科研之友
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摘要
We introduce a Petrov-Galerkin regularized saddle approximation which incorporates a "model" (partial differential equation) and "data" (M experimental observations) to yield estimates for both state and model bias. We provide an a priori theory that identifies two distinct contributions to the reduction in the error in state as a function of the number of observations, M: the stability constant increases with M; the model-bias best-fit error decreases with M. We present results for a synthetic Helmholtz problem and an actual acoustics system.
- 出版日期2013-12
