On hp-adaptive solution of thin shells of revolution

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On hp-adaptive solution of thin shells of revolution. / Hakula, Harri; Tuominen, Tomi.

In: IOP CONFERENCE SERIES: MATERIALS SCIENCE AND ENGINEERING, Vol. 10, No. 1, 012163, 2014.

Research output: Scientific - peer-reviewArticle

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Hakula, Harri; Tuominen, Tomi / On hp-adaptive solution of thin shells of revolution.

In: IOP CONFERENCE SERIES: MATERIALS SCIENCE AND ENGINEERING, Vol. 10, No. 1, 012163, 2014.

Research output: Scientific - peer-reviewArticle

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@article{47f96ff015be49878fc8e62f1c4dba1d,
title = "On hp-adaptive solution of thin shells of revolution",
author = "Harri Hakula and Tomi Tuominen",
year = "2014",
doi = "10.1088/1757-899X/10/1/012163",
volume = "10",
journal = "IOP CONFERENCE SERIES: MATERIALS SCIENCE AND ENGINEERING",
issn = "1757-8981",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS - Download

TY - JOUR

T1 - On hp-adaptive solution of thin shells of revolution

AU - Hakula,Harri

AU - Tuominen,Tomi

PY - 2014

Y1 - 2014

N2 - We present an a posteriori hp-adaptive algorithm for shells. In an hp-solver there are two ways to increase accuracy: one can either refine the mesh (h-step) or increase the degree of the polynomial (p-step). In the adaptive setting it is also necessary to have the capability to reverse already made decisions. Our p-approach is influenced by work of Houston and Süli on the estimation of Sobolev regularity and analycity. Due to the possibility of numerical locking we initialize our algorithm only after initial probing of the energy distribution of the solution.

AB - We present an a posteriori hp-adaptive algorithm for shells. In an hp-solver there are two ways to increase accuracy: one can either refine the mesh (h-step) or increase the degree of the polynomial (p-step). In the adaptive setting it is also necessary to have the capability to reverse already made decisions. Our p-approach is influenced by work of Houston and Süli on the estimation of Sobolev regularity and analycity. Due to the possibility of numerical locking we initialize our algorithm only after initial probing of the energy distribution of the solution.

UR - http://www.scopus.com/inward/record.url?scp=84907695757&partnerID=8YFLogxK

U2 - 10.1088/1757-899X/10/1/012163

DO - 10.1088/1757-899X/10/1/012163

M3 - Article

VL - 10

JO - IOP CONFERENCE SERIES: MATERIALS SCIENCE AND ENGINEERING

T2 - IOP CONFERENCE SERIES: MATERIALS SCIENCE AND ENGINEERING

JF - IOP CONFERENCE SERIES: MATERIALS SCIENCE AND ENGINEERING

SN - 1757-8981

IS - 1

M1 - 012163

ER -

ID: 9074715