PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Xiantao Li.

Title:A posteriori analysis and adaptive error control for operator decomposition approaches to coupled physics problems
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Simon Tavener, Colorado State University
Abstract:
A posteriori error estimation and adaptive error control based on the formulation and solution of an adjoint problem are well established for problems involving a single type of physics. For systems that exhibit sufficiently complicated physics or a range of scales so that they severely challenge standard solution techniques, operator decomposition provides an attractive way to decompose the problem into components with relatively simple physics or into behaviors that occur over a modest range of scales. Operator decomposition creates additional challenges for adaptive error control since errors in one component may limit the accuracy in another component, yet a global adjoint solution is typically not available. In this talk, I will describe an a posteriori analysis of operator decomposition methods for coupled elliptic systems. This analysis takes into account the accuracy with which individual components are solved as well as the global effects of operator decomposition. The estimates obtained provide the means for adaptive error control. Extensions of these ideas that are currently under investigation include coupled elliptic-parabolic and coupled parabolic systems arising in studies of cardiac physiology. Time-dependent problems present additional challenges and I will describe a one approach we have developed which we call "block adaptivity".

Room Reservation Information

Room Number:MB106
Date:04 / 22 / 2011
Time:03:35pm - 04:25pm