Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations

Numerical Algorithms ◽

10.1007/s11075-021-01224-4 ◽

2021 ◽

Author(s):

Jiali Xu ◽

Haiyan Su ◽

Zhilin Li

Keyword(s):

Finite Element ◽

Iterative Methods ◽

Mhd Equations ◽

Nonconforming Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Optimal Convergence

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Iterative methods in penalty finite element discretization for the steady MHD equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.02.039 ◽

2016 ◽

Vol 304 ◽

pp. 521-545 ◽

Author(s):

Haiyan Su ◽

Xinlong Feng ◽

Pengzhan Huang

Keyword(s):

Finite Element ◽

Iterative Methods ◽

Mhd Equations ◽

Finite Element Discretization ◽

Element Discretization

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Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization

Afrika Matematika ◽

10.1007/s13370-015-0370-3 ◽

2015 ◽

Vol 27 (3-4) ◽

pp. 701-729 ◽

Author(s):

Serge Nicaise ◽

Bernardin Ahounou ◽

Wilfrid Houedanou

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Nonconforming Finite Element ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error ◽

Coupled Problem

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Nonconforming finite-element discretization of convex variational problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq004 ◽

2010 ◽

Vol 31 (3) ◽

pp. 847-864 ◽

Author(s):

C. Ortner

Keyword(s):

Finite Element ◽

Variational Problems ◽

Nonconforming Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Convex Variational Problems

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A posteriori error estimates for a nonconforming finite element discretization of the time-dependent Stokes problem

Journal of Numerical Mathematics ◽

10.1515/jnum.2007.007 ◽

2007 ◽

Vol 15 (2) ◽

Author(s):

S. Nicaise ◽

N. Soualem

Keyword(s):

Finite Element ◽

Stokes Problem ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Nonconforming Finite Element ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error

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A posteriorierror estimates for a nonconforming finite element discretization of the heat equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005009 ◽

2005 ◽

Vol 39 (2) ◽

pp. 319-348 ◽

Author(s):

Serge Nicaise ◽

Nadir Soualem

Keyword(s):

Finite Element ◽

Heat Equation ◽

Nonconforming Finite Element ◽

Finite Element Discretization ◽

Element Discretization

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A posteriorierror analysis of nonconforming finite-element discretization for the Stokes equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2010.520082 ◽

2011 ◽

Vol 88 (7) ◽

pp. 1497-1508

Author(s):

Mohamed Bahaj ◽

Anas Rachid

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Nonconforming Finite Element ◽

Finite Element Discretization ◽

Element Discretization

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Convergence of three iterative methods based on the finite element discretization for the stationary Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.12.001 ◽

2009 ◽

Vol 198 (15-16) ◽

pp. 1351-1359 ◽

Author(s):

Yinnian He ◽

Jian Li

Keyword(s):

Finite Element ◽

Iterative Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Element Discretization ◽

Navier Stokes Equations ◽

Element Discretization ◽

Stationary Navier Stokes Equations

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A posteriori error estimates for a nonconforming finite element discretization of the time-dependent Stokes problem, II: Analysis of the spatial estimator

Journal of Numerical Mathematics ◽

10.1515/jnma.2007.010 ◽

2007 ◽

Vol 15 (3) ◽

Author(s):

S. Nicaise ◽

N. Soualem

Keyword(s):

Finite Element ◽

Stokes Problem ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Nonconforming Finite Element ◽

A Posteriori ◽

Finite Element Discretization ◽

Element Discretization ◽

A Posteriori Error

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Convergence Analysis of the Nonconforming Finite Element Discretization of Stokes and Navier–Stokes Equations with Nonlinear Slip Boundary Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2017.1316992 ◽

2017 ◽

Vol 38 (8) ◽

pp. 951-987

Author(s):

J. K. Djoko

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Slip Boundary Conditions ◽

Finite Element Discretization ◽

Navier Stokes Equations ◽

Element Discretization ◽

Slip Boundary ◽

Nonlinear Slip Boundary Conditions

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An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.012 ◽

2021 ◽

Vol 165 ◽

pp. 184-197

Author(s):

Jie Peng ◽

Shi Shu ◽

Junxian Wang ◽

Liuqiang Zhong

Keyword(s):

Finite Element ◽

Finite Element Discretization ◽

Element Discretization ◽

Stabilized Finite Element ◽

Advection Diffusion ◽

Diffusion Problems

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