Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499883 | Computer Methods in Applied Mechanics and Engineering | 2007 | 10 Pages |
Abstract
A framework for goal-oriented a posteriori error estimation is developed for the representer method, a data assimilation scheme due to Bennett [A.F. Bennet, Inverse Methods in Physical Oceanography, Cambridge University Press, New York, NY, 1992]. This framework is used to derive an estimate in the case of a mixed finite element approximation of a linear parabolic equation modeling single-phase Darcy flow in porous media. The representer method is computationally expensive, as are most DA schemes; therefore, the error estimates are used to increase computational efficiency by allowing a systematic coarsening of the grids used to calculate the representers. Numerical experiments illustrate the derived estimates and computational savings.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
John Baird, Clint Dawson,