Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems

GUANGFU SUN; MARTIN STYNES

doi:10.1093/imanum/15.1.117

Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/15.1.117 ◽

1995 ◽

Vol 15 (1) ◽

pp. 117-139 ◽

Cited By ~ 41

Author(s):

GUANGFU SUN ◽

MARTIN STYNES

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

Reaction Diffusion ◽

High Order ◽

Singularly Perturbed ◽

Point Boundary ◽

Diffusion Type

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Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/15.2.197 ◽

1995 ◽

Vol 15 (2) ◽

pp. 197-219 ◽

Cited By ~ 22

Author(s):

GUANGFU SUN ◽

MARTIN STYNE

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

High Order ◽

Singularly Perturbed ◽

Point Boundary ◽

Diffusion Type ◽

Convection Diffusion

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Isogeometric analysis for singularly perturbed high-order, two-point boundary value problems of reaction–diffusion type

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.05.011 ◽

2020 ◽

Vol 80 (11) ◽

pp. 2340-2350

Author(s):

C. Xenophontos

Keyword(s):

Boundary Value Problems ◽

Isogeometric Analysis ◽

Boundary Value ◽

Reaction Diffusion ◽

High Order ◽

Singularly Perturbed ◽

Point Boundary ◽

Diffusion Type

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Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction-diffusion Type

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(97)00279-4 ◽

1998 ◽

Vol 35 (3) ◽

pp. 57-70 ◽

Cited By ~ 42

Author(s):

J. Li ◽

I.M. Navon

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Reaction Diffusion ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Diffusion Type ◽

Elliptic Boundary Value ◽

Uniformly Convergent

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A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems

Numerical Algorithms ◽

10.1007/s11075-015-9969-6 ◽

2015 ◽

Vol 70 (4) ◽

pp. 691-707 ◽

Cited By ~ 3

Author(s):

Runchang Lin ◽

Martin Stynes

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Point Boundary ◽

Element Method

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Finite Element Methods of High-Order Accuracy for Singular Two-Point Boundary Value Problems with Nonsmooth Solutions

SIAM Journal on Numerical Analysis ◽

10.1137/0717047 ◽

1980 ◽

Vol 17 (4) ◽

pp. 547-566 ◽

Cited By ~ 31

Author(s):

Robert Schreiber

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

High Order ◽

High Order Accuracy ◽

Point Boundary ◽

Order Accuracy

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Corrigendum to “Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction–diffusion type” [Comput. Math. Appl. 35 (3) (1998) 57–70]

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.03.026 ◽

2010 ◽

Vol 59 (10) ◽

pp. 3374-3376

Author(s):

Jichun Li

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Reaction Diffusion ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Diffusion Type ◽

Elliptic Boundary Value ◽

Uniformly Convergent

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A numerical treatment for the system of singularly perturbed convection-reaction-diffusion two point boundary value problems with non-smooth data

Journal of Physics Conference Series ◽

10.1088/1742-6596/1139/1/012019 ◽

2018 ◽

Vol 1139 ◽

pp. 012019

Author(s):

T Prabha ◽

V Shanthi

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Point Boundary ◽

Numerical Treatment ◽

Smooth Data

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Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: convection—diffusion type

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(97)00329-0 ◽

1998 ◽

Vol 162 (1-4) ◽

pp. 49-78 ◽

Cited By ~ 16

Author(s):

Jichun Li ◽

I.M. Navon

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Diffusion Type ◽

Elliptic Boundary Value ◽

Convection Diffusion ◽

Uniformly Convergent

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Locally Conservative B-spline Finite Element Methods for Two-point Boundary Value Problems

Procedia Computer Science ◽

10.1016/j.procs.2016.05.503 ◽

2016 ◽

Vol 80 ◽

pp. 1279-1290 ◽

Cited By ~ 1

Author(s):

Victor Ginting ◽

Russell Johnson

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

Point Boundary ◽

B Spline ◽

Spline Finite Element ◽

Locally Conservative

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A computational study of finite element methods for second order linear two-point boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1983-0689467-x ◽

1983 ◽

Vol 40 (162) ◽

pp. 499-518 ◽

Cited By ~ 6

Author(s):

P. Keast ◽

G. Fairweather ◽

J. C. Diaz

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Computational Study ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Order Linear

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