Stochastic goal-oriented error estimation with memory

DOI10.1016/j.jcp.2017.07.009zbMath1422.76131OpenAlexW2345198383MaRDI QIDQ1694617

Jochem Marotzke, Jan Ackmann, Peter Korn

Publication date: 6 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.07.009

zbMATH Keywords

error estimationoceanographycomputational fluid dynamicsadjointensemble methodMori-Zwanzig formalism

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) Error bounds for boundary value problems involving PDEs (65N15) PDEs in connection with geophysics (35Q86)

Related Items (1)

Time-series machine-learning error models for approximate solutions to parameterized dynamical systems

Cites Work

• Ensemble-type numerical uncertainty information from single model integrations
• Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
• On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
• Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
• An optimal control approach to a posteriori error estimation in finite element methods
• Atmospheric and Oceanic Fluid Dynamics
• Extracting macroscopic dynamics: model problems and algorithms
• Transport, Collective Motion, and Brownian Motion
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