TY - JOUR
T1 - Immersed Finite Element Method for Eigenvalue Problems in Elasticity
AU - Lee , Seungwoo
AU - Kwak , Do Young
AU - Sim , Imbo
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 424
EP - 444
PY - 2018
DA - 2018/10
SN - 10
DO - http://doi.org/10.4208/aamm.OA-2016-0189
UR - https://global-sci.org/intro/article_detail/aamm/12219.html
KW - Immersed finite element, elasticity problem, eigenvalue.
AB - <p style="text-align: justify;">We consider the approximation of eigenvalue problems for elasticity equations with interface. This kind of problems can be efficiently discretized by using immersed finite element method (IFEM) based on Crouzeix-Raviart P1-nonconforming element. The stability and the optimal convergence of IFEM for solving eigenvalue problems with interface are proved by adopting spectral analysis methods for the classical eigenvalue problem. Numerical experiments demonstrate our theoretical results.</p>