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Tytti Saksa (2019)
Navier-Stokes EquationsFundamentals of Ship Hydrodynamics
A Zenisek, M Vanmaele (1995)
The interpolation theory for narrow quadrilateral isoparametric finite elementsNumer. Math., 72
C Bernardi, G Raugel (1985)
A nonconforming finite element method for the time-dependent Navier-Stokes equationsSIAM J. Numer. Anal., 22
Shaochun Chen, D. Shi, Yongcheng Zhao (2004)
Anisotropic interpolation and quasi‐Wilson element for narrow quadrilateral meshesIma Journal of Numerical Analysis, 24
D. Shi, Chao-Jiang Xu (2012)
Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problemsApplied Mathematics and Mechanics, 33
Dong-yang, Shi, Yi-ran, Zhang (2006)
A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM, 24
DY Shi, HH Wang (2009)
Nonconforming H 1-Galerkin mixed FEM for Sobolev equations on anisotropic meshesActa. Math. Appl. Sini., 25
Dong-yangShi, Shi-pengMao, Shao-chunChen (2005)
AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS, 23
KT Li, AX Huang, QH Huang (1988)
The finite element methods and applications (II)
(1986)
Finite element method for Navier-Stokes equations: theory and algorithms
KT Li, L Zhou (1995)
Finite element nonlinear Galerkin methods for penalty Navier-Stokes equationsMath. Numer. Sin., 17
T Apel, M Dobrowlski (1992)
Anisotropic interpolation with application to the finite element methodComputing, 47
G. Burton (2013)
Sobolev Spaces
T. Apel, S. Nicaise, J. Schöberl (2001)
Crouzeix-Raviart type finite elements on anisotropic meshesNumerische Mathematik, 89
J. Douglas, J. Santos, D. Sheen, X. Ye (1999)
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problemsMathematical Modelling and Numerical Analysis, 33
V. Girault, P. Raviart (1979)
Finite Element Approximation of the Navier-Stokes Equations
D. Shi, S. Mao (2006)
Analysis of an Anisotropic Nonconforming Mixed Finite Element for 3D Stokes ProblemActa Mathematicae Applicatae Sinica
D. Shi, S. Mao, Shaochun Chen (2007)
A locking-free anisotropic nonconforming finite element for planar linear elasticity problemActa Mathematica Scientia, 27
(1982)
Finite element approximation of the nonstationary Navier-Stokes problem I. Regularity of solutions and second-order error estimates for spatial disretization
D. Shi, Haihong Wang (2009)
Nonconforming H1-Galerkin mixed FEM for Sobolev equations on anisotropic meshesActa Mathematicae Applicatae Sinica, English Series, 25
Dong-yang, Shi, Shi-peng, Mao, Shao-chun, Chen (2005)
ON THE ANISOTROPIC ACCURACY ANALYSIS OF ACMES NONCONFORMING FINITE ELEMENT, 23
J Douglas, JE Santos, D Sheen, X Ye (1999)
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problemsRAIRO Math. Model. Anal. Numer., 33
(2005)
The superconvergence analysis of an anisotropic element
T Apel, G Lue (1996)
Anisotropic mesh refinement in stabilized Galerkin methodsNumer. Math., 74
D. Shi, Chao-Jiang Xu (2012)
AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTICITY PROBLEM *Journal of Computational Mathematics, 30
(2010)
The lumped mass nonconforming finite element approximation for the nonstationary Navier-Stokes equations on anisotropic meshes
(1978)
The finite element method for elliptic problem
T. Apel, G. Lube (1996)
Anisotropic mesh refinement in stabilized Galerkin methodsNumerische Mathematik, 74
Shaochun Chen, Yongcheng Zhao, D. Shi (2004)
Anisotropic interpolations with application to nonconforming elementsApplied Numerical Mathematics, 49
A. Ženíšek, M. Vanmaele (1995)
The interpolation theorem for narrow quadrilateral isoparametric finite elementsNumerische Mathematik, 72
This paper is devoted to study the Crouzeix-Raviart (C-R) type nonconforming linear triangular finite element method (FEM) for the nonstationary Navier-Stokes equations on anisotropic meshes. By introducing auxiliary finite element spaces, the error estimates for the velocity in the L 2-norm and energy norm, as well as for the pressure in the L 2-norm are derived.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Apr 26, 2014
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