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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 operatordoi:10.1088/1742-6596/125/1/012075 fatcat:wtsm3mxrkzfdxicxbsuhgmdtte