2:30-3:00 3:00-3:50 4:00-4:50 5:00-5:30 5:30-6:00 6:00-6:30 6:30-7:00

Conference Agenda: April 18^th, 2008 Registration / Meet and Greet Constant Hall Lobby Title: Sensor Networks -- Opportunities for Basic Research Speaker: Dr. Stephen Olariu Constant Hall 1002 Dinner Break Lobby of 2^nd floor in the ECS building Talks to be held in Constant 1052 Title: Uniform Superconvergence of Galerkin Methods for Singularly Perturbed Problems Speaker: Min Huang Abstract: We are concerned with uniform superconvergence of Galerkin methods for singularly perturbed reaction-diff usion problems, using two Shishkin-type meshes. Based on an estimate of the error between spline interpolation of the exact solution and its numerical approximation, an interpolation post-processing technique is applied to the original numerical solution. This results in approximation which exhibits superconvergence which is uniform in the weighted energy norm. Title: Brief comparison of three different Lattice Boltzmann Models Speaker: Xingwang Chen Abstract: In this presentation, I'll briefly introduce the difference of three different models such as Multi-Relaxation Time(MRT) method, Entropic lattice Boltzmann method(ELBE) and Standard Lattice Boltzmann method(LBE).The numerical simulation of lid-driven cavity flow will be studied to show their stability and accuracy. TURN OVER Title: Non-uniform Time-step Runge-Kutta Discontinuous Galerkin Method for Computational Aeroacoustics Speaker: Li Liu Abstract: With many superior features, Runge-Kutta discontinuous Galerkin method (RKDG method) has been one of the most attractive alternative of traditional high-order CAA approaches. However, expensive storage capacity and computational cost are usually demanded for its application on complex physical problems. For computational efficiency, high-order Runge-Kutta method with non-uniform time-step on non-uniform meshes is developed recently. In this case, a linear coupling procedure for the intermediate-stage values of Runge-Kutta time integration is introduced on the elements neighbouring the interfaces of meshes to guarantee correct numerical communication of the grids with different time steps. One-dimensional linear scalar cases with different initial conditions are considered for verification, of which the numerical results show super-convergence rate. Moreover, the application on one-dimensional nonlinear problem has also been explored. Title: An Extensible Mathematical Model of Glucose Metabolism Speaker: Caleb Adams Abstract: The American Diabetes Association reports that diabetes is the fifth leading cause of death by disease in the United States. There are an estimated 20.8 million children and adults in the United States, or 7% of the population, who have diabetes. Nearly one-third of the 20.8 million are unaware that they have the disease. The economic impact of diabetes is staggering. The total of the direct and indirect medical costs associated with diabetes in 2002 was projected to be $132 billion, or approximately one out of every 10 health care dollars. The glucose regulatory system of the healthy body returns the blood-glucose concentration to a constant level after large inputs associated with eating and maintains the concentration despite large usage rates associated with exercise. The primary goal of my research is to create and validate a mathematical model for glucose metabolism that is explanatory, but can eventually be used for simulation and data fitting. However, with the interaction of many different compounds and thousands of chemical reactions, a complete mathematical model is not yet realistic. Therefore, an extensible model is proposed which details the interactions of glucose, insulin, glucagon, and glycogen.

5:00 – 5:30 5:30-6:00 6:00-6:30 6:30-7:00

Talks to be held in Constant 1055 Title: A Finite Difference Method based on the Discontinuous Galerkin Method applied to wave propagation Speaker: Anne Fernando Abstract: This talk with introduce the FD method, its stability properties, its numerical wave number accuracy with comparison to compact and traditional FD schemes, its spatial convergence properties and its adaptability to non‑uniform grids. Finally it will be demonstrated via Benchmark Aeroacoustic problems. Boundary condition issues as applicable are discussed. Title: A comparison of closure rules for the Doi-Hess theory of the liquid crystalline polymers Speaker: Traci Sievenpiper Abstract: Based on the data from direct simulations of Doi-Hess theory, detail comparisons among different closure approximations for contraction of a second order tensor with a fourth order tensor will be made. Title: Augmented Matrices for Fast Finite Element Cutting Speaker: Brandon Hill Abstract: Cutting of finite element models is a necessary part of many surgical simulations.  Such mesh cutting causes unpredictable changes in connectivity that require updates to a model's stiffness matrix.  Real-time solutions are limited because an update invalidates previous factorizations of the matrix, and necessitates a either a re-factorization or an iterative solution.  Neither option is fast enough for real-time cutting for anything other than the simplest of 3D models.  The algorithm presented will address this limitation with a method to quickly update an LDLt factorization of a stiffness matrix in response to cuts in the mesh and changing boundary conditions. Title: A Practical Distance-Based Method for Satisfying Torsional Information in Molecular Modeling Speaker: Terri Grant Abstract: The use of torsion angle information in molecular modeling is of grave importance because it provides a remedy for accurately forming local substructures within the protein. In the context of atom based optimization, we propose a practical method for using a core set of distances to satisfy torsional information and show the effective use of torsional information in GNOMAD results in accurate formation of these major secondary structures.