Quasi‐uniform convergence analysis of a modified penalty finite element method for nonlinear singularly perturbed bi‐wave problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22607 ◽

2020 ◽

Author(s):

Yanmi Wu ◽

Dongyang Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Uniform Convergence ◽

Convergence Analysis ◽

Singularly Perturbed ◽

Wave Problem ◽

Penalty Finite Element Method ◽

Element Method

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Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21793 ◽

2013 ◽

Vol 29 (6) ◽

pp. 2107-2132

Author(s):

Serge Nicaise ◽

Christos Xenophontos

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Singularly Perturbed ◽

Transmission Problems ◽

Element Method ◽

Hp Finite Element

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Conditional ɛ-uniform convergence of adaptive algorithms in the finite element method as applied to singularly perturbed problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510090022 ◽

2010 ◽

Vol 50 (9) ◽

pp. 1476-1493 ◽

Cited By ~ 3

Author(s):

I. A. Blatov ◽

N. V. Dobrobog

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Uniform Convergence ◽

Adaptive Algorithms ◽

Singularly Perturbed ◽

The Finite Element Method ◽

Singularly Perturbed Problems ◽

Element Method

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Convergence analysis of an adaptive continuous interior penalty finite element method for the Helmholtz equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.02.004 ◽

2015 ◽

Vol 426 (2) ◽

pp. 1061-1079 ◽

Cited By ~ 1

Author(s):

Zhenhua Zhou ◽

Lingxue Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Convergence Analysis ◽

Interior Penalty ◽

Penalty Finite Element Method ◽

Element Method

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Convergence Analysis of a Multiscale Finite Element Method for Singularly Perturbed Problems

Multiscale Modeling and Simulation ◽

10.1137/040608490 ◽

2005 ◽

Vol 4 (3) ◽

pp. 839-866 ◽

Cited By ~ 21

Author(s):

Leopoldo P. Franca ◽

Alexandre L. Madureira ◽

Lutz Tobiska ◽

Frédéric Valentin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem

Computational and Applied Mathematics ◽

10.1007/s40314-016-0339-3 ◽

2016 ◽

Vol 37 (1) ◽

pp. 175-190

Author(s):

Helena Zarin ◽

Hans-Görg Roos ◽

Ljiljana Teofanov

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problem ◽

Boundary Value ◽

Singularly Perturbed ◽

Third Order ◽

Interior Penalty ◽

Penalty Finite Element Method ◽

Element Method

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On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation

Journal of Scientific Computing ◽

10.1007/s10915-019-01120-z ◽

2020 ◽

Vol 82 (1) ◽

Cited By ~ 1

Author(s):

Ming Cui ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Uniform Convergence ◽

Biharmonic Equation ◽

Singularly Perturbed ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Element Method

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Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.01.016 ◽

2021 ◽

Vol 163 ◽

pp. 303-316

Author(s):

Zeinab Gharibi ◽

Mehdi Dehghan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Singularly Perturbed ◽

Diffusion Reaction ◽

Weak Galerkin ◽

Convection Diffusion ◽

Reaction Problem

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Convergence analysis of a new multiscale finite element method for the stationary Navier–Stokes problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.10.011 ◽

2014 ◽

Vol 67 (1) ◽

pp. 1-25 ◽

Cited By ~ 6

Author(s):

Juan Wen ◽

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Stokes Problem ◽

Navier Stokes ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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Convergence analysis of a conforming adaptive finite element method for an obstacle problem

Numerische Mathematik ◽

10.1007/s00211-007-0098-6 ◽

2007 ◽

Vol 107 (3) ◽

pp. 455-471 ◽

Cited By ~ 46

Author(s):

Dietrich Braess ◽

Carsten Carstensen ◽

Ronald H. W. Hoppe

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Obstacle Problem ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Element Method

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The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997329220 ◽

2000 ◽

Vol 37 (4) ◽

pp. 1085-1100 ◽

Cited By ~ 30

Author(s):

Faker Ben Belgacem

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Stokes Problem ◽

Mortar Finite Element Method ◽

Mixed Mortar ◽

Element Method

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