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A parameterized‐background data‐weak approach to variational data assimilation: formulation, analysis, and application to acoustics
Summary We present a parameterized‐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 the field …