Concepedia

Fully Discrete Error Analysis

Fully Discrete Error Analysis is a methodological framework within numerical analysis that characterizes the discretization-induced deviation between an exact solution and its fully discrete numerical approximation by simultaneously accounting for spatial, temporal, and algebraic discretizations in a unified a priori or a posteriori error estimation context.

40

Publications

1.6K

Citations

75

Authors

62

Institutions

Publications per year

2017–2026

9

Parents

Publications

40

Oversampling for the Multiscale Finite Element Method

Patrick Henning, Daniel Peterseim · Multiscale Modeling and Simulation · 2013 · 175 citations · Full text

, , +17

Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations

Buyang Li, Huadong Gao, Weiwei Sun · SIAM Journal on Numerical Analysis · 2014 · 135 citations · Full text

, , +17

Optimal Error Estimates for the Fully Discrete Interior Penalty DG Method for the Wave Equation

Marcus J. Grote, Dominik Schötzau · Journal of Scientific Computing · 2008 · 95 citations

, , +14

Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits

Xiaobing Feng, Andreas Prohl · Mathematics of Computation · 2003 · 83 citations · Full text

, , +17

Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model

Yekaterina Epshteyn, Ahmet Izmirlioglu · Journal of Scientific Computing · 2009 · 59 citations

, , +15

1–5 of 40

Authors

75

  1. JM
    Jerry M. Mendel

    University of Southern California, United States

    2 publications · 105 citations

    2

    h-index

  2. MG
    Max Gunzburger

    Florida State University, United States

    2 publications · 84 citations

    2

    h-index

  3. JN
    Julia Novo

    Universidad Autónoma de Madrid, Spain

    2 publications · 35 citations

    2

    h-index

  4. BG
    Bosco Garcı́a-Archilla

    Universidad de Sevilla, Spain

    2 publications · 35 citations

    2

    h-index

  5. JD
    Javier de Frutos

    Universidad de Valladolid, Spain

    2 publications · 35 citations

    2

    h-index

1–5 of 75

Institutions

62

  1. University of Crete

    Rethymno, Greece

    3 h-index

    3 publications

    94 citations

  2. Beijing Computational Science Research Center

    Beijing, China

    2 h-index

    2 publications

    31 citations

  3. University of Tennessee at Knoxville

    Knoxville, United States

    2 h-index

    2 publications

    97 citations

  4. Universidad de Valladolid

    Valladolid, Spain

    2 h-index

    2 publications

    35 citations

  5. University of Maryland, College Park

    College Park, United States

    2 h-index

    2 publications

    57 citations

  6. Carnegie Mellon University

    Pittsburgh, United States

    2 h-index

    2 publications

    93 citations

  7. Xi'an Jiaotong University

    Xi'an, China

    2 h-index

    4 publications

    56 citations

  8. FORTH Institute of Applied and Computational Mathematics

    Heraklion, Greece

    2 h-index

    2 publications

    76 citations

1–8 of 62

Venues

  1. SIAM Journal on Numerical Analysis

    10 publications · 452 citations

    10

    h-index

  2. IMA Journal of Numerical Analysis

    5 publications · 140 citations

    5

    h-index

  3. Mathematics of Computation

    MCOM · 5 publications · 203 citations

    5

    h-index

  4. Journal of Scientific Computing

    5 publications · 232 citations

    5

    h-index

  5. Applied Numerical Mathematics

    2 publications · 50 citations

    2

    h-index

1–5