Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem

N. Kopteva

doi:10.1093/imanum/drl020

Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drl020 ◽

2006 ◽

Vol 27 (3) ◽

pp. 576-592 ◽

Cited By ~ 16

Author(s):

N. Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error

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Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/140983458 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2519-2544 ◽

Cited By ~ 6

Author(s):

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

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Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems

Numerische Mathematik ◽

10.1007/s00211-015-0763-0 ◽

2015 ◽

Vol 133 (4) ◽

pp. 707-742 ◽

Cited By ~ 13

Author(s):

Alan Demlow ◽

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Diffusion Problems

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Robust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshes

Advances in Computational Mathematics ◽

10.1007/s10444-013-9327-y ◽

2013 ◽

Vol 40 (4) ◽

pp. 797-818 ◽

Cited By ~ 1

Author(s):

Jikun Zhao ◽

Shaochun Chen

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes

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Guaranteed a posteriori error estimates for nonconforming finite element approximations to a singularly perturbed reaction–diffusion problem

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.02.002 ◽

2015 ◽

Vol 94 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Bei Zhang ◽

Shaochun Chen ◽

Jikun Zhao

Keyword(s):

Finite Element ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Nonconforming Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations

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Maximum norm a posteriori error estimate for a 3d singularly perturbed semilinear reaction-diffusion problem

Advances in Computational Mathematics ◽

10.1007/s10444-010-9163-2 ◽

2010 ◽

Vol 35 (1) ◽

pp. 33-55 ◽

Cited By ~ 11

Author(s):

Naresh M. Chadha ◽

Natalia Kopteva

Keyword(s):

Error Estimate ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

A Posteriori Error Estimate ◽

Singularly Perturbed ◽

Maximum Norm ◽

Posteriori Error Estimate ◽

A Posteriori ◽

A Posteriori Error

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Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem

SIAM Journal on Numerical Analysis ◽

10.1137/060677616 ◽

2008 ◽

Vol 46 (3) ◽

pp. 1602-1618 ◽

Cited By ~ 19

Author(s):

Natalia Kopteva

Keyword(s):

Error Estimate ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

A Posteriori Error Estimate ◽

Singularly Perturbed ◽

Maximum Norm ◽

Posteriori Error Estimate ◽

A Posteriori ◽

A Posteriori Error

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Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.10.085 ◽

2014 ◽

Vol 227 ◽

pp. 801-810 ◽

Cited By ~ 4

Author(s):

Li-Bin Liu ◽

Yanping Chen

Keyword(s):

Difference Equation ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Small Delay ◽

Differential Difference Equation

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Improved Energy-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 ◽

10.1007/978-3-030-41800-7_9 ◽

2020 ◽

pp. 143-156

Author(s):

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Energy Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

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Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-642-41515-9_5 ◽

2013 ◽

pp. 50-61 ◽

Cited By ~ 3

Author(s):

Natalia Kopteva ◽

Torsten Linß

Keyword(s):

Error Estimates ◽

Numerical Study ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

Parabolic Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Singularly Perturbed Parabolic Problems

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Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes

Numerische Mathematik ◽

10.1007/s00211-017-0889-3 ◽

2017 ◽

Vol 137 (3) ◽

pp. 607-642 ◽

Cited By ~ 4

Author(s):

Natalia Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

Energy Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

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