Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems

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Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems. / Korneev, V.; Kostylev, V.

в: Lobachevskii Journal of Mathematics, Том 39, № 7, 01.09.2018, стр. 904-915.

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Korneev, V. ; Kostylev, V. / Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems. в: Lobachevskii Journal of Mathematics. 2018 ; Том 39, № 7. стр. 904-915.

BibTeX

@article{f0c635b9f49e44458d0a68eb7da976d9,

title = "Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems",

abstract = "For the efficient error control of numerical solutions of the solid mechanics problems, the two requirements are important: an a posteriori error bound has sufficient accuracy and computation of the bound is cheap in respect to the arithmetic work. The first requirement can be formulated in a more specific form of consistency of an a posteriori bound, assuming that it is not improvable in the order and, at least, coincides in the order with the a priori error estimate. Several new a posteriori error bounds are presented, which improve accuracy and reduce the computational cost. Also for the first time a new consistent guaranteed a posteriori error bound is suggested.",

keywords = "a posteriori error bounds, Dual plate bending problem, finite element method, method of forces for plate in bending, self equilibrated resultants",

author = "V. Korneev and V. Kostylev",

year = "2018",

month = sep,

day = "1",

doi = "10.1134/S1995080218070156",

language = "English",

volume = "39",

pages = "904--915",

journal = "Lobachevskii Journal of Mathematics",

issn = "1995-0802",

publisher = "Pleiades Publishing",

number = "7",

}

RIS

TY - JOUR

T1 - Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems

AU - Korneev, V.

AU - Kostylev, V.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - For the efficient error control of numerical solutions of the solid mechanics problems, the two requirements are important: an a posteriori error bound has sufficient accuracy and computation of the bound is cheap in respect to the arithmetic work. The first requirement can be formulated in a more specific form of consistency of an a posteriori bound, assuming that it is not improvable in the order and, at least, coincides in the order with the a priori error estimate. Several new a posteriori error bounds are presented, which improve accuracy and reduce the computational cost. Also for the first time a new consistent guaranteed a posteriori error bound is suggested.

AB - For the efficient error control of numerical solutions of the solid mechanics problems, the two requirements are important: an a posteriori error bound has sufficient accuracy and computation of the bound is cheap in respect to the arithmetic work. The first requirement can be formulated in a more specific form of consistency of an a posteriori bound, assuming that it is not improvable in the order and, at least, coincides in the order with the a priori error estimate. Several new a posteriori error bounds are presented, which improve accuracy and reduce the computational cost. Also for the first time a new consistent guaranteed a posteriori error bound is suggested.

KW - a posteriori error bounds

KW - Dual plate bending problem

KW - finite element method

KW - method of forces for plate in bending

KW - self equilibrated resultants

UR - http://www.scopus.com/inward/record.url?scp=85053538118&partnerID=8YFLogxK

U2 - 10.1134/S1995080218070156

DO - 10.1134/S1995080218070156

M3 - Article

AN - SCOPUS:85053538118

VL - 39

SP - 904

EP - 915

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 7

ER -

ID: 71957580

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