Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach

Simona Perotto; Alexandre Ern; Alessandro Veneziani

doi:10.1137/090756624

Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach

Multiscale Modeling and Simulation ◽

10.1137/090756624 ◽

2010 ◽

Vol 8 (4) ◽

pp. 1102-1127 ◽

Cited By ~ 27

Author(s):

Simona Perotto ◽

Alexandre Ern ◽

Alessandro Veneziani

Keyword(s):

Domain Decomposition ◽

Model Reduction ◽

Elliptic Problems ◽

Local Model ◽

Decomposition Approach

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A domain decomposition approach for radiation transport in astrophysical dust envelopes

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/s0022-4073(97)00146-5 ◽

1998 ◽

Vol 59 (6) ◽

pp. 563-583 ◽

Cited By ~ 1

Author(s):

Kenneth M. Chick

Keyword(s):

Domain Decomposition ◽

Radiation Transport ◽

Decomposition Approach

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Finite Element Procedure for Overlapping Meshes Based on Domain Decomposition Approach using Background Rectangular Mesh

Journal of Japan Society of Civil Engineers Ser A2 (Applied Mechanics (AM)) ◽

10.2208/jscejam.67.i_117 ◽

2011 ◽

Vol 67 (2) ◽

pp. I_117-I_125

Author(s):

Takahiro YAMADA ◽

Ryo OCHIAI ◽

Kazumi MATSUI

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Decomposition Approach ◽

Rectangular Mesh ◽

Finite Element Procedure

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A spectral domain decomposition approach for the generalized Burger’s–Fisher equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2007.04.013 ◽

2009 ◽

Vol 39 (1) ◽

pp. 385-392 ◽

Cited By ~ 30

Author(s):

A. Golbabai ◽

M. Javidi

Keyword(s):

Domain Decomposition ◽

Spectral Domain ◽

Fisher Equation ◽

Decomposition Approach

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Domain Decomposition Methods for Singular Elliptic Problems

Problems and Methods in Mathematical Physics - TEUBNER-TEXTE zur Mathematik ◽

10.1007/978-3-322-85161-1_11 ◽

1994 ◽

pp. 120-129

Author(s):

Sergeĭ V. Nepomnyashchikh

Keyword(s):

Domain Decomposition ◽

Elliptic Problems ◽

Decomposition Methods ◽

Domain Decomposition Methods

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The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions

Communications in Computational Physics ◽

10.4208/cicp.150609.031209a ◽

2010 ◽

Vol 8 (3) ◽

pp. 642-662 ◽

Cited By ~ 3

Author(s):

Wenbin Chen

Keyword(s):

Domain Decomposition ◽

Elliptic Problems ◽

Decomposition Methods ◽

Domain Decomposition Methods

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Embedded Domain Decomposition Approach for Analyzing Complex Antenna Structures

2019 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO) ◽

10.1109/nemo.2019.8853769 ◽

2019 ◽

Author(s):

Jiaqing Lu ◽

Dongwei Li ◽

Wentao Bao ◽

Jin-Fa Lee

Keyword(s):

Domain Decomposition ◽

Decomposition Approach

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CHEBYSHEV PSEUDOSPECTRAL DOMAIN DECOMPOSITION METHOD OF ONE-DIMENSIONAL ELLIPTIC PROBLEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30052-3 ◽

1995 ◽

Vol 15 (3) ◽

pp. 303-309

Author(s):

Yueshan Xiong

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Elliptic Problems ◽

One Dimensional ◽

Chebyshev Pseudospectral

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LPV System Local Model Interpolation Based on Combined Model Reduction

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2018.09.046 ◽

2018 ◽

Vol 51 (15) ◽

pp. 1104-1109

Author(s):

Qinghua Zhang

Keyword(s):

Model Reduction ◽

Local Model ◽

Combined Model ◽

Lpv System

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Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007006 ◽

2007 ◽

Vol 41 (1) ◽

pp. 21-54 ◽

Cited By ~ 47

Author(s):

Paola F. Antonietti ◽

Blanca Ayuso

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Elliptic Problems ◽

Galerkin Approximations

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Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems

Journal of Numerical Mathematics ◽

10.1515/jnum.2011.008 ◽

2011 ◽

Vol 19 (3) ◽

Cited By ~ 7

Author(s):

A. T. Barker ◽

S. C. Brenner ◽

L.-Y. Sung

Keyword(s):

Domain Decomposition ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Overlapping Schwarz

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