Convergence of Mesh Adaptive Algorithms for Elliptic Singularly Perturbed Boundary Value Problems with Exponential Boundary Layer

Journal of Physics Conference Series ◽

10.1088/1742-6596/1096/1/012067 ◽

2018 ◽

Vol 1096 ◽

pp. 012067

Author(s):

I A Blatov ◽

E V Kitaeva

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Boundary Value ◽

Adaptive Algorithms ◽

Singularly Perturbed ◽

Exponential Boundary Layer

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Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Monotonic Nonlinearity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518040097 ◽

2018 ◽

Vol 58 (4) ◽

pp. 562-571 ◽

Author(s):

I. V. Denisov

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equations

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Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Nonmonotonic Nonlinearities

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519090070 ◽

2019 ◽

Vol 59 (9) ◽

pp. 1518-1527

Author(s):

I. V. Denisov ◽

A. I. Denisov

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equations

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Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542517020051 ◽

2017 ◽

Vol 57 (2) ◽

pp. 253-271 ◽

Author(s):

I. V. Denisov

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Quadratic Nonlinearity ◽

Angular Boundary ◽

Singularly Perturbed Parabolic Equations

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Estimate of boundary layer thickness for linear, singularly perturbed two-point boundary-value problems

Journal of Optimization Theory and Applications ◽

10.1007/bf00940735 ◽

1989 ◽

Vol 63 (1) ◽

pp. 109-117 ◽

Author(s):

A. Singh ◽

M. K. Kadalbajoo

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Layer Thickness ◽

Boundary Layer Thickness ◽

Boundary Value ◽

Singularly Perturbed ◽

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On Finite Difference Fitted Schemes for Singularly Perturbed Boundary Value Problems with a Parabolic Boundary Layer

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5314 ◽

1997 ◽

Vol 208 (1) ◽

pp. 181-204 ◽

Author(s):

G.I. Shishkin

Keyword(s):

Boundary Layer ◽

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Parabolic Boundary ◽

Parabolic Boundary Layer

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Computational Method for Singularly Perturbed Boundary Value Problems with Dual Boundary Layer

Procedia Engineering ◽

10.1016/j.proeng.2015.11.383 ◽

2015 ◽

Vol 127 ◽

pp. 370-376 ◽

Author(s):

K. Phaneendra ◽

S. Rakmaiah ◽

M. Chenna Krishna Reddy

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Boundary Value ◽

Computational Method ◽

Singularly Perturbed

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“Shooting method” for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00263-6 ◽

2002 ◽

Vol 133 (2-3) ◽

pp. 623-641 ◽

Author(s):

S. Natesan ◽

N. Ramanujam

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Shooting Method ◽

Boundary Value ◽

Singularly Perturbed ◽

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Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(89)90109-2 ◽

1989 ◽

Vol 29 (4) ◽

pp. 1-10 ◽

Author(s):

G.I. Shishkin

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Parabolic Boundary ◽

Parabolic Boundary Layer

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Grid approximation of singularly perturbed boundary value problems with a regular boundary layer

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1989.4.5.397 ◽

1989 ◽

Vol 4 (5) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Regular Boundary ◽

Regular Boundary Layer ◽

Grid Approximation

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Singularly perturbed boundary value problems with a power-law boundary layer

Differential Equations ◽

10.1134/s0012266109030033 ◽

2009 ◽

Vol 45 (3) ◽

pp. 323-334 ◽

Author(s):

A. B. Vasil’eva ◽

V. S. Pilyugin

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Power Law ◽

Boundary Value ◽

Singularly Perturbed

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