TITLE

Hybridization of Mixed High-Order Methods on General Meshes and Application to the Stokes Equations

AUTHOR(S)
Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A.
PUB. DATE
April 2015
SOURCE
Computational Methods in Applied Mathematics;Apr2015, Vol. 15 Issue 2, p111
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
No abstract available.
ACCESSION #
101893581

 

Related Articles

  • MULTIGRID METHODS FOR THE GENERALIZED STOKES EQUATIONS BASED ON MIXED FINITE ELEMENT METHODS. Qing-ping Deng; Xiao-ping Feng // Journal of Computational Mathematics;Mar2002, Vol. 20 Issue 2, p129 

    Examines multigrid methods for the generalized stationary Stokes equations which are discretized by various mixed finite element methods. Information on a multigrid algorithm; preliminaries of convergence; Application of the general multigrid algorithm.

  • Stabilisation using bubbles in F.E. time dependent problem with application in forming. Coupez, Thierry // AIP Conference Proceedings;2007, Vol. 907 Issue 1, p1396 

    A simple and unified approach is described to stabilize FE on unstructured meshes for a large panel of problems. A variational multiscale approach may be used as a guideline to obtain stability. The simple P1 continuous approximation is systematically augmented with a bubble function inside...

  • N-Dimensional Stokes-Brinkman Equations using a Mixed Finite Element Method. Kannanut Chamsri // Australian Journal of Basic & Applied Sciences;2014 Special, Vol. 8 Issue 11, p30 

    A macroscale model is developed to model a porous medium and adjacent free fluid. Typically, fluid flows through a porous medium by a pressure gradient. In this problem, we introduce the model that fluid moves by the movement of solid phases. Hybrid mixture theory (HMT) and nondimensionalization...

  • Application of Hybrid Method for Aerodynamic Noise Prediction. Yu, L.; Song, W. P. // AIP Conference Proceedings;9/28/2011, Vol. 1376 Issue 1, p375 

    A hybrid prediction method for aerodynamic noise is performed using high order accuracy method in this paper. The method combines a two-dimensional Unsteady Reynolds-Averaged Navier-Stokes(URANS) solver with the acoustic analogy method using Ffowcs Williams-Hawkings equation with penetrable data...

  • A TWO-LEVEL FINITE ELEMENT GALERKIN METHOD FOR THE NONSTATIONARY NAVIER-STOKES EQUASIONS I: SPATIAL DISCRETIZATION. Yin-nian He // Journal of Computational Mathematics;Jan2004, Vol. 22 Issue 1, p21 

    In this article we consider a two-level finite element Galerkin method using mixed finite elements for the two-dimensional nonstationary incompressible Navier-Stokes equations. The method yields a H�-optimal velocity approximation and a L�-optimal pressure approximation. The two-level...

  • A MIXED FINITE ELEMENT METHOD ON A STAGGERED MESH FOR NAVIER-STOKES EQUATIONS. Houde Han; Ming Yan // Journal of Computational Mathematics;Nov2008, Vol. 26 Issue 6, p816 

    In this paper, we introduce a mixed finite element method on a staggered mesh for the numerical solution of the steady state Navier-Stokes equations in which the two components of the velocity and the pressure are defined on three different meshes. This method is a conforming quadrilateral Q1 x...

  • Applications of Generalized Finite Difference Method in Fluid-Rigid Body Interaction Problems. Wu Di; Yeo, K. S.; Lim, T. T. // AIP Conference Proceedings;2015, Vol. 1648 Issue 1, p1 

    A Generalized Finite Difference (GFD) method for solving 3D incompressible Navier-Stokes (NS) equations on hybrid meshfree-Cartesian grid is proposed. This numerical scheme could be implemented in moving boundary problems such as Fluid-Structure Interaction (FSI). Needless to reconstruct the...

  • High-order discontinuous Galerkin solver on hybrid anisotropic meshes for laminar and turbulent simulations. Jiang, Zhen-hua; Yan, Chao; Yu, Jian // Applied Mathematics & Mechanics;Jul2014, Vol. 35 Issue 7, p799 

    Efficient and robust solution strategies are developed for discontinuous Galerkin (DG) discretization of the Navier-Stokes (NS) and Reynolds-averaged NS (RANS) equations on structured/unstructured hybrid meshes. A novel line-implicit scheme is devised and implemented to reduce the memory gain...

  • A-stable High Order Hybrid Linear Multistep Methods for Stiff Problems. Okuonghae, R. I. // Journal of Algorithms & Computational Technology;Dec2014, Vol. 8 Issue 4, p441 

    This paper considers a new class of high order hybrid linear multistep methods for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The numerical experiments shows the application of the methods on stiff problems.

  • Mesh-Independence of the Lagrange-Newton Method for Nonlinear Optimal Control Problems and their Discretizations. Alt, Walter // Annals of Operations Research;2001, Vol. 101 Issue 1-4, p101 

    In a recent paper we proved a mesh-independence principle for Newton's method applied to stable and consistent discretizations of generalized equations. In this paper we introduce a new consistency condition which is easier to check in applications. Using this new condition we show that the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics