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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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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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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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 ◽

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Analysis of an augmented fully-mixed finite element method for a bioconvective flows model

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113504 ◽

2021 ◽

Vol 393 ◽

pp. 113504

Author(s):

Eligio Colmenares ◽

Gabriel N. Gatica ◽

Willian Miranda

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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Modeling and simulation of functionally graded flexoelectric micro-cylinders based on the mixed finite element method

Applied Physics A ◽

10.1007/s00339-021-04316-z ◽

2021 ◽

Vol 127 (2) ◽

Author(s):

Yicong Zheng ◽

Liangliang Chu ◽

Guansuo Dui ◽

Xiang Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Modeling And Simulation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Functionally Graded ◽

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A Collocation Mixed Finite Element Method for the Analysis of Flexoelectric Solids

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2021.01.031 ◽

2021 ◽

Author(s):

Xinpeng Tian ◽

Jan Sladek ◽

Vladimir Sladek ◽

Qian Deng ◽

Qun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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OptimalL ∞-estimates for a mixed finite element method for second order elliptic and parabolic problems

CALCOLO ◽

10.1007/bf02576470 ◽

1983 ◽

Vol 20 (3) ◽

pp. 355-377 ◽

Author(s):

R. Scholz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Parabolic Problems ◽

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A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types

SIAM Journal on Scientific Computing ◽

10.1137/100790689 ◽

2011 ◽

Vol 33 (3) ◽

pp. 1439-1474 ◽

Author(s):

Benjamin Ganis ◽

Ivan Yotov ◽

Ming Zhong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Flow In Porous Media ◽

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Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.004 ◽

2021 ◽

Vol 84 ◽

pp. 39-55

Author(s):

Xinfei Liu ◽

Xiaoyuan Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

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Multigrid Methods for a Mixed Finite Element Method of the Darcy–Forchheimer Model

Journal of Scientific Computing ◽

10.1007/s10915-017-0466-z ◽

2017 ◽

Vol 74 (1) ◽

pp. 396-411 ◽

Author(s):

Jian Huang ◽

Long Chen ◽

Hongxing Rui

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Multigrid Methods ◽

Forchheimer Model ◽

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