On diffusion-uniform error estimates for the DG method applied to singularly perturbed problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt007 ◽

2013 ◽

Vol 34 (2) ◽

pp. 820-861 ◽

Author(s):

V. Ku era

Keyword(s):

Error Estimates ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniform Error ◽

Dg Method ◽

Uniform Error Estimates

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On ε-Uniform Error Estimates For Singularly Perturbed Problems in the DG Method

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_40 ◽

2012 ◽

pp. 369-378

Author(s):

V. Kučera

Keyword(s):

Error Estimates ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniform Error ◽

Dg Method ◽

Uniform Error Estimates

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A prioridiffusion-uniform error estimates for nonlinear singularly perturbed problems: BDF2, midpoint and time DG

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2016035 ◽

2017 ◽

Vol 51 (2) ◽

pp. 537-563 ◽

Author(s):

Václav Kučera ◽

Miloslav Vlasák

Keyword(s):

Error Estimates ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniform Error ◽

Uniform Error Estimates

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Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem

Mathematics of Computation ◽

10.1090/s0025-5718-07-02015-7 ◽

2008 ◽

Vol 77 (261) ◽

pp. 21-39 ◽

Author(s):

Dmitriy Leykekhman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

The Finite Element Method ◽

Uniform Error ◽

Uniform Error Estimates ◽

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Uniform Error Estimates for an Exponentially Fitted Finite Element Method for Singularly Perturbed Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142998341313 ◽

1999 ◽

Vol 36 (6) ◽

pp. 1709-1738 ◽

Author(s):

W. Dörfler

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Elliptic Equations ◽

Singularly Perturbed ◽

Uniform Error ◽

Exponentially Fitted ◽

Uniform Error Estimates ◽

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Uniform error estimates for a class of intermediate cylindrical shell problems

Numerische Mathematik ◽

10.1007/s00211-003-0484-7 ◽

2004 ◽

Vol 96 (4) ◽

pp. 661-689 ◽

Author(s):

L. Beir�o da Veiga

Keyword(s):

Cylindrical Shell ◽

Error Estimates ◽

Uniform Error ◽

Uniform Error Estimates

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Uniform error estimates of Galerkin methods for monotone Abel-Volterra integral equations on the half-line

Mathematics of Computation ◽

10.1090/s0025-5718-1989-0969485-x ◽

1989 ◽

Vol 53 (187) ◽

pp. 157-157 ◽

Author(s):

P. P. B. Eggermont

Keyword(s):

Integral Equations ◽

Error Estimates ◽

Volterra Integral Equations ◽

Half Line ◽

Galerkin Methods ◽

Uniform Error ◽

Uniform Error Estimates

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Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

SIAM Journal on Numerical Analysis ◽

10.1137/110830800 ◽

2012 ◽

Vol 50 (2) ◽

pp. 492-521 ◽

Author(s):

Weizhu Bao ◽

Yongyong Cai

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Error Estimates ◽

Wave Operator ◽

Schrodinger Equation ◽

Finite Difference Methods ◽

Nonlinear Schrodinger Equation ◽

Uniform Error ◽

Difference Methods ◽

Uniform Error Estimates

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Uniform error estimates for certain narrow Lagrange finite elements

Mathematics of Computation ◽

10.1090/s0025-5718-1994-1226816-5 ◽

1994 ◽

Vol 63 (207) ◽

pp. 105-105 ◽

Author(s):

N. Al Shenk

Keyword(s):

Finite Elements ◽

Error Estimates ◽

Uniform Error ◽

Uniform Error Estimates

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Uniform error estimates of finite element method for a 3D semilinear elliptic problem with small viscosity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.03.061 ◽

2018 ◽

Vol 463 (2) ◽

pp. 869-879

Author(s):

Yarong Zhang ◽

Yinnian He ◽

Hongbin Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Elliptic Problem ◽

Uniform Error ◽

Semilinear Elliptic Problem ◽

Semilinear Elliptic ◽

Small Viscosity ◽

Uniform Error Estimates ◽

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Uniform error estimates for triangular finite element solutions of advection-diffusion equations

Advances in Computational Mathematics ◽

10.1007/s10444-011-9228-x ◽

2011 ◽

Vol 38 (1) ◽

pp. 83-100 ◽

Author(s):

Hongtao Chen ◽

Qun Lin ◽

Junming Zhou ◽

Hong Wang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Diffusion Equations ◽

Triangular Finite Element ◽

Uniform Error ◽

Advection Diffusion ◽

Uniform Error Estimates

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