TY - JOUR
T1 - Mortar Finite Elements for Coupling Compressible and Nearly Incompressible Materials in Elasticity
AU - Lamichhane , B. P.
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 177
EP - 192
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/762.html
KW - Mortar finite elements, Lagrange multipliers, dual space, non-matching triangulations, mixed formulations, saddle point problems.
AB - <p style="text-align: justify;">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.</p>