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 ◽

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 uniformly convergent difference scheme for the singular perturbation problem of a high order elliptic differential equation

Applied Mathematics and Mechanics ◽

10.1007/bf00131089 ◽

1996 ◽

Vol 17 (5) ◽

pp. 413-421 ◽

Author(s):

Liu Guoqing ◽

Su Yucheng

Keyword(s):

Differential Equation ◽

Singular Perturbation ◽

Difference Scheme ◽

Singular Perturbation Problem ◽

Elliptic Differential Equation ◽

Perturbation Problem ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations

10.1145/101007.101051 ◽

1989 ◽

Author(s):

E. C. Gartland

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Uniform Stability ◽

Finite Difference Approximations ◽

Perturbation Problem ◽

Difference Approximations

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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 ◽

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The uniformly convergent difference schemes for a singular perturbation problem of a self-adjoint ordinary differential equation

Applied Mathematics and Mechanics ◽

10.1007/bf02018490 ◽

1989 ◽

Vol 10 (1) ◽

pp. 35-44

Author(s):

Lin Peng-cheng ◽

Guo Wen

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Difference Schemes ◽

Perturbation Problem ◽

Uniformly Convergent

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Uniformly convergent C 0 -nonconforming triangular prism element for fourth-order elliptic singular perturbation problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21878 ◽

2014 ◽

Vol 30 (6) ◽

pp. 1785-1796 ◽

Author(s):

Hongru Chen ◽

Shaochun Chen ◽

Liuchao Xiao

Keyword(s):

Singular Perturbation ◽

Fourth Order ◽

Singular Perturbation Problem ◽

Triangular Prism ◽

Perturbation Problem ◽

Uniformly Convergent

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Stability of a finite-difference discretization of a singular perturbation problem

Linear Algebra and its Applications ◽

10.1016/j.laa.2011.03.045 ◽

2012 ◽

Vol 436 (2) ◽

pp. 326-334 ◽

Author(s):

Relja Vulanović

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Finite Difference Discretization ◽

Difference Discretization

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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 ◽

Author(s):

Martin Stynes ◽

Eugene O’Riordan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Perturbation Problem ◽

Conservative Form ◽

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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 ◽

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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Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations

Applied Mathematics and Computation ◽

10.1016/0096-3003(89)90135-5 ◽

1989 ◽

Vol 31 ◽

pp. 473-485 ◽

Author(s):

Eugene C. Gartland

Keyword(s):

Finite Difference ◽

Singular Perturbation ◽

Singular Perturbation Problem ◽

Uniform Stability ◽

Finite Difference Approximations ◽

Perturbation Problem ◽

Difference Approximations

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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 ◽

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 ◽

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