A Parametrized-Background Data-Weak Approach to Variational Data Assimilation : Formulation , Analysis , and Application to Acoustics

@inproceedings{Maday2014APD,
  title={A Parametrized-Background Data-Weak Approach to Variational Data Assimilation : Formulation , Analysis , and Application to Acoustics},
  author={Yvon Maday and Anthony T. Patera and James Douglass Penn and Masayuki Yano},
  year={2014}
}
We present a Parametrized-Background Data-Weak (PBDW) formulation of the variational data assimilation (state estimation) problem for systems modeled by partial differential equations. The main contributions are a constrained optimization weak framework informed by the notion of experimentally observable spaces; a priori and a posteriori error estimates for… CONTINUE READING