Nitsche's Method for Kirchhoff Plates

Tom Gustafsson; Rolf Stenberg; Juha Videman

doi:10.1137/20M1349801

Nitsche's Method for Kirchhoff Plates

Tom Gustafsson, Rolf Stenberg, Juha Videman

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

84 Lataukset (Pure)

Abstrakti

We introduce Nitsche's method for the numerical approximation of the Kirchhoff--Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.

Alkuperäiskieli	Englanti
Sivut	A1651–A1670
Sivumäärä	20
Julkaisu	SIAM Journal on Scientific Computing
Vuosikerta	43
Numero	3
DOI - pysyväislinkit	https://doi.org/10.1137/20M1349801
Tila	Julkaistu - toukok. 2021
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1137/20M1349801

Nitsche's Method for Kirchhoff Plates.20m1349801Final published version, 1,62 MB

OpenUrl-saatavuus

Koko teksti

Muut tiedostot ja linkit

Linkki julkaisuun Scopuksessa

Effektiva finita element metoder inom kontinuummekanik
Stenberg, R., Ojalammi, A., Lederer, P., Gustafsson, T., Hirvensalo, M., Barbarino, G., Malinen, M., Nyman, L. & Bisch, J.
01/09/2019 → 31/12/2022
Projekti: Academy of Finland: Other research funding

Siteeraa tätä

@article{2d4d09f4636d4128bf5ce72fdf234fe2,

title = "Nitsche's Method for Kirchhoff Plates",

abstract = "We introduce Nitsche's method for the numerical approximation of the Kirchhoff--Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.",

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

year = "2021",

month = may,

doi = "10.1137/20M1349801",

language = "English",

volume = "43",

pages = "A1651–A1670",

journal = "SIAM Journal on Scientific Computing",

issn = "1064-8275",

number = "3",

}

TY - JOUR

T1 - Nitsche's Method for Kirchhoff Plates

AU - Gustafsson, Tom

AU - Stenberg, Rolf

AU - Videman, Juha

PY - 2021/5

Y1 - 2021/5

N2 - We introduce Nitsche's method for the numerical approximation of the Kirchhoff--Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.

AB - We introduce Nitsche's method for the numerical approximation of the Kirchhoff--Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.

UR - http://www.scopus.com/inward/record.url?scp=85106551389&partnerID=8YFLogxK

U2 - 10.1137/20M1349801

DO - 10.1137/20M1349801

M3 - Article

VL - 43

SP - A1651–A1670

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

SN - 1064-8275

IS - 3

ER -

Nitsche's Method for Kirchhoff Plates

Abstrakti

Pääsy asiakirjaan

OpenUrl-saatavuus

Muut tiedostot ja linkit

Sormenjälki

Projektit

Effektiva finita element metoder inom kontinuummekanik

Siteeraa tätä