A discrete Schwarz waveform relaxation method of higher order for singularly perturbed parabolic reaction–diffusion problems

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01086-1 ◽

2019 ◽

Vol 58 (3) ◽

pp. 574-594 ◽

Author(s):

S. Chandra Sekhara Rao ◽

Sunil Kumar ◽

Joginder Singh

Keyword(s):

Reaction Diffusion ◽

Relaxation Method ◽

Higher Order ◽

Singularly Perturbed ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method ◽

Diffusion Problems

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Overlapping Schwarz waveform relaxation method for the solution of the reaction–diffusion equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.11.049 ◽

2007 ◽

Vol 333 (2) ◽

pp. 1153-1164 ◽

Author(s):

Daoud S. Daoud ◽

Ipek Caltinoglu

Keyword(s):

Diffusion Equation ◽

Reaction Diffusion ◽

Relaxation Method ◽

Reaction Diffusion Equation ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method ◽

Overlapping Schwarz

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A Parallel Aitken-Additive Schwarz Waveform Relaxation Method for Parabolic Problems

Lecture Notes in Computational Science and Engineering - Parallel Computational Fluid Dynamics 2007 ◽

10.1007/978-3-540-92744-0_17 ◽

2008 ◽

pp. 139-146 ◽

Author(s):

Hatem Ltaief ◽

Marc Garbey

Keyword(s):

Relaxation Method ◽

Parabolic Problems ◽

Waveform Relaxation ◽

Additive Schwarz ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method

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A Schwarz Waveform Relaxation Method for Advection—Diffusion—Reaction Problems with Discontinuous Coefficients and Non-matching Grids

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

10.1007/978-3-540-34469-8_33 ◽

2007 ◽

pp. 283-290 ◽

Author(s):

Martin J. Gander ◽

Laurence Halpern ◽

Michel Kern

Keyword(s):

Relaxation Method ◽

Discontinuous Coefficients ◽

Diffusion Reaction ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Advection Diffusion ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method

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Acceleration of a Schwarz waveform relaxation method for parabolic problems

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2010.031748 ◽

2010 ◽

Vol 1 (3) ◽

pp. 185 ◽

Author(s):

M. Garbey

Keyword(s):

Relaxation Method ◽

Parabolic Problems ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method

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Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics

SMAI Journal of Computational Mathematics ◽

10.5802/smai-jcm.22 ◽

2017 ◽

Vol 3 ◽

pp. 117-137 ◽

Author(s):

Eric Blayo ◽

Antoine Rousseau ◽

Manel Tayachi

Keyword(s):

Boundary Conditions ◽

Shallow Water ◽

Shallow Water Equations ◽

Relaxation Method ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method

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Parallel Schwarz waveform relaxation method for a semilinear heat equation in a cylindrical domain

Comptes Rendus Mathematique ◽

10.1016/j.crma.2010.06.004 ◽

2010 ◽

Vol 348 (13-14) ◽

pp. 795-799 ◽

Author(s):

Minh-Binh Tran

Keyword(s):

Heat Equation ◽

Relaxation Method ◽

Waveform Relaxation ◽

Cylindrical Domain ◽

Semilinear Heat Equation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method

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An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.08.022 ◽

2005 ◽

Vol 52 (4) ◽

pp. 401-428 ◽

Author(s):

Véronique Martin

Keyword(s):

Diffusion Equation ◽

Relaxation Method ◽

Two Dimensions ◽

Waveform Relaxation ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method

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An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions

Computers & Fluids ◽

10.1016/j.compfluid.2003.06.005 ◽

2004 ◽

Vol 33 (5-6) ◽

pp. 829-837 ◽

Author(s):

V. Martin

Keyword(s):

Diffusion Equation ◽

Relaxation Method ◽

Two Dimensions ◽

Waveform Relaxation ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method

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Overlapping Schwarz waveform relaxation method for the solution of the convection–diffusion equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.959 ◽

2008 ◽

Vol 31 (9) ◽

pp. 1099-1111 ◽

Author(s):

Daoud S. Daoud

Keyword(s):

Diffusion Equation ◽

Relaxation Method ◽

Waveform Relaxation ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method ◽

Overlapping Schwarz

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Overlapping Schwarz waveform relaxation method for the solution of the forward–backward heat equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.10.022 ◽

2007 ◽

Vol 208 (2) ◽

pp. 380-390 ◽

Author(s):

Daoud S. Daoud

Keyword(s):

Heat Equation ◽

Relaxation Method ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Waveform Relaxation Method ◽

Schwarz Waveform Relaxation Method ◽

Overlapping Schwarz

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