December 6, 2012
Mathematics colloquium today
At 2:30 p.m. today Prince Chidyagwai from Temple University will present "Finite Element Approximation of Computational Flows" in 122 Cardwell Hall.
Abstract: Numerical approximation of 1xbet sports betting is common in many applications in science and engineering. We consider two applications of computational 1xbet sports betting . The fi rst is a problem that arises in modelling the interaction between free 1xbet sports betting and porous media 1xbet sports betting in geosciences. We consider a coupled model of the Navier-Stokes and Darcy equations to model this phenomena. The Navier-Stokes equations are used to model 1xbet sports betting in the free 1xbet sports betting region and Darcy's law models 1xbet sports betting in the porous medium.
We show existence and uniqueness of a weak solution to the coupled problem and a numerical solution based on a multi-numerics scheme combining the fi nite element and discontinuous Galerkin method. Numerical results to illustrate the nature of the coupled flows are presented. The second application arises in modelling the 1xbet sports betting of radiative particles — such as photons — modelled by the radiative transport equation with applications to electron radio-therapy. The radiative transport equation describes the distribution of particles in space and time assuming no interaction between them. Our goal is to determine the distribution of the radiative particles in space and time. The full radiative transfer equation is computationally expensive to solve. We consider hyperbolic systems derived using the method of moments to approximate the radiative transport equation. We present numerical results from benchmark radiative therapy test cases from a third order discontinuous Galerkin scheme.