Statically admissible finite element solution of the thin plate bending problem with a posteriori error estimation

Paulina Świątkiewicz; Zdzisław Więckowski

doi:10.1002/nme.6295

Statically admissible finite element solution of the thin plate bending problem with a posteriori error estimation

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6295 ◽

2020 ◽

Vol 121 (9) ◽

pp. 1977-2000

Author(s):

Paulina Świątkiewicz ◽

Zdzisław Więckowski

Keyword(s):

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

Plate Bending ◽

Element Solution ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Thin Plate Bending ◽

Plate Bending Problem

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Some notes on “Statically admissible FE solution of the thin plate bending problem with a posteriori error estimation” by Paulina Świa̧tkiewicz and Zdzisław Wiȩckowski (International Journal for Numerical Methods in Engineering, 2020)

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6398 ◽

2020 ◽

Vol 121 (18) ◽

pp. 4230-4233

Author(s):

J. P. Moitinho de Almeida ◽

E. A. W. Maunder

Keyword(s):

Numerical Methods ◽

Error Estimation ◽

Thin Plate ◽

Posteriori Error ◽

Plate Bending ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Thin Plate Bending ◽

Plate Bending Problem

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Element-wise A Posteriori Error Estimation of Finite Element Analyses for Dynamic Plate Bending Problems

Journal of the Society of Naval Architects of Japan ◽

10.2534/jjasnaoe1968.1997.182_571 ◽

1997 ◽

Vol 1997 (182) ◽

pp. 571-578

Author(s):

Mitsuru Kitamura ◽

YuHua Chen ◽

Hisashi Nobukawa ◽

Hideomi Ohtsubo

Keyword(s):

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Plate Bending ◽

A Posteriori ◽

Finite Element Analyses ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Bending Problems

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Elementwise A Posteriori Error Estimation of Finite Element Solutins for Three-Dimensional Elastic Proflems and Plate Bending Problems.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.57.1979 ◽

1991 ◽

Vol 57 (541) ◽

pp. 1979-1985 ◽

Cited By ~ 2

Author(s):

Hideomi OHTSUBO ◽

Mitsuru KITAMURA

Keyword(s):

Finite Element ◽

Error Estimation ◽

Three Dimensional ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Plate Bending ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Bending Problems

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Element-wise A Posteriori Error Estimation of Finite Element Analyses for Dynamic Plate Bending Problems

Journal of the Society of Naval Architects of Japan ◽

10.2534/jjasnaoe1968.1998.343 ◽

1998 ◽

Vol 1998 (183) ◽

pp. 343-349

Author(s):

Mitsuru Kitamura ◽

YuHua Chen ◽

Hisashi Nobukawa

Keyword(s):

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Plate Bending ◽

A Posteriori ◽

Finite Element Analyses ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Bending Problems

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Robust a posteriori error estimation for the nonconforming Fortin--Soulie finite element approximation

Mathematics of Computation ◽

10.1090/s0025-5718-08-02116-9 ◽

2008 ◽

Vol 77 (264) ◽

pp. 1917-1939 ◽

Cited By ~ 8

Author(s):

Mark Ainsworth ◽

Richard Rankin

Keyword(s):

Finite Element ◽

Error Estimation ◽

Finite Element Approximation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Element Approximation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A Study on A-Posteriori Error Estimation of Finite Element Analysis for Ship Structure (1-st Report)

Journal of the Society of Naval Architects of Japan ◽

10.2534/jjasnaoe1968.1991.170_463 ◽

1991 ◽

Vol 1991 (170) ◽

pp. 463-471

Author(s):

Hideomi Ohtsubo ◽

Mitsuru Kitamura

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Element Analysis ◽

Ship Structure ◽

A Posteriori Error

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A posteriori error estimation for standard finite element analysis

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(98)00009-7 ◽

1998 ◽

Vol 163 (1-4) ◽

pp. 141-157 ◽

Cited By ~ 38

Author(s):

Pedro Díez ◽

Juan JoséEgozcue ◽

Antonio Huerta

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Element Analysis ◽

A Posteriori Error

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A Posteriori Error Estimation in Finite Element Analysis for Elastodynamic Problem

Journal of the Society of Naval Architects of Japan ◽

10.2534/jjasnaoe1968.1993.255 ◽

1993 ◽

Vol 1993 (173) ◽

pp. 255-261

Author(s):

Hideomi Ohtsubo ◽

Katsuyuki Suzuki ◽

Koichi Sato

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Element Analysis ◽

A Posteriori Error ◽

Elastodynamic Problem

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A Posteriori Error Estimation Techniques for Finite Element Methods

10.1093/acprof:oso/9780199679423.001.0001 ◽

2013 ◽

Cited By ~ 128

Author(s):

Rüdiger Verfürth

Keyword(s):

Finite Element ◽

Error Estimation ◽

Finite Element Methods ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Estimation Techniques

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Robust a posteriori error estimation for finite element approximation to (curl) problem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.06.007 ◽

2016 ◽

Vol 309 ◽

pp. 182-201 ◽

Cited By ~ 3

Author(s):

Zhiqiang Cai ◽

Shuhao Cao ◽

Rob Falgout

Keyword(s):

Finite Element ◽

Error Estimation ◽

Finite Element Approximation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Element Approximation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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