Fall 2011

Oct. 18

Alfa Heryudono (UMASS Dartmouth) 
Title: Radial basis function method for collocation problems: adaptive and partition unity scheme
Abstract: This talk will focus on the use of meshless radial basis function collocation method for
numerically solving interpolation and PDE problems. The flexibility of meshfree method makes our life
easier to addremovedistribute points in computational domain based on solution profiles. We will
discuss computational issues and new directions. Numerical simulations in MATLAB will also be presented.

Nov. 1

Angelo Lucia URI Chester H. Kirk Professor of Chemical Engineering 
Title:Numerical Tools for Reservoir Simulation
Abstract: Reservoir simulation problems are quite challenging from a numerical perspective since one has to solve millions to billions of small but challenging global optimization problems (flash problems) over the course of integrating the conservation equations for a reservoir over time horizons of years to decades. Here finite element representations of the governing PDEs are solved implicitly using Newton's method and for each time step, up to 1/2 million flash problems need to be solved  depending of course on the discretization of the reservoir. My focus in this multiperson project is the flash problems. For each finite element, a flash problem involves the following: Given the temperature, pressure and the overall feed to the grid block, determine the types and number of phases and their corresponding densities and compositions. My job is to guarantee NO failures at the flash level of the computations otherwise the reservoir simulation fails.

Nov. 15

Saeja O. Kim (UMASS Dartmouth) 
Radial Basis Function (RBF) in Edge detection
Cancelled. Rescheduled for Spring 2012.

Nov. 29

James Baglama 
Restarted Lanczos Bidiagonalization Methods

Dec. 6

Dan Richmond 
Preconditioned LSQR Algorithm
