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

Title: A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids
Creator: Lamichhane, Bishnu P.
Relation: Journal of Computational and Applied Mathematics Vol. 260, p. 356-363
Publisher Link: http://dx.doi.org/10.1016/j.cam.2013.09.056
Publisher: Elsevier
Resource Type: journal article
Date: 2014
Description: We consider a mixed finite element method for approximating the solution of nearly incompressible elasticity and Stokes equations. The finite element method is based on quadrilateral and hexahedral triangulation using primal and dual meshes. We use the standard bilinear and trilinear finite element space enriched with element-wise defined bubble functions with respect to the primal mesh for the displacement or velocity, whereas the pressure space is discretized by using a piecewise constant finite element space with respect to the dual mesh.
Subject: mixed finite elements; nearly incompressible elasticity; primal and dual meshes; Stokes equations; inf–sup condition
Identifier: http://hdl.handle.net/1959.13/1341498
Identifier: uon:28754
Identifier: ISSN:0377-0427
Language: eng
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