables applications built on top of FEAST to...

This note is devoted to stabilizing a coupled PDE–ODE system with interaction at the interface. First, a state feedback boundary controller is designed, and the system is transformed into an exponentially stable PDE–ODE cascadewith an invertible integral transformation,where PDE backstepping is employed. Moreover, the solution to the resulting closed-loop system is derived explicitly. Second, a...

In this paper, we study second-order and fourth-order elliptic problems which include not only a Poisson equation in the bulk but also an inhomogeneous Laplace--Beltrami on boundary of domain. The surface PDE are coupled by condition that is either Dirichlet or Robin type. We point out both type can be handled simultaneously through our formalism without having to change framework. Moreover, in...