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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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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A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070708792 ◽

2009 ◽

Vol 47 (3) ◽

pp. 2157-2176 ◽

Author(s):

Alan Demlow ◽

Omar Lakkis ◽

Charalambos Makridakis

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Maximum Norm ◽

Parabolic Problems ◽

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 ◽

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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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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Functional Approach to Locally Based A Posteriori Error Estimates for Elliptic and Parabolic Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_8 ◽

2007 ◽

pp. 135-150

Author(s):

Sergey Repin

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Functional Approach ◽

Parabolic Problems ◽

A Posteriori ◽

A Posteriori Error

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A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/140964059 ◽

2015 ◽

Vol 3 (1) ◽

pp. 169-198 ◽

Author(s):

T. Arbogast ◽

D. Estep ◽

B. Sheehan ◽

S. Tavener

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Volume ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Finite Volume Methods ◽

Parabolic Problems ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces

Numerische Mathematik ◽

10.1007/s00211-008-0165-7 ◽

2008 ◽

Vol 110 (3) ◽

pp. 257-275 ◽

Author(s):

E. Cuesta ◽

Ch. Makridakis

Keyword(s):

Banach Spaces ◽

Error Estimates ◽

Maximal Regularity ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Parabolic Problems ◽

A Posteriori ◽

Nonlinear Parabolic Problems ◽

A Posteriori Error ◽

Nonlinear Parabolic

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A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/18m117594x ◽

2021 ◽

Vol 59 (3) ◽

pp. 1486-1509

Author(s):

Vít Dolejší ◽

Filip Roskovec ◽

Miloslav Vlasák

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Higher Order ◽

Parabolic Problems ◽

A Posteriori ◽

Nonlinear Parabolic Problems ◽

A Posteriori Error ◽

Nonlinear Parabolic

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Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902406314 ◽

2003 ◽

Vol 41 (4) ◽

pp. 1585-1594 ◽

Author(s):

Charalambos Makridakis ◽

Ricardo H. Nochetto

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Parabolic Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Reconstruction

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