On a Renewed Approach to A Posteriori Error Bounds for Approximate Solutions of Reaction-Diffusion Equations

Lecture Notes in Computational Science and Engineering - Advanced Finite Element Methods with Applications ◽

10.1007/978-3-030-14244-5_12 ◽

2019 ◽

pp. 221-245

Author(s):

Vadim G. Korneev

Keyword(s):

Error Bounds ◽

Reaction Diffusion ◽

Approximate Solutions ◽

Posteriori Error ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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Maximum Norm a Posteriori Error Estimation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations

Numerical Analysis and Applicable Mathematics ◽

10.36686/ariviyal.naam.2020.01.01.003 ◽

2020 ◽

Vol 1 (1) ◽

Author(s):

Ying Liang ◽

Xiaobing Bao ◽

Li-Bin Liu

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error bounds for piecewise linear approximate solutions of elliptic equations of monotone type

Mathematics of Computation ◽

10.1090/s0025-5718-1992-1122073-7 ◽

1992 ◽

Vol 58 (198) ◽

pp. 549-549 ◽

Author(s):

Koichi Niijima

Keyword(s):

Error Bounds ◽

Elliptic Equations ◽

Piecewise Linear ◽

Approximate Solutions ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

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A Posteriori Error Analysis for Crank--Nicolson--Galerkin Type Methods for Reaction-Diffusion Equations with Delay

SIAM Journal on Scientific Computing ◽

10.1137/17m1143514 ◽

2018 ◽

Vol 40 (2) ◽

pp. A1095-A1120 ◽

Author(s):

Wansheng Wang ◽

Ting Rao ◽

Weiwei Shen ◽

Peng Zhong

Keyword(s):

Error Analysis ◽

Reaction Diffusion ◽

Posteriori Error ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

Equations With Delay

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Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3822 ◽

2013 ◽

pp. n/a-n/a ◽

Author(s):

Mark Ainsworth ◽

Alejandro Allendes ◽

Gabriel R. Barrenechea ◽

Richard Rankin

Keyword(s):

Error Bounds ◽

Reaction Diffusion ◽

Posteriori Error ◽

Three Dimensions ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Diffusion Problems

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Maximum‐norm a posteriori error bounds for a collocation method applied to a singularly perturbed reaction–diffusion problem in three dimensions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22414 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2305-2317

Author(s):

Goran Radojev ◽

Torsten Linß

Keyword(s):

Collocation Method ◽

Error Bounds ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Three Dimensions ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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A posteriori Error Bounds for Approximate Solutions of Linear Second-order Ordinary Differential Equations

IMA Journal of Applied Mathematics ◽

10.1093/imamat/9.3.323 ◽

1972 ◽

Vol 9 (3) ◽

pp. 323-349 ◽

Author(s):

IAN GLADWELL

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Error Bounds ◽

Approximate Solutions ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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Fully computable robust a posteriori error bounds for singularly perturbed reaction–diffusion problems

Numerische Mathematik ◽

10.1007/s00211-011-0384-1 ◽

2011 ◽

Vol 119 (2) ◽

pp. 219-243 ◽

Author(s):

Mark Ainsworth ◽

Tomáš Vejchodský

Keyword(s):

Error Bounds ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Diffusion Problems

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A posteriori error analysis of a non-consistent virtual element method for reaction diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107531 ◽

2021 ◽

pp. 107531

Author(s):

Jianguo Huang ◽

Sen Lin

Keyword(s):

Reaction Diffusion ◽

Posteriori Error ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Virtual Element Method ◽

A Posteriori Error ◽

Virtual Element ◽

Posteriori Error Analysis

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A posteriori error bounds for inhomogeneous linear dirichlet and neumann problems in n dimensions

Applicable Analysis ◽

10.1080/00036818008839328 ◽

1980 ◽

Vol 11 (2) ◽

pp. 151-161

Author(s):

John E. Lavery

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Neumann Problems ◽

A Posteriori Error Bounds

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Two-sided a posteriori error bounds for electro-magnetostatic problems

Journal of Mathematical Sciences ◽

10.1007/s10958-010-9844-x ◽

2010 ◽

Vol 166 (1) ◽

pp. 53-62 ◽

Author(s):

D. Pauly ◽

S. Repin

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

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