Optimized Overlapping Schwarz Waveform Relaxation for a Class of Time-Fractional Diffusion Problems

Shu-Lin Wu

doi:10.1007/s10915-017-0379-x

Optimized Overlapping Schwarz Waveform Relaxation for a Class of Time-Fractional Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0379-x ◽

2017 ◽

Vol 72 (2) ◽

pp. 842-862 ◽

Cited By ~ 2

Author(s):

Shu-Lin Wu

Keyword(s):

Fractional Diffusion ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Diffusion Problems ◽

Overlapping Schwarz

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Overlapping Schwarz Waveform Relaxation for Convection-Dominated Nonlinear Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/030601090 ◽

2005 ◽

Vol 27 (2) ◽

pp. 415-439 ◽

Cited By ~ 24

Author(s):

Martin J. Gander ◽

Christian Rohde

Keyword(s):

Conservation Laws ◽

Waveform Relaxation ◽

Nonlinear Conservation Laws ◽

Schwarz Waveform Relaxation ◽

Convection Dominated ◽

Overlapping Schwarz

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Optimized Schwarz Waveform Relaxation Algorithms with Nonconforming Time Discretization for Coupling Convection-diffusion Problems with Discontinuous Coefficients

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

10.1007/978-3-540-34469-8_31 ◽

2007 ◽

pp. 267-274 ◽

Cited By ~ 5

Author(s):

Eric Blayo ◽

Laurence Halpern ◽

Caroline Japhet

Keyword(s):

Time Discretization ◽

Discontinuous Coefficients ◽

Waveform Relaxation ◽

Convection Diffusion ◽

Schwarz Waveform Relaxation ◽

Relaxation Algorithms ◽

Diffusion Problems

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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 ◽

Cited By ~ 1

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 convection–diffusion equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.959 ◽

2008 ◽

Vol 31 (9) ◽

pp. 1099-1111 ◽

Cited By ~ 1

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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Convergence analysis of the overlapping Schwarz waveform relaxation algorithm for reaction-diffusion equations with time delay

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drr012 ◽

2011 ◽

Vol 32 (2) ◽

pp. 632-671 ◽

Cited By ~ 7

Author(s):

S.-L. Wu ◽

C.-M. Huang ◽

T.-Z. Huang

Keyword(s):

Time Delay ◽

Convergence Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Waveform Relaxation ◽

Relaxation Algorithm ◽

Schwarz Waveform Relaxation ◽

Overlapping Schwarz

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Optimal Schwarz waveform relaxation for fractional diffusion-wave equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.01.002 ◽

2018 ◽

Vol 127 ◽

pp. 125-141 ◽

Cited By ~ 6

Author(s):

Giovanna Califano ◽

Dajana Conte

Keyword(s):

Wave Equations ◽

Fractional Diffusion ◽

Waveform Relaxation ◽

Diffusion Wave ◽

Schwarz Waveform Relaxation

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Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation

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

10.1007/3-540-26825-1_23 ◽

2005 ◽

pp. 251-258

Author(s):

Martin J. Gander ◽

Christian Rohde

Keyword(s):

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Nonlinear Advection ◽

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 ◽

Cited By ~ 5

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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Optimized Sponge Layers, Optimized Schwarz Waveform Relaxation Algorithms for Convection-diffusion Problems and Best Approximation

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

10.1007/978-3-540-34469-8_35 ◽

2007 ◽

pp. 299-306

Author(s):

Laurence Halpern

Keyword(s):

Best Approximation ◽

Waveform Relaxation ◽

Convection Diffusion ◽

Schwarz Waveform Relaxation ◽

Relaxation Algorithms ◽

Diffusion Problems

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Overlapping Schwarz waveform relaxation for parabolic problems

Domain Decomposition Methods 10 - Contemporary Mathematics ◽

10.1090/conm/218/03038 ◽

1998 ◽

pp. 425-431 ◽

Cited By ~ 13

Author(s):

Martin J. Gander

Keyword(s):

Parabolic Problems ◽

Waveform Relaxation ◽

Schwarz Waveform Relaxation ◽

Overlapping Schwarz

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