Optimal Error Estimate of the Penalty Finite Element Method for the Micropolar Fluid Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630560802099555 ◽

2008 ◽

Vol 29 (5-6) ◽

pp. 612-637 ◽

Author(s):

Elva Ortega-Torres ◽

Marko Rojas-Medar

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Micropolar Fluid ◽

Optimal Error Estimate ◽

Optimal Error ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Penalty Finite Element Method ◽

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An optimal error estimate of finite element method for parabolic quasi-variational inequalities with non linear source terms

Asymptotic Analysis ◽

10.3233/asy-161392 ◽

2016 ◽

Vol 100 (3-4) ◽

pp. 193-208 ◽

Author(s):

Salah Boulaaras

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Variational Inequalities ◽

Error Estimate ◽

Optimal Error Estimate ◽

Source Terms ◽

Linear Source ◽

Optimal Error ◽

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Optimal error estimate for a mixed finite element method for compressible Navier–Stokes system

Applied Numerical Mathematics ◽

10.1016/s0168-9274(02)00213-1 ◽

2003 ◽

Vol 45 (2-3) ◽

pp. 275-292 ◽

Author(s):

Jae Ryong Kweon

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes System ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Navier Stokes ◽

Optimal Error Estimate ◽

Optimal Error ◽

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Unconditional optimal error estimate of the projection/Lagrange-Galerkin finite element method for the Boussinesq equations

Numerical Algorithms ◽

10.1007/s11075-019-00698-7 ◽

2019 ◽

Vol 83 (2) ◽

pp. 669-700

Author(s):

Zhiyong Si ◽

Yanfang Lei ◽

Zhang Tong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Boussinesq Equations ◽

Optimal Error Estimate ◽

Galerkin Finite Element Method ◽

Optimal Error ◽

Galerkin Finite Element ◽

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Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations

Mathematics of Computation ◽

10.1090/s0025-5718-05-01751-5 ◽

2005 ◽

Vol 74 (251) ◽

pp. 1201-1217 ◽

Author(s):

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Optimal Error Estimate ◽

Optimal Error ◽

Navier Stokes Equations ◽

Penalty Finite Element Method

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Comparison of natural boundary conditions of pressure and traction in a penalty finite element method.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.51.2338 ◽

1985 ◽

Vol 51 (467) ◽

pp. 2338-2344

Author(s):

Yuzuru EGUCHI ◽

Genki YAGAWA

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Natural Boundary ◽

Natural Boundary Conditions ◽

Penalty Finite Element Method ◽

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An Optimal Error Estimate for a Nonconforming Finite Element Method of Upwind Type Applied to the Stationary Navier–Stokes Equations in Two and Three Dimensions

finite element methods ◽

10.1201/b16924-40 ◽

2016 ◽

pp. 427-436 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes Equations ◽

Three Dimensions ◽

Navier Stokes ◽

Optimal Error Estimate ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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A decoupling penalty finite element method for the stationary incompressible MagnetoHydroDynamics equation

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2018.08.096 ◽

2019 ◽

Vol 128 ◽

pp. 601-612 ◽

Author(s):

Jien Deng ◽

Zhiyong Si

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stationary Incompressible Magnetohydrodynamics ◽

Magnetohydrodynamics Equation ◽

Penalty Finite Element Method ◽

Incompressible Magnetohydrodynamics ◽

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Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0160 ◽

2019 ◽

Vol 11 (2) ◽

pp. 428-451

Author(s):

Lingxue Zhu and Zhenhua Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Interior Penalty ◽

Penalty Finite Element Method ◽

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Error Estimate for Two-Dimensional Coupled Burgers’ Equations By Weak Galerkin Finite Element Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1530/1/012065 ◽

2020 ◽

Vol 1530 ◽

pp. 012065

Author(s):

Hashim A. Kashkool ◽

Ahmed J. Hussein

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Burgers Equations ◽

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A Penalty Finite Element Method for a Fluid System Posed on Embedded Surface

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0420-y ◽

2019 ◽

Vol 21 (1) ◽

Author(s):

Maxim A. Olshanskii ◽

Vladimir Yushutin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid System ◽

Penalty Finite Element Method ◽

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