Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.05.013 ◽

2007 ◽

Vol 196 (8) ◽

pp. 1498-1506 ◽

Author(s):

R. Glowinski ◽

Yu. Kuznetsov

Keyword(s):

Lagrange Multipliers ◽

Elliptic Problems ◽

Second Order ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Domain Method ◽

Second Order Elliptic Problems

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Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitious Domain Method

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XIX ◽

10.1007/978-3-642-11304-8_43 ◽

2010 ◽

pp. 375-382

Author(s):

Roland Glowinski ◽

Qiaolin He

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Least Squares ◽

Elliptic Problems ◽

Fictitious Domain ◽

Robin Boundary Conditions ◽

Fictitious Domain Method ◽

Domain Method ◽

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A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow and its parallel implementation

Parallel Computational Fluid Dynamics 1998 ◽

10.1016/b978-044482850-7/50117-0 ◽

1999 ◽

pp. 467-474 ◽

Author(s):

T.-W. Pan ◽

V. Sarin ◽

R. Glowinski ◽

A. Sameh ◽

J. Périaux

Keyword(s):

Numerical Simulation ◽

Lagrange Multipliers ◽

Parallel Implementation ◽

Particulate Flow ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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A fictitious domain method with distributed Lagrange multipliers on adaptive quad/octrees for the direct numerical simulation of particle-laden flows

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109954 ◽

2020 ◽

pp. 109954

Author(s):

Can Selçuk ◽

Arthur R. Ghigo ◽

Stephane Popinet ◽

Anthony Wachs

Keyword(s):

Numerical Simulation ◽

Direct Numerical Simulation ◽

Lagrange Multipliers ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Domain Method ◽

Particle Laden Flows

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Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01731-z ◽

2021 ◽

Vol 41 (1) ◽

Author(s):

Swapnil Kale ◽

Debasish Pradhan

Keyword(s):

Error Estimates ◽

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Penalty Approach ◽

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An Adaptive Fictitious Domain Method for Elliptic Problems

SEMA SIMAI Springer Series - Advances in Discretization Methods ◽

10.1007/978-3-319-41246-7_11 ◽

2016 ◽

pp. 229-244 ◽

Author(s):

Stefano Berrone ◽

Andrea Bonito ◽

Marco Verani

Keyword(s):

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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Analysis of the fictitious domain method with penalty for elliptic problems

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-013-0124-2 ◽

2013 ◽

Vol 31 (1) ◽

pp. 57-85 ◽

Author(s):

Guanyu Zhou ◽

Norikazu Saito

Keyword(s):

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2017-0193 ◽

2018 ◽

Vol 10 (3) ◽

pp. 634-651

Author(s):

Qiaolin He and Xiaomin Lv

Keyword(s):

Boundary Conditions ◽

Elliptic Problems ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

The Third ◽

Domain Method ◽

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On the distributed Lagrange multiplier/fictitious domain method for rigid-particle-laden flows: a proposition for an alternative formulation of the Lagrange multipliers

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2729 ◽

2011 ◽

Vol 70 (8) ◽

pp. 1027-1047 ◽

Author(s):

S.G. Yiantsios

Keyword(s):

Lagrange Multiplier ◽

Lagrange Multipliers ◽

Fictitious Domain ◽

Alternative Formulation ◽

Rigid Particle ◽

Fictitious Domain Method ◽

Domain Method ◽

Particle Laden Flows

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A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.08.003 ◽

2019 ◽

Vol 135 ◽

pp. 47-68 ◽

Author(s):

Mi-Young Kim ◽

Dong-wook Shin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multipliers ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow

Domain Decomposition Methods 10 - Contemporary Mathematics ◽

10.1090/conm/218/03006 ◽

1998 ◽

pp. 121-137 ◽

Author(s):

Roland Glowinski ◽

Tsorng-Whay Pan ◽

Todd I. Hesla ◽

Daniel D. Joseph ◽

Jacques Periaux

Keyword(s):

Numerical Simulation ◽

Lagrange Multipliers ◽

Particulate Flow ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

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