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Displaying similar documents to “On the domain geometry dependence of the LBB condition”

Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems

Hongtao Chen, Shanghui Jia, Hehu Xie (2009)

Applications of Mathematics

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In this paper we propose a method for improving the convergence rate of the mixed finite element approximations for the Stokes eigenvalue problem. It is based on a postprocessing strategy that consists of solving an additional Stokes source problem on an augmented mixed finite element space which can be constructed either by refining the mesh or by using the same mesh but increasing the order of the mixed finite element space.

Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation

Mohamed Amara, Christine Bernardi (1999)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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On the approximation of the spectrum of the Stokes operator

Tunc Geveci, B. Daya Reddy, Howard T. Pearce (1989)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Some implementations of projection methods for Navier-Stokes equations

Jean-Luc Guermond (1996)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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On a mixed finite element method for the Stokes problem in $ℝ^{3}$

Juhani Pitkäranta (1982)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Finite element analysis of sloshing and hydroelastic vibrations under gravity

Alfredo Bermúdez, Rodolfo Rodríguez (1999)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem

Xinlong Feng, Zhifeng Weng, Hehu Xie (2014)

Applications of Mathematics

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This paper provides an accelerated two-grid stabilized mixed finite element scheme for the Stokes eigenvalue problem based on the pressure projection. With the scheme, the solution of the Stokes eigenvalue problem on a fine grid is reduced to the solution of the Stokes eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. By solving a slightly different linear problem on the fine grid, the new algorithm significantly improves the theoretical...