Goal-oriented error control of stochastic system approximations using metric-based anisotropic adaptations

@article{Langenhove2018GoalorientedEC,
  title={Goal-oriented error control of stochastic system approximations using metric-based anisotropic adaptations},
  author={J. Van Langenhove and Didier Lucor and Fr{\'e}d{\'e}ric Alauzet and Anca Belme},
  journal={J. Comput. Physics},
  year={2018},
  volume={374},
  pages={384-412}
}
The simulation of complex nonlinear engineering systems such as compressible fluid flows may be targeted to make more efficient and accurate the approximation of a specific (scalar) quantity of interest of the system. Putting aside modeling error and parametric uncertainty, this may be achieved by combining goal-oriented error estimates and adaptive anisotropic spatial mesh refinements. To this end, an elegant and efficient framework is the one of (Riemannian) metric-based adaptation where a… CONTINUE READING
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