A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/20094108 ◽

2009 ◽

Vol 4 (1) ◽

pp. 163-182

Author(s):

V. Lleras

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Frictional Contact ◽

Finite Element Approximation ◽

Contact Problems ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Element Approximation ◽

Stabilized Lagrange Multiplier Method

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A stabilized Lagrange multiplier method for the enriched finite-element approximation of Tresca contact problems of cracked elastic bodies

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.11.022 ◽

2014 ◽

Vol 270 ◽

pp. 178-200 ◽

Author(s):

S. Amdouni ◽

M. Moakher ◽

Y. Renard

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Finite Element Approximation ◽

Contact Problems ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Element Approximation ◽

Elastic Bodies ◽

Enriched Finite Element ◽

Stabilized Lagrange Multiplier Method

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A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2011072 ◽

2012 ◽

Vol 46 (4) ◽

pp. 813-839 ◽

Author(s):

Saber Amdouni ◽

Patrick Hild ◽

Vanessa Lleras ◽

Maher Moakher ◽

Yves Renard

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Finite Element Approximation ◽

Contact Problems ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Element Approximation ◽

Elastic Bodies ◽

Enriched Finite Element ◽

Stabilized Lagrange Multiplier Method

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A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics

Numerische Mathematik ◽

10.1007/s00211-009-0273-z ◽

2009 ◽

Vol 115 (1) ◽

pp. 101-129 ◽

Author(s):

Patrick Hild ◽

Yves Renard

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Finite Element Approximation ◽

Contact Problems ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Element Approximation ◽

Stabilized Lagrange Multiplier Method

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Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113161 ◽

2020 ◽

Vol 368 ◽

pp. 113161

Author(s):

Andrea Franceschini ◽

Nicola Castelletto ◽

Joshua A. White ◽

Hamdi A. Tchelepi

Keyword(s):

Contact Mechanics ◽

Lagrange Multiplier ◽

Frictional Contact ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Stabilized Lagrange Multiplier Method

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Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.05.011 ◽

2010 ◽

Vol 199 (41-44) ◽

pp. 2680-2686 ◽

Author(s):

Erik Burman ◽

Peter Hansbo

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Finite Element Methods ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Fictitious Domain ◽

Stabilized Lagrange Multiplier Method ◽

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Thermoelastic frictional contact problems: Modelling, finite element approximation and numerical realization

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(93)90122-e ◽

1993 ◽

Vol 105 (2) ◽

pp. 181-210 ◽

Author(s):

Lars Johansson ◽

Anders Klarbring

Keyword(s):

Finite Element ◽

Frictional Contact ◽

Finite Element Approximation ◽

Contact Problems ◽

Numerical Realization ◽

Element Approximation

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A Lagrange multiplier method for the finite element solution of frictionless contact problems

Mathematical and Computer Modelling ◽

10.1016/s0895-7177(98)00128-9 ◽

1998 ◽

Vol 28 (4-8) ◽

pp. 373-384 ◽

Author(s):

P. Papadopoulos ◽

J.M. Solberg

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Contact Problems ◽

Lagrange Multiplier Method ◽

Finite Element Solution ◽

Multiplier Method ◽

Element Solution ◽

Frictionless Contact

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Lagrange Multiplier Method for Treatment of Nonlinear Multi Freedom Constraints in Dynamic Finite Element Analysis of Truss System Subjected to Harmonic Load

10.1007/978-3-030-86001-1_34 ◽

2021 ◽

pp. 290-299

Author(s):

Vu Thi Bich Quyen ◽

Dao Ngoc Tien ◽

Tran Thi Thuy Van ◽

Pham Van Dat

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Lagrange Multiplier ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Harmonic Load ◽

Element Analysis ◽

Dynamic Finite Element ◽

Dynamic Finite Element Analysis

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Finite-element solution of a model mechanical problem with friction based on a smoothing Lagrange multiplier method

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512010071 ◽

2012 ◽

Vol 52 (1) ◽

pp. 20-30 ◽

Author(s):

N. N. Maksimova ◽

R. V. Namm

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Lagrange Multiplier Method ◽

Finite Element Solution ◽

Multiplier Method ◽

Element Solution ◽

Mechanical Problem

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A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes

Numerische Mathematik ◽

10.1007/s00211-005-0587-4 ◽

2005 ◽

Vol 100 (1) ◽

pp. 91-115 ◽

Author(s):

Peter Hansbo ◽

Carlo Lovadina ◽

Ilaria Perugia ◽

Giancarlo Sangalli

Keyword(s):

Finite Element ◽

Lagrange Multiplier ◽

Lagrange Multiplier Method ◽

Interface Problems ◽

Finite Element Solution ◽

Multiplier Method ◽

Element Solution ◽

Elliptic Interface Problems

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