TY - JOUR
T1 - Mortar finite elements for coupling compressible and nearly incompressible materials in elasticity
AU - Lamichhane, Bishnu P.
PY - 2009
Y1 - 2009
N2 - We consider the coupling of compressible and nearly incompressible materials within the framework of mortar methods. Taking into account the locking effect, we use a suitable discretization for the nearly incompressible material and work with a standard conforming discretization elsewhere. The coupling of different discretization schemes in different subdomains are handled by flexible mortar techniques. A priori error analysis is carried out for the coupled problem, and several numerical examples are presented. Using dual Lagrange multipliers, the Lagrange multipliers can easily be eliminated by local static condensation.
AB - We consider the coupling of compressible and nearly incompressible materials within the framework of mortar methods. Taking into account the locking effect, we use a suitable discretization for the nearly incompressible material and work with a standard conforming discretization elsewhere. The coupling of different discretization schemes in different subdomains are handled by flexible mortar techniques. A priori error analysis is carried out for the coupled problem, and several numerical examples are presented. Using dual Lagrange multipliers, the Lagrange multipliers can easily be eliminated by local static condensation.
KW - Dual space
KW - Lagrange multipliers
KW - Mixed formulations
KW - Mortar finite elements
KW - Non-matching triangulations
KW - Saddle point problems
UR - http://www.scopus.com/inward/record.url?scp=62749196202&partnerID=8YFLogxK
M3 - Article
SN - 1705-5105
VL - 6
SP - 177
EP - 192
JO - International Journal of Numerical Analysis and Modeling
JF - International Journal of Numerical Analysis and Modeling
IS - 2
ER -