FETI domain decomposition methods for scalar advection–diffusion problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(01)00195-5 ◽

2001 ◽

Vol 190 (43-44) ◽

pp. 5759-5776 ◽

Author(s):

Andrea Toselli

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Advection Diffusion ◽

Diffusion Problems

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Adaptive Domain Decomposition Methods for Advection-Diffusion Problems

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4612-4248-2_9 ◽

1995 ◽

pp. 165-186 ◽

Author(s):

Claudio Carlenzoli ◽

Alfio Quarteroni

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Advection Diffusion ◽

Diffusion Problems

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New substructuring domain decomposition methods for advection–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00317-9 ◽

2000 ◽

Vol 116 (2) ◽

pp. 201-220 ◽

Author(s):

Luigi C. Berselli ◽

Fausto Saleri

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Diffusion Equations ◽

Domain Decomposition Methods ◽

Advection Diffusion

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Linearly Implicit Domain Decomposition Methods for Nonlinear Time-Dependent Reaction-Diffusion Problems

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

10.1007/978-3-642-02677-5_29 ◽

2009 ◽

pp. 267-274

Author(s):

A. Arrarás ◽

L. Portero ◽

J. C. Jorge

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Time Dependent ◽

Domain Decomposition Methods ◽

Diffusion Problems

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Domain decomposition methods to solve reaction-diffusion problems in a sectorial domain

10.1063/1.4912613 ◽

2015 ◽

Author(s):

Chniti Chokri

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Diffusion Problems

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Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems

Journal of Computational Physics ◽

10.1016/j.jcp.2013.08.013 ◽

2014 ◽

Vol 257 ◽

pp. 1321-1351 ◽

Author(s):

A. Arrarás ◽

L. Portero ◽

I. Yotov

Keyword(s):

Error Analysis ◽

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Diffusion Problems

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Multiscale analysis of heterogeneous domain decomposition methods for time-dependent advection–reaction–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.058 ◽

2018 ◽

Vol 344 ◽

pp. 904-924

Author(s):

Martin J. Gander ◽

Laurence Halpern ◽

Véronique Martin

Keyword(s):

Domain Decomposition ◽

Multiscale Analysis ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Time Dependent ◽

Domain Decomposition Methods ◽

Diffusion Problems

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A matching of singularities in domain decomposition methods for reaction-diffusion problems with discontinuous coefficients

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2010031 ◽

2010 ◽

Vol 45 (1) ◽

pp. 23-37 ◽

Author(s):

Chokri Chniti

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Discontinuous Coefficients ◽

Domain Decomposition Methods ◽

Diffusion Problems

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Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199805)14:3<387::aid-num7>3.0.co;2-i ◽

1998 ◽

Vol 14 (3) ◽

pp. 387-406 ◽

Author(s):

F. K. Hebeker ◽

Yu. A. Kuznetsov

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Domain Decomposition Methods ◽

Convection Diffusion ◽

Overlapping Domain Decomposition ◽

Diffusion Problems

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Optimized interface conditions in domain decomposition methods to solve reaction–diffusion problems with strong heterogeneity in the coefficients in a sectorial domain

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.02.015 ◽

2017 ◽

Vol 118 ◽

pp. 117-130

Author(s):

Chokri Chniti

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Interface Conditions ◽

Domain Decomposition Methods ◽

Diffusion Problems

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An analysis of overlapping domain decomposition methods for singularly perturbed reaction–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.12.018 ◽

2015 ◽

Vol 281 ◽

pp. 250-262 ◽

Author(s):

Sunil Kumar ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Singularly Perturbed ◽

Domain Decomposition Methods ◽

Overlapping Domain Decomposition ◽

Diffusion Problems

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