Concepedia

Residual-based Error Estimation

Residual-Based Error Estimation is an error assessment method in adaptive mesh refinement that quantifies discretization error by evaluating the residual of the governing equations on a computed solution, distinguishing itself from other error estimation techniques through its reliance on local residuals as indicators for mesh adaptation.

277

Publications

12.5K

Citations

632

Authors

348

Institutions

Publications per year

2017–2026

64

Parents

Publications

277

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

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

, , +17

A unified approach to a posteriori error estimation using element residual methods

Mark Ainsworth, J. Tinsley Oden · Numerische Mathematik · 1993 · 408 citations

, , +9

Exponential convergence and <i>H‐c</i> multiquadric collocation method for partial differential equations

Alexander H.‐D. Cheng, Michael A. Golberg, E.J. Kansa et al. · Numerical Methods for Partial Differential Equations · 2003 · 376 citations

, , +16

Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept

Roland Becker, Hartmut Kapp, Rolf Rannacher · SIAM Journal on Control and Optimization · 2000 · 325 citations

, , +16

Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics

George C. Hsiao, R. E. Kleinman · IEEE Transactions on Antennas and Propagation · 1997 · 312 citations

, , +16

1–5 of 277

Authors

632

  1. CC
    Carsten Carstensen

    Humboldt-Universität zu Berlin, Germany

    14 publications · 631 citations

    13

    h-index

  2. DP
    Dirk Praetorius

    TU Wien, Austria

    7 publications · 225 citations

    7

    h-index

  3. MS
    Mehmet Sezer

    Muğla University, Türkiye

    5 publications · 115 citations

    5

    h-index

  4. MF
    Michael Feischl

    TU Wien, Austria

    5 publications · 161 citations

    5

    h-index

  5. BW
    Barbara Wohlmuth

    Technical University of Munich, Germany

    4 publications · 448 citations

    4

    h-index

1–5 of 632

Institutions

348

  1. TU Wien

    Vienna, Austria

    8 h-index

    21 publications

    738 citations

  2. Leibniz University Hannover

    Hanover, Germany

    7 h-index

    14 publications

    468 citations

  3. Manisa Celal Bayar University

    Manisa, Türkiye

    6 h-index

    11 publications

    261 citations

  4. Istituto di Matematica Applicata e Tecnologie Informatiche

    Pavia, Italy

    4 h-index

    4 publications

    286 citations

  5. University of Maryland, College Park

    College Park, United States

    4 h-index

    5 publications

    290 citations

  6. University of Augsburg

    Augsburg, Germany

    4 h-index

    8 publications

    891 citations

  7. University of Delaware

    Newark, United States

    4 h-index

    6 publications

    738 citations

  8. The University of Texas at Austin

    Austin, United States

    4 h-index

    11 publications

    1.2K citations

1–8 of 348

Venues

  1. SIAM Journal on Numerical Analysis

    19 publications · 950 citations

    16

    h-index

  2. 11

    h-index

  3. Numerische Mathematik

    9 publications · 900 citations

    9

    h-index

  4. 9

    h-index

  5. SIAM Journal on Scientific Computing

    7 publications · 235 citations

    7

    h-index

1–5