TY - JOUR
T1 - A remark on finite element schemes for nearly incompressible elasticity
AU - Boffi, Daniele
AU - Stenberg, Rolf
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2017/11/1
Y1 - 2017/11/1
N2 - In this paper we discuss mixed finite element methods for nearly incompressible elasticity. We show that if a method uses the hydrostatic pressure as unknown, then the finite element spaces have to satisfy the condition of the ellipticity on the kernel, in addition to the well-known Babuška–Brezzi condition. Some known elements are proved to satisfy this condition.
AB - In this paper we discuss mixed finite element methods for nearly incompressible elasticity. We show that if a method uses the hydrostatic pressure as unknown, then the finite element spaces have to satisfy the condition of the ellipticity on the kernel, in addition to the well-known Babuška–Brezzi condition. Some known elements are proved to satisfy this condition.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0898122117303541
UR - http://www.scopus.com/inward/record.url?scp=85020854618&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2017.06.006
DO - 10.1016/j.camwa.2017.06.006
M3 - Article
SN - 0898-1221
VL - 74
SP - 2047
EP - 2055
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 9
ER -