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|
|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
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
|Date:||04 / 22 / 2011|
|Time:||03:35pm - 04:25pm|