A posteriori error estimates in quantities of interest for the finite element heterogeneous multiscale method

Assyr Abdulle; Achim Nonnenmacher

doi:10.1002/num.21769

A posteriori error estimates in quantities of interest for the finite element heterogeneous multiscale method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21769 ◽

2013 ◽

Vol 29 (5) ◽

pp. 1629-1656 ◽

Cited By ~ 9

Author(s):

Assyr Abdulle ◽

Achim Nonnenmacher

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Multiscale Method ◽

A Posteriori ◽

A Posteriori Error ◽

Heterogeneous Multiscale ◽

Quantities Of Interest

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A posteriori error estimates for combined finite volume–finite element discretizations of reactive transport equations on nonmatching grids

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.08.017 ◽

2011 ◽

Vol 200 (5-8) ◽

pp. 597-613 ◽

Cited By ~ 9

Author(s):

Danielle Hilhorst ◽

Martin Vohralík

Keyword(s):

Finite Element ◽

Error Estimates ◽

Reactive Transport ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Nonmatching Grids ◽

Finite Element Discretizations ◽

Element Discretizations

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Recovery type a posteriori error estimates in finite element methods

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf02941963 ◽

2001 ◽

Vol 8 (2) ◽

Cited By ~ 3

Author(s):

Zhimin Zhang ◽

Ningning Yan

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Type A ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates of finite element method for the time-dependent Oseen equations

Applicable Analysis ◽

10.1080/00036811.2015.1055467 ◽

2015 ◽

Vol 95 (5) ◽

pp. 1144-1163 ◽

Cited By ~ 1

Author(s):

Tong Zhang ◽

Jing Zhao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

A Posteriori ◽

A Posteriori Error ◽

Oseen Equations ◽

Element Method

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A posteriori error estimates¶for nonconforming finite element schemes

CALCOLO ◽

10.1007/s100920050027 ◽

1999 ◽

Vol 36 (3) ◽

pp. 129-141 ◽

Cited By ~ 14

Author(s):

Guido Kanschat ◽

Franz-Theo Suttmeier

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Nonconforming Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Schemes

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Two-grid finite element method and its a posteriori error estimates for a nonmonotone quasilinear elliptic problem under minimal regularity of data

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.04.006 ◽

2018 ◽

Vol 76 (1) ◽

pp. 98-112 ◽

Cited By ~ 1

Author(s):

Chunjia Bi ◽

Cheng Wang ◽

Yanping Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Elliptic Problem ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Quasilinear Elliptic Problem ◽

Quasilinear Elliptic

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A posteriori error estimates for mixed finite element solutions of convex optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.11.015 ◽

2008 ◽

Vol 211 (1) ◽

pp. 76-89 ◽

Cited By ~ 67

Author(s):

Yanping Chen ◽

Wenbin Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for mixed finite element approximations of elliptic problems

Numerische Mathematik ◽

10.1007/s00211-007-0121-y ◽

2007 ◽

Vol 108 (3) ◽

pp. 487-500 ◽

Cited By ~ 28

Author(s):

Mats G. Larson ◽

Axel Målqvist

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations

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On some a posteriori error estimates in the finite element method

10.14264/uql.2014.532 ◽

1981 ◽

Cited By ~ 1

Author(s):

Anthony Dennis Miller

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

The Finite Element Method ◽

A Posteriori Error ◽

Element Method

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A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems

CALCOLO ◽

10.1007/s10092-014-0122-z ◽

2014 ◽

Vol 52 (4) ◽

pp. 407-424 ◽

Cited By ~ 2

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems

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A posteriori error estimates in finite element methods for general Friedrichs' systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00093-6 ◽

2000 ◽

Vol 184 (1) ◽

pp. 39-47 ◽

Cited By ~ 3

Author(s):

B. Achchab ◽

A. Agouzal ◽

J. Baranger ◽

J.F. Maitre

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Friedrichs Systems

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