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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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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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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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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Domain decomposition methods for a class of spatially heterogeneous delayed reaction–diffusion equations

Journal of Differential Equations ◽

10.1016/j.jde.2018.09.030 ◽

2019 ◽

Vol 266 (7) ◽

pp. 4204-4231 ◽

Author(s):

Taishan Yi ◽

Yuming Chen

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Domain Decomposition Methods ◽

Delayed Reaction

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Optimized interface conditions for domain decomposition methods in fluid dynamics

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.410 ◽

2002 ◽

Vol 40 (12) ◽

pp. 1539-1550 ◽

Author(s):

Victorita Dolean ◽

St�phane Lanteri ◽

Fr�d�ric Nataf

Keyword(s):

Fluid Dynamics ◽

Domain Decomposition ◽

Decomposition Methods ◽

Interface Conditions ◽

Domain Decomposition Methods

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Optimized Algebraic Interface Conditions in Domain Decomposition Methods for Strongly Heterogeneous Unsymmetric Problems

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

10.1007/978-3-540-34469-8_19 ◽

2007 ◽

pp. 189-196

Author(s):

Luca Gerardo-Giorda ◽

Frédéric Nataf

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Interface Conditions ◽

Domain Decomposition Methods

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Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.05.019 ◽

2006 ◽

Vol 189 (1-2) ◽

pp. 539-554 ◽

Author(s):

E. Flauraud ◽

F. Nataf ◽

F. Willien

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Interface Conditions ◽

Domain Decomposition Methods

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Construction of interface conditions for solving the compressible Euler equations by non-overlapping domain decomposition methods

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.406 ◽

2002 ◽

Vol 40 (12) ◽

pp. 1485-1492 ◽

Author(s):

Victorita Dolean ◽

Fr�d�ric Nataf ◽

St�phane Lanteri

Keyword(s):

Domain Decomposition ◽

Euler Equations ◽

Decomposition Methods ◽

Compressible Euler Equations ◽

Interface Conditions ◽

Domain Decomposition Methods ◽

Compressible Euler ◽

Overlapping Domain Decomposition

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