On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem

Igor Boglaev

Type: Article

Publication Date: 1998-10-01

Citations: 17

DOI: https://doi.org/10.1016/s0377-0427(98)00127-7

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Locations

Journal of Computational and Applied Mathematics - View

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Works That Cite This (17)

Action	Title	Year	Authors
+	The convergence of classical Schwarz methods applied to convection–diffusion problems with regular boundary layers	2002	H. MacMullen Eugene O’Riordan G. I. Shishkin
+	Domain decomposition for a parabolic convection-diffusion problem	2006	Igor Boglaev
+	A Finite Element Domain Decomposition Approximation for a Semilinear Parabolic Singularly Perturbed Differential Equation	2017	Sunil Kumar B. V. Rathish Kumar
+	A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation	2016	Sunil Kumar B. V. Rathish Kumar
+	None	2002	Igor Boglaev
+	A second-order parameter-uniform overlapping Schwarz method for reaction–diffusion problems with boundary layers	2001	H. MacMullen John J. H. Miller Eugene O’Riordan G. I. Shishkin
+	On an uniform multidomain decomposition method applied to a singularly perturbed problem with regular boundary layers	2003	Igor Boglaev Vic Duoba
+	Iterative domain decomposition algorithms for a convection-diffusion problem	2004	Igor Boglaev Vic Duoba
+	A substitute for the maximum principle for singularly perturbed time-dependent semilinear reaction-diffusion problems - part I	2010	Simona-Blanca Savescu
+	Overlapping Domain Decomposition Methods Based on Tensor Format for Solving High-Dimensional Partial Differential Equations	2024	Yuhan Chen Chenliang Li

Works Cited by This (7)

Action	Title	Year	Authors
+	A note on the conditioning of upwind schemes on Shishkin meshes	1996	HANS-GäRG ROOS
+	Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems	1996	Igor Boglaev В. В. Сироткин
+	Uniform Numerical Methods for Problems with Initial and Boundary Layers.	1982	Alan E. Berger E. P. Doolan John J. H. Miller W.H.A. Schilders
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva
+	Finite difference domain decomposition algorithms for a parabolic problem with boundary layers	1998	Igor Boglaev
+	Numerical solution of a quasilinear parabolic equation with a boundary layer	1990	I.P. Boglayev
+	Fitted Numerical Methods for Singular Perturbation Problems	1996	John J. H. Miller Eugene O’Riordan G. I. Shishkin