A mixed finite element method for nearly incompressible elasticity and\n Stokes equations using primal and dual meshes with quadrilateral and\n hexahedral grids

2013/06/18 by P. Lamichhane, Lamichhane, Bishnu P.
Engineering · #65N15 #65N30 #74B10 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Elasticity and Material Modeling #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1306.4100

openalex publication_date 2013/06/18 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We consider a mixed finite element method for approximating the solution of\nnearly incompressible elasticity and Stokes equations. The finite element\nmethod is based on quadrilateral and hexahedral triangulation using primal and\ndual meshes. We use the standard bilinear and trilinear finite element space\nenriched with element-wise defined bubble functions with respect to the primal\nmesh for the displacement or velocity, whereas the pressure space is\ndiscretised by using a piecewise constant finite element space with respect to\nthe dual mesh.\n

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