TY - JOUR
T1 - Immersed finite element methods for 4th order differential equations
AU - Lin, T.
AU - Lin, Y.
AU - Sun, W. W.
AU - Wang, Z.
PY - 2011/5/1
Y1 - 2011/5/1
N2 - We propose three new finite element methods for solving boundary value problems of 4th order differential equations with discontinuous coefficients. Typical differential equations modeling the small transverse displacement of a beam and a thin plate formed by multiple uniform materials are considered. One important feature of these finite element methods is that their meshes can be independent of the interface between different materials. Finite element spaces based on both the conforming and mixed formulations are presented. Numerical examples are given to illustrate capabilities of these methods. © 2011 Elsevier B.V. All rights reserved.
AB - We propose three new finite element methods for solving boundary value problems of 4th order differential equations with discontinuous coefficients. Typical differential equations modeling the small transverse displacement of a beam and a thin plate formed by multiple uniform materials are considered. One important feature of these finite element methods is that their meshes can be independent of the interface between different materials. Finite element spaces based on both the conforming and mixed formulations are presented. Numerical examples are given to illustrate capabilities of these methods. © 2011 Elsevier B.V. All rights reserved.
KW - 4th order interface problems
KW - IFE methods
UR - http://www.scopus.com/inward/record.url?scp=79955561178&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79955561178&origin=recordpage
U2 - 10.1016/j.cam.2011.01.041
DO - 10.1016/j.cam.2011.01.041
M3 - RGC 21 - Publication in refereed journal
SN - 0377-0427
VL - 235
SP - 3953
EP - 3964
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 13
ER -