On the connection between the stabilized Lagrange multiplier and Nitsche’s methods

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On the connection between the stabilized Lagrange multiplier and Nitsche’s methods. / Juntunen, Mika.

In: Numerische Mathematik, Vol. 131, No. 3, 13.11.2015, p. 453-471.

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@article{31008dd3c41348ea85ffa7766145b0b9,
title = "On the connection between the stabilized Lagrange multiplier and Nitsche’s methods",
abstract = "We derive Nitsche’s method for the domain decomposition through the stabilized Lagrange multiplier method. Taking material parameters carefully into account this derivation naturally introduces parameter weighted average flux and stabilizing terms to Nitsche’s method. We show stability and a priori analyses in the mesh dependent norms for both the stabilized method and Nitsche’s method, and discuss connections between the proposed methods.",
keywords = "65N30, 65N55",
author = "Mika Juntunen",
year = "2015",
month = "11",
day = "13",
doi = "10.1007/s00211-015-0701-1",
language = "English",
volume = "131",
pages = "453--471",
journal = "Numerische Mathematik",
issn = "0029-599X",
number = "3",

}

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TY - JOUR

T1 - On the connection between the stabilized Lagrange multiplier and Nitsche’s methods

AU - Juntunen, Mika

PY - 2015/11/13

Y1 - 2015/11/13

N2 - We derive Nitsche’s method for the domain decomposition through the stabilized Lagrange multiplier method. Taking material parameters carefully into account this derivation naturally introduces parameter weighted average flux and stabilizing terms to Nitsche’s method. We show stability and a priori analyses in the mesh dependent norms for both the stabilized method and Nitsche’s method, and discuss connections between the proposed methods.

AB - We derive Nitsche’s method for the domain decomposition through the stabilized Lagrange multiplier method. Taking material parameters carefully into account this derivation naturally introduces parameter weighted average flux and stabilizing terms to Nitsche’s method. We show stability and a priori analyses in the mesh dependent norms for both the stabilized method and Nitsche’s method, and discuss connections between the proposed methods.

KW - 65N30

KW - 65N55

UR - http://www.scopus.com/inward/record.url?scp=84941339496&partnerID=8YFLogxK

U2 - 10.1007/s00211-015-0701-1

DO - 10.1007/s00211-015-0701-1

M3 - Article

VL - 131

SP - 453

EP - 471

JO - Numerische Mathematik

JF - Numerische Mathematik

SN - 0029-599X

IS - 3

ER -

ID: 10272137