PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Chun Liu.

Title:A posteriori error analysis for multirate, multiphysics problems
Seminar:Department of Mathematics Colloquium
Speaker:Simon Tavener, Colorado State University (Host: Andrew Belmonte)
Abstract:
Finite element methods are well-established and popular techniques for solving systems of partial differential equations. A priori analyses of finite element methods seek to establish error bounds in appropriate norms and to determine rates of convergence with mesh refinement. Adjoint-based a posteriori analyses seek to estimate the error in a functional of the solution (a “quantity of interest”) for a given numerical calculation. Computation plays an essential role in many areas of science and technology where we seek to understand complex systems involving multiple physical processes which often evolve on distinctly different time scales. Complicating matters, the model parameters and even computational domains may be uncertain. Further, specific numerical approaches such as finite volume methods or explicit time integration techniques may be entrenched within particular scientific communities. The goal of this work is to use mathematically appealing adjoint-based a posteriori ideas to develop accurate a posteriori error estimates for a range of computational problems encountered in practice and to use the insights gained in to the multiple sources of error to construct adaptive computational strategies.

Room Reservation Information

Room Number:MB114
Date:10 / 23 / 2014
Time:03:30pm - 04:20pm