Overlapping domain decomposition method for singularly perturbed third order reaction-diffusion problems

Ain Shams Engineering Journal ◽

10.1016/j.asej.2016.09.018 ◽

2018 ◽

Vol 9 (4) ◽

pp. 2171-2181

Author(s):

J. Christy Roja ◽

A. Tamilselvan

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Order Reaction ◽

Singularly Perturbed ◽

Third Order ◽

Overlapping Domain Decomposition ◽

Diffusion Problems

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A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-030-11539-5_56 ◽

2019 ◽

pp. 484-492

Author(s):

Joginder Singh ◽

Sunil Kumar ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Overlapping Domain Decomposition

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A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22256 ◽

2018 ◽

Vol 34 (5) ◽

pp. 1849-1866 ◽

Author(s):

Joginder Singh ◽

Sunil Kumar ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Problems

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A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01026-z ◽

2019 ◽

Vol 57 (5) ◽

pp. 1557-1578 ◽

Author(s):

Sunil Kumar ◽

Joginder Singh ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.01.047 ◽

2011 ◽

Vol 235 (11) ◽

pp. 3342-3354 ◽

Author(s):

S. Chandra Sekhara Rao ◽

Sunil Kumar

Keyword(s):

Domain Decomposition ◽

Fourth Order ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent

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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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B-Spline Collocation with Domain Decomposition Method and Its Application for Singularly Perturbed Convection-Diffusion Problems

Recent Trends in Physics of Material Science and Technology - Springer Series in Materials Science ◽

10.1007/978-981-287-128-2_3 ◽

2014 ◽

pp. 27-47

Author(s):

Mas Irfan P. Hidayat ◽

Bambang Ariwahjoedi ◽

Setyamartana Parman

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Convection Diffusion ◽

Diffusion Problems

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Convergence of a fully overlapping domain decomposition method

2011 XXXth URSI General Assembly and Scientific Symposium ◽

10.1109/ursigass.2011.6050245 ◽

2011 ◽

Author(s):

Tao Peng ◽

Kubilay Sertel ◽

John L. Volakis

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Overlapping Domain Decomposition

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A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2010070 ◽

2010 ◽

Vol 45 (4) ◽

pp. 675-696 ◽

Author(s):

Hani Benhassine ◽

Abderrahmane Bendali

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Stokes Problem ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Overlapping Domain Decomposition

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On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1882 ◽

2007 ◽

Vol 70 (3) ◽

pp. 322-350 ◽

Author(s):

P.-A. Guidault ◽

T. Belytschko

Keyword(s):

Domain Decomposition ◽

Lagrange Multipliers ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Overlapping Domain Decomposition

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A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109050 ◽

2020 ◽

Vol 401 ◽

pp. 109050

Author(s):

V. Mattesi ◽

M. Darbas ◽

C. Geuzaine

Keyword(s):

Elastic Wave ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Two Dimensional ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

Overlapping Domain Decomposition ◽

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