A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form

Martin Stynes; Eugene O’Riordan

doi:10.1137/0723024

A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form

SIAM Journal on Numerical Analysis ◽

10.1137/0723024 ◽

1986 ◽

Vol 23 (2) ◽

pp. 369-375 ◽

Cited By ~ 22

Author(s):

Martin Stynes ◽

Eugene O’Riordan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Conservative Form ◽

Element Method

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Numerical Approximation of a Two-Dimensional Singular-Perturbation Problem Using an Asymptotic Expansion and a Finite Element Method

Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters ◽

10.1007/978-94-011-1810-1_20 ◽

1993 ◽

pp. 311-319

Author(s):

Jacques Baranger ◽

Mohammed Alami El Ferricha ◽

Harsan Amri

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Asymptotic Expansion ◽

Singular Perturbation ◽

Numerical Approximation ◽

Singular Perturbation Problem ◽

Two Dimensional ◽

Perturbation Problem ◽

Element Method

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Uniform superconvergent analysis of a new mixed finite element method for nonlinear Bi-wave singular perturbation problem

Applied Mathematics Letters ◽

10.1016/j.aml.2019.01.039 ◽

2019 ◽

Vol 93 ◽

pp. 131-138 ◽

Cited By ~ 4

Author(s):

Dongyang Shi ◽

Yanmi Wu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singular Perturbation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Element Method

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The finite element method of singular perturbation problem

Applied Mathematics and Mechanics ◽

10.1007/bf01875888 ◽

1984 ◽

Vol 5 (1) ◽

pp. 1011-1018

Author(s):

Wu Chi-kuang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

The Finite Element Method ◽

Perturbation Problem ◽

Element Method

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ALE-SUPG finite element method for convection–diffusion problems in time-dependent domains: Conservative form

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.01.032 ◽

2017 ◽

Vol 303 ◽

pp. 128-145 ◽

Cited By ~ 1

Author(s):

Sashikumaar Ganesan ◽

Shweta Srivastava

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Convection Diffusion ◽

Conservative Form ◽

Diffusion Problems ◽

Element Method

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Conforming Finite Element Approximations for a Fourth-Order Singular Perturbation Problem

SIAM Journal on Numerical Analysis ◽

10.1137/0729063 ◽

1992 ◽

Vol 29 (4) ◽

pp. 1043-1058 ◽

Cited By ~ 12

Author(s):

Bill Semper

Keyword(s):

Finite Element ◽

Singular Perturbation ◽

Fourth Order ◽

Singular Perturbation Problem ◽

Finite Element Approximations ◽

Perturbation Problem ◽

Conforming Finite Element

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An analysis of a uniformly convergent finite difference/finite element scheme for a model singular-perturbation problem

Mathematics of Computation ◽

10.1090/s0025-5718-1988-0942145-6 ◽

1988 ◽

Vol 51 (183) ◽

pp. 93-93 ◽

Cited By ~ 10

Author(s):

Eugene C. Gartland

Keyword(s):

Finite Element ◽

Finite Difference ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Finite Element Scheme ◽

Element Scheme ◽

Perturbation Problem ◽

Uniformly Convergent

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A Morley–Wang–Xu Element Method for a Fourth Order Elliptic Singular Perturbation Problem

Journal of Scientific Computing ◽

10.1007/s10915-021-01483-2 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Xuehai Huang ◽

Yuling Shi ◽

Wenqing Wang

Keyword(s):

Singular Perturbation ◽

Fourth Order ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Element Method

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A uniform high-order method for a singular perturbation problem in conservative form

Applied Mathematics and Mechanics ◽

10.1007/bf02453333 ◽

1992 ◽

Vol 13 (10) ◽

pp. 909-916

Author(s):

Wu Qi-guang ◽

Sun Xiao-di

Keyword(s):

Singular Perturbation ◽

High Order ◽

Singular Perturbation Problem ◽

Order Method ◽

High Order Method ◽

Perturbation Problem ◽

Conservative Form

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An arbitrary order uniformly convergent finite element method for singular perturbation problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630569908816921 ◽

1999 ◽

Vol 20 (7-8) ◽

pp. 737-751 ◽

Cited By ~ 2

Author(s):

Jichun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singular Perturbation ◽

Arbitrary Order ◽

Singular Perturbation Problems ◽

Uniformly Convergent ◽

Perturbation Problems ◽

Element Method

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The nonconforming virtual element method for fourth-order singular perturbation problem

Advances in Computational Mathematics ◽

10.1007/s10444-020-09743-9 ◽

2020 ◽

Vol 46 (2) ◽

Cited By ~ 1

Author(s):

Bei Zhang ◽

Jikun Zhao ◽

Shaochun Chen

Keyword(s):

Singular Perturbation ◽

Fourth Order ◽

Singular Perturbation Problem ◽

Virtual Element Method ◽

Perturbation Problem ◽

Virtual Element ◽

Element Method

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