Efficient goal-oriented global error estimators for BDF methods using discrete adjoints

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.09.032 ◽

2017 ◽

Vol 316 ◽

pp. 195-212 ◽

Cited By ~ 1

Author(s):

Dörte Jando

Keyword(s):

Global Error ◽

Error Estimators ◽

Bdf Methods ◽

Discrete Adjoints

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NUMERICAL TREATMENT AND GLOBAL ERROR ESTIMATION OF NATURAL CONVECTIVE EFFECTS ON GLIDING MOTION OF BACTERIA ON A POWER-LAW NANOSLIME THROUGH A NON-DARCY POROUS MEDIUM

Journal of Porous Media ◽

10.1615/jpormedia.2015012459 ◽

2015 ◽

Vol 18 (11) ◽

pp. 1091-1106 ◽

Cited By ~ 2

Author(s):

Mohamed Abou-zeid ◽

Abeer A. Shaaban ◽

Muneer Y. Alnour

Keyword(s):

Porous Medium ◽

Error Estimation ◽

Power Law ◽

Global Error ◽

Numerical Treatment ◽

Global Error Estimation

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Performance of Error Estimators for Classification

Current Bioinformatics ◽

10.2174/157489310790596385 ◽

2010 ◽

Vol 5 (1) ◽

pp. 53-67 ◽

Cited By ~ 34

Author(s):

Edward Dougherty ◽

Chao Sima ◽

> Hua ◽

Blaise Hanczar ◽

Ulisses Braga-Neto

Keyword(s):

Error Estimators

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Accurate Gradient Computations for Shape Optimization via Discrete Adjoints in CFD-Related Multiphysics Problems

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - New Results in Numerical and Experimental Fluid Mechanics XII ◽

10.1007/978-3-030-25253-3_3 ◽

2019 ◽

pp. 27-36

Author(s):

Ole Burghardt ◽

Nicolas R. Gauger

Keyword(s):

Shape Optimization ◽

Discrete Adjoints ◽

Multiphysics Problems

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Stepwise Global Error Control in an Explicit Runge-Kutta Method Using Local Extrapolation with High-Order Selective Quenching

Journal of Mathematics Research ◽

10.5539/jmr.v3n2p126 ◽

2011 ◽

Vol 3 (2) ◽

Author(s):

Justin Steven Prentice

Keyword(s):

Error Control ◽

High Order ◽

Global Error ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta ◽

Local Extrapolation

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Global error bounds for the extended vertical LCP of B-type matrices

Computational and Applied Mathematics ◽

10.1007/s40314-021-01528-0 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Hehui Wang ◽

Haibin Zhang ◽

Chaoqian Li

Keyword(s):

Error Bounds ◽

Global Error

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Implicit residual error estimators for the coupling of finite elements and boundary elements

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19990725)22:11<923::aid-mma27>3.0.co;2-y ◽

1999 ◽

Vol 22 (11) ◽

pp. 923-936 ◽

Cited By ~ 8

Author(s):

Ulrich Brink ◽

Ernst P. Stephan

Keyword(s):

Finite Elements ◽

Boundary Elements ◽

Residual Error ◽

Error Estimators

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Modified Implicit–Explicit BDF Methods for Nonlinear Parabolic Equations

BIT Numerical Mathematics ◽

10.1023/b:bitn.0000007057.13132.b3 ◽

2003 ◽

Vol 43 (3) ◽

pp. 467-483 ◽

Cited By ~ 8

Author(s):

Georgios Akrivis ◽

Fotini Karakatsani

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Bdf Methods ◽

Nonlinear Parabolic

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Global Error versus Tolerance for Explicit Runge-Kutta Methods

IMA Journal of Numerical Analysis ◽

10.1093/imanum/11.4.457 ◽

1991 ◽

Vol 11 (4) ◽

pp. 457-480 ◽

Cited By ~ 25

Author(s):

DESMOND J. HIGHAM

Keyword(s):

Global Error ◽

Runge Kutta

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A Singly Diagonally Implicit Two-Step Peer Triple with Global Error Control for Stiff Ordinary Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/140979952 ◽

2015 ◽

Vol 37 (3) ◽

pp. A1593-A1613 ◽

Cited By ~ 11

Author(s):

G. Yu. Kulikov ◽

R. Weiner

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Control ◽

Global Error ◽

Stiff Ordinary Differential Equations

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Global Error Estimates for ODEs Based on Extrapolation Methods

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0906001 ◽

1985 ◽

Vol 6 (1) ◽

pp. 1-14 ◽

Cited By ~ 13

Author(s):

L. F. Shampine ◽

L. S. Baca

Keyword(s):

Error Estimates ◽

Global Error ◽

Extrapolation Methods ◽

Global Error Estimates

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