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 ◽

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 ◽

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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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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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 ◽

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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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 ◽

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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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 ◽

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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Global a posteriori error estimates for convection–reaction–diffusion problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2007.04.013 ◽

2008 ◽

Vol 32 (8) ◽

pp. 1579-1586 ◽

Author(s):

Sergey Korotov

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Diffusion Problems

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Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes

Journal of Scientific Computing ◽

10.1007/s10915-014-9937-7 ◽

2014 ◽

Vol 64 (2) ◽

pp. 368-400

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang ◽

Shipeng Mao

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Discontinuous Coefficients ◽

A Posteriori ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Diffusion Problems

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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 ◽

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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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 ◽

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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A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne--Weinberger inequality

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2015.35.2659 ◽

2015 ◽

Vol 35 (6) ◽

pp. 2659-2677 ◽

Author(s):

Svetlana Matculevich ◽

◽

Pekka Neittaanmäki ◽

Sergey Repin ◽

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Time Dependent ◽

A Posteriori ◽

A Posteriori Error ◽

Diffusion Problems

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