A posteriori estimates for conforming Kirchhoff plate elements

Tom Gustafsson; Rolf Stenberg; Juha Videman

doi:10.1137/17M1137334

A posteriori estimates for conforming Kirchhoff plate elements

Tom Gustafsson^*, Rolf Stenberg, Juha Videman

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

6 Sitaatiot (Scopus)

180 Lataukset (Pure)

Abstrakti

We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported, and free boundary conditions subject to both distributed and concentrated (point and line) loads. Extensive numerical computations are presented to verify the functionality of the estimators.

Alkuperäiskieli	Englanti
Sivut	A1386-A1407
Sivumäärä	22
Julkaisu	SIAM Journal on Scientific Computing
Vuosikerta	40
Numero	3
DOI - pysyväislinkit	https://doi.org/10.1137/17M1137334
Tila	Julkaistu - 2018
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1137/17M1137334

17m1137334Final published version, 1,25 MB

Siteeraa tätä

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title = "A posteriori estimates for conforming Kirchhoff plate elements",

abstract = "We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported, and free boundary conditions subject to both distributed and concentrated (point and line) loads. Extensive numerical computations are presented to verify the functionality of the estimators.",

keywords = "Kirchhoff plate, C-1 elements, a posteriori estimates, DISCONTINUOUS GALERKIN METHOD, C-0 FINITE-ELEMENTS, BOUNDARY-CONDITIONS, ERROR ESTIMATOR, PENALTY METHOD, APPROXIMATIONS, FAMILY",

author = "Tom Gustafsson and Rolf Stenberg and Juha Videman",

year = "2018",

doi = "10.1137/17M1137334",

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T1 - A posteriori estimates for conforming Kirchhoff plate elements

AU - Gustafsson, Tom

AU - Stenberg, Rolf

AU - Videman, Juha

PY - 2018

Y1 - 2018

N2 - We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported, and free boundary conditions subject to both distributed and concentrated (point and line) loads. Extensive numerical computations are presented to verify the functionality of the estimators.

AB - We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported, and free boundary conditions subject to both distributed and concentrated (point and line) loads. Extensive numerical computations are presented to verify the functionality of the estimators.

KW - Kirchhoff plate

KW - C-1 elements

KW - a posteriori estimates

KW - DISCONTINUOUS GALERKIN METHOD

KW - C-0 FINITE-ELEMENTS

KW - BOUNDARY-CONDITIONS

KW - ERROR ESTIMATOR

KW - PENALTY METHOD

KW - APPROXIMATIONS

KW - FAMILY

U2 - 10.1137/17M1137334

DO - 10.1137/17M1137334

M3 - Article

VL - 40

SP - A1386-A1407

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

SN - 1064-8275

IS - 3

ER -

A posteriori estimates for conforming Kirchhoff plate elements

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