A model-data weak formulation for simultaneous estimation of state and model bias

DOI10.1016/j.crma.2013.10.034zbMath1281.65148OpenAlexW1988249696MaRDI QIDQ392627

James D. Penn, Masayuki Yano, Anthony T. Patera

Publication date: 14 January 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/103882

zbMATH Keywords

stabilityerror estimatesnumerical examplesPetrov-Galerkin methodHelmholtz problemacoustics system

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data
• A class of discontinuous Petrov-Galerkin methods. I: The transport equation
• A general multipurpose interpolation procedure: The magic points
• Double greedy algorithms: Reduced basis methods for transport dominated problems
• Unnamed Item

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