Concepedia

Adjoint-based Error Estimation

Adjoint-Based Error Estimation is a methodological framework within error estimation that employs the solution of an adjoint problem to quantify and localize discretization errors in partial differential equation approximations by weighting residual errors with respect to a specific quantity of interest.

106

Publications

5.5K

Citations

213

Authors

96

Institutions

Publications per year

2017–2026

20

Parents

Publications

106

Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics

Krzysztof Fidkowski, David Darmofal · AIAA Journal · 2011 · 410 citations

, , +17

<i>A posteriori</i>error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

Martin Grepl, Anthony T. Patera · ESAIM Mathematical Modelling and Numerical Analysis · 2005 · 359 citations · Full text

, , +16

Adjoint Recovery of Superconvergent Functionals from PDE Approximations

Niles A. Pierce, Michael B. Giles · SIAM Review · 2000 · 322 citations

, , +17

Estimation of observation impact using the NRL atmospheric variational data assimilation adjoint system

Rolf H. Langland, Nancy L. Baker · Tellus A Dynamic Meteorology and Oceanography · 2004 · 313 citations · Full text

, , +13

Adjoint Error Estimation and Grid Adaptation for Functional Outputs: Application to Quasi-One-Dimensional Flow

David A. Venditti, David Darmofal · Journal of Computational Physics · 2000 · 230 citations

, , +13

1–5 of 106

Authors

213

  1. KF
    Krzysztof Fidkowski

    University of Michigan, United States

    9 publications · 621 citations

    9

    h-index

  2. DD
    David Darmofal

    Massachusetts Institute of Technology, United States

    5 publications · 704 citations

    5

    h-index

  3. MB
    Michael B. Giles

    University of Oxford, United Kingdom

    5 publications · 538 citations

    5

    h-index

  4. LP
    Linda Petzold

    University of California, Santa Barbara, United States

    4 publications · 210 citations

    4

    h-index

  5. RH
    Rolf H. Langland

    United States Naval Research Laboratory, United States

    4 publications · 617 citations

    4

    h-index

1–5 of 213

Institutions

96

  1. Massachusetts Institute of Technology

    Cambridge, United States

    7 h-index

    14 publications

    1.8K citations

  2. University of Michigan

    Ann Arbor, United States

    7 h-index

    13 publications

    585 citations

  3. University of Oxford

    Oxford, United Kingdom

    5 h-index

    8 publications

    905 citations

  4. Technische Universität Braunschweig

    Braunschweig, Germany

    4 h-index

    5 publications

    388 citations

  5. United States Naval Research Laboratory

    Washington, United States

    4 h-index

    5 publications

    858 citations

  6. Virginia Tech

    Blacksburg, United States

    4 h-index

    12 publications

    168 citations

  7. Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)

    Cologne, Germany

    4 h-index

    6 publications

    318 citations

  8. Florida State University

    Tallahassee, United States

    3 h-index

    3 publications

    89 citations

1–8 of 96

Venues

  1. SIAM Journal on Scientific Computing

    6 publications · 318 citations

    6

    h-index

  2. Journal of Computational Physics

    5 publications · 487 citations

    5

    h-index

  3. Tellus A Dynamic Meteorology and Oceanography

    5 publications · 744 citations

    5

    h-index

  4. SIAM Journal on Numerical Analysis

    5 publications · 300 citations

    5

    h-index

  5. 4

    h-index

1–5