TY - JOUR
T1 - Inf-sup stable finite-element pairs based on dual meshes and bases for nearly incompressible elasticity
AU - Lamichhane, Bishnu P.
PY - 2009/5/9
Y1 - 2009/5/9
N2 - We consider finite-element methods based on simplices to solve the problem of nearly incompressible elasticity. Two different approaches based, respectively, on dual meshes and dual bases are presented, where in both approaches pressure is discontinuous and can be statically condensed out from the system. These novel approaches lead to displacement-based low-order finite-element methods for nearly incompressible elasticity based on rigorous mathematical framework. Numerical results are provided to demonstrate the efficiency of the approach.
AB - We consider finite-element methods based on simplices to solve the problem of nearly incompressible elasticity. Two different approaches based, respectively, on dual meshes and dual bases are presented, where in both approaches pressure is discontinuous and can be statically condensed out from the system. These novel approaches lead to displacement-based low-order finite-element methods for nearly incompressible elasticity based on rigorous mathematical framework. Numerical results are provided to demonstrate the efficiency of the approach.
KW - dual bases
KW - dual meshes
KW - mixed finite elements
KW - nearly incompressible elasticity
KW - nodal average pressure
UR - https://academic.oup.com/imajna/article-lookup/doi/10.1093/imanum/drn013
UR - http://www.scopus.com/inward/record.url?scp=65249186673&partnerID=8YFLogxK
U2 - 10.1093/imanum/drn013
DO - 10.1093/imanum/drn013
M3 - Article
AN - SCOPUS:65249186673
SN - 0272-4979
VL - 29
SP - 404
EP - 420
JO - IMA Journal of Numerical Analysis
JF - IMA Journal of Numerical Analysis
IS - 2
ER -