The Error Function in the Study of Singularly Perturbed Convection-Diffusion Problems with Discontinuous Boundary Data

Progress in Industrial Mathematics at ECMI 2008 - Mathematics in Industry ◽

10.1007/978-3-642-12110-4_9 ◽

2010 ◽

pp. 105-110

Author(s):

J. J. López ◽

E. Pérez Sinusía ◽

N. M. Temme

Keyword(s):

Boundary Data ◽

Error Function ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data ◽

Diffusion Problems

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A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01512-1 ◽

2021 ◽

Author(s):

Gajendra Babu ◽

Komal Bansal

Keyword(s):

Numerical Scheme ◽

High Order ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.020 ◽

2017 ◽

Vol 313 ◽

pp. 152-167 ◽

Cited By ~ 9

Author(s):

Li-Bin Liu ◽

Yanping Chen

Keyword(s):

Error Estimation ◽

Coupled System ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Strongly Coupled ◽

Convection Diffusion ◽

Diffusion Problems

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A Novel Adaptive Mesh Strategy for Singularly Perturbed Parabolic Convection Diffusion Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0394-2 ◽

2017 ◽

Vol 27 (1-3) ◽

pp. 203-220 ◽

Cited By ~ 1

Author(s):

Vivek Kumar ◽

Balaji Srinivasan

Keyword(s):

Adaptive Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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$L^\infty$ estimation of the LDG method for 1-d singularly perturbed convection-diffusion problems

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2013.18.1493 ◽

2013 ◽

Vol 18 (5) ◽

pp. 1493-1505

Author(s):

Huiqing Zhu ◽

◽

Runchang Lin ◽

Keyword(s):

Singularly Perturbed ◽

Convection Diffusion ◽

Ldg Method ◽

Diffusion Problems

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The SDFEM for singularly perturbed convection–diffusion problems with discontinuous source term arising in the chemical reactor theory

International Journal of Computer Mathematics ◽

10.1080/00207160.2010.521815 ◽

2011 ◽

Vol 88 (8) ◽

pp. 1664-1680

Author(s):

A. Ramesh Babu ◽

N. Ramanujam

Keyword(s):

Source Term ◽

Chemical Reactor ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Discontinuous Source Term ◽

Diffusion Problems

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A finite element superconvergence approximations for singularly perturbed system of convection-diffusion problems

10.1063/1.5042186 ◽

2018 ◽

Author(s):

Maneesh Kumar Singh ◽

Srinivasan Natesan

Keyword(s):

Finite Element ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System ◽

Diffusion Problems

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Oblique derivative problems in Lipschitz domains: II. Discontinuous boundary data.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1988.389.1 ◽

1988 ◽

Vol 1988 (389) ◽

pp. 1-21 ◽

Cited By ~ 10

Keyword(s):

Boundary Data ◽

Lipschitz Domains ◽

Discontinuous Boundary ◽

Oblique Derivative Problems ◽

Discontinuous Boundary Data

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Analysis of the SDFEM in a streamline diffusion norm for singularly perturbed convection diffusion problems

Applied Mathematics Letters ◽

10.1016/j.aml.2017.02.005 ◽

2017 ◽

Vol 69 ◽

pp. 61-66 ◽

Cited By ~ 2

Author(s):

Xiaowei Liu ◽

Jin Zhang

Keyword(s):

Singularly Perturbed ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems

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Local exponentially fitted finite element schemes for singularly perturbed convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00329-0 ◽

2001 ◽

Vol 132 (2) ◽

pp. 277-293 ◽

Cited By ~ 3

Author(s):

Lishang Jiang ◽

Xingye Yue

Keyword(s):

Finite Element ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Exponentially Fitted ◽

Finite Element Schemes ◽

Diffusion Problems

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Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125495 ◽

2020 ◽

Vol 386 ◽

pp. 125495

Author(s):

Relja Vulanović ◽

Thái Anh Nhan

Keyword(s):

Higher Order ◽

Singularly Perturbed ◽

Hybrid Schemes ◽

Convection Diffusion ◽

Diffusion Problems

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