A posteriori error analysis of multiscale operator decomposition methods for multiphysics models

D Estep, V Carey, V Ginting, S Tavener, T Wildey
2008 Journal of Physics, Conference Series  
Multiphysics, multiscale models present significant challenges in terms of computing accurate solutions and for estimating the error in information computed from numerical solutions. In this paper, we describe recent advances in extending the techniques of a posteriori error analysis to multiscale operator decomposition solution methods. While the particulars of the analysis vary considerably with the problem, there are several key ideas underlaying a general approach to treat operator
more » ... t operator decomposition multiscale methods that is underdevelopment. We explain these ideas in the context of three specific examples.
doi:10.1088/1742-6596/125/1/012075 fatcat:wtsm3mxrkzfdxicxbsuhgmdtte