A Posteriori Error Analysis of Multiscale Operator Decomposition Methods for Multiphysics Models

A Posteriori Error Analysis of Multiscale Operator Decomposition Methods for Multiphysics Models. Estep, D., Carey, V., Ginting, V., Tavener, S., & Wildey, T. Journal of Physics: Conference Series, 125(1):012075, 2008.

Paper doi abstract bibtex

Multiphysics, multiscale models present significant challenges in 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, several key ideas underlie a general approach being developed to treat operator decomposition multiscale methods. We explain these ideas in the context of three specific examples.

@article{1742-6596-125-1-012075,
  author={D. Estep and V. Carey and V. Ginting and S. Tavener and T. Wildey},
  title={A {P}osteriori {E}rror {A}nalysis of {M}ultiscale {O}perator {D}ecomposition {M}ethods for {M}ultiphysics {M}odels},
  journal={Journal of Physics: Conference Series},
  volume={125},
  number={1},
  pages={012075},
  url={http://stacks.iop.org/1742-6596/125/i=1/a=012075},
  year={2008},
  doi={10.1088/1742-6596/125/1/012075},
  abstract="Multiphysics, multiscale models present significant challenges in 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, several key ideas underlie a general approach being developed to treat operator decomposition multiscale methods. We explain these ideas in the context of three specific examples."
}

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