Error Control for Approximate Solutions of a Class of Singularly Perturbed Boundary Value Problems

Sergey Repin

Type: Article

Publication Date: 2022-11-01

Citations: 3

DOI: https://doi.org/10.1134/s0965542522110070

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Computational Mathematics and Mathematical Physics - View

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Works That Cite This (3)

Action	Title	Year	Authors
+	Identities for Measures of Deviation from Solutions to Parabolic-Hyperbolic Equations	2024	Sergey Repin
+	Error identities for the reaction–convection–diffusion problem and applications to a posteriori error control	2022	Sergey Repin
+	A Posteriori Identities for Measures of Deviation from Exact Solutions of Nonlinear Boundary Value Problems	2023	Sergey Repin

Works Cited by This (23)

Action	Title	Year	Authors
+	Robust Computational Techniques for Boundary Layers	2000	Paul A. Farrell Alan F. Hegarty John Miller Eugene O’Riordan G. I. Shishkin
+	Numerical Solution of Convection-Diffusion Problems	2019	K. W. Morton
+	Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem	2001	Natalia Kopteva
+ PDF Chat	On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions	1983	A. H. Schatz Lars B. Wahlbin
+	Analysis of some difference approximations for a singular perturbation problem without turning points	1978	R. Bruce Kellogg Alice Tsan
+	Solution of a boundary value problem for an elliptic equation with a small parameter for the leading derivatives	1986	G. I. Shishkin
+ PDF Chat	Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem	2008	Natalia Kopteva
+	Improved approximations of the solution and derivatives to a singularly perturbed reaction-diffusion equation based on the solution decomposition method	2011	G. I. Shishkin Л. П. Шишкина
+	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
+	Uniform grid approximation of nonsmooth solutions to the mixed boundary value problem for a singularly perturbed reaction-diffusion equation in a rectangle	2008	V. B. Andreev