This week's Mathematical Sciences Department colloquium is given by Dr. Robert Kirby, Associate Professor, in the Department of Mathematics, Baylor University.
The last decade has seen the rapid growth in the expressiveness and power of software for the finite element method for the numerical solution of partial differential equations. Codes such as FEniCS and the Sundance project allow users to express the weak form of their problem in high-level syntax that the software uses to efficiently build algebraic operators and hence utilize high performance libraries to obtain numerical solutions.
In this talk, I will discuss the mathematical underpinnings of the Sundance project, showing how a framework based on Frechet differentiation allows us to reason about and process notation for variational forms. As an application of Sundance's capabilities for coupled multiphysics problems, I will also discuss current research on block-structured preconditioners for the Benard convection problem of incompressible flow.
Coffee will be served in FO 2.610F at PM.
NOTE: Please visit our webpage at http://www.utdallas.edu/math/news/ for up-to-date colloquia information.