A priori error analysis of the stabilized Lagrange multiplier method for elliptic problems with natural norms

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1199-3 ◽

2018 ◽

Vol 59 (1-2) ◽

pp. 723-739

Author(s):

Sanjib Kumar Acharya ◽

Ajit Patel

Keyword(s):

Error Analysis ◽

Lagrange Multiplier ◽

A Priori ◽

Elliptic Problems ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

A Priori Error Analysis ◽

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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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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An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900371003 ◽

2000 ◽

Vol 38 (5) ◽

pp. 1676-1706 ◽

Author(s):

Paul Castillo ◽

Bernardo Cockburn ◽

Ilaria Perugia ◽

Dominik Schötzau

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

A Priori Error Analysis

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Stabilized Lagrange multiplier method for elliptic and parabolic interface problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.05.011 ◽

2017 ◽

Vol 120 ◽

pp. 287-304 ◽

Author(s):

Ajit Patel ◽

Sanjib Kumar Acharya ◽

Amiya Kumar Pani

Keyword(s):

Lagrange Multiplier ◽

Lagrange Multiplier Method ◽

Interface Problems ◽

Multiplier Method ◽

Stabilized Lagrange Multiplier Method

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Computation of fold and cusp bifurcation points in a system of ordinary differential equations using the Lagrange multiplier method

International Journal of Dynamics and Control ◽

10.1007/s40435-021-00821-4 ◽

2021 ◽

Author(s):

Livia Owen ◽

Johan Matheus Tuwankotta

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Lagrange Multiplier ◽

Lagrange Multiplier Method ◽

Multiplier Method ◽

Bifurcation Points

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A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law

Advances in Computational Mathematics ◽

10.1007/s10444-021-09857-8 ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Yongseok Jang ◽

Simon Shaw

Keyword(s):

Finite Element ◽

Error Analysis ◽

Fractional Order ◽

A Priori ◽

Finite Element Approximation ◽

Constitutive Law ◽

Element Approximation ◽

Dynamic Viscoelasticity ◽

A Priori Error Analysis

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