Paper Info
Title
A hybrid finite/boundary element method for periodic structures on non-periodic meshes using an interior penalty formulation for Maxwell's equations
Abstract
This paper presents a hybrid finite element/boundary element (FEBE) method for periodic structures. Periodic structures have been efficiently analyzed by solving for a single unit cell utilizing Floquet's theorem. However, most of the previous works require periodic meshes to properly impose the boundary conditions on the outer surfaces of the unit cell. To alleviate this restriction, the interior penalty method is adopted and implemented in this work. Also, the proper treatment of the boundary element part is addressed to account for the non-conformity of the boundary element mesh. Another ingredient of this work is the use of the efficient boundary element computation, accelerated by the Ewald transformation for the calculation of the periodic Green's function. Finally, the method is validated through examples which are discretized without the constraint of a periodic mesh.
Year
DOI
Venue
2010
10.1016/j.jcp.2010.03.014
J. Comput. Physics
Keywords
Field
DocType
periodic structure,finite elements,non-periodic mesh,boundary condition,boundary element method,boundary element mesh,efficient boundary element computation,periodic mesh,boundary element part,interior penalty formulation,interior penalty,hybrid finite element,boundary elements,interior penalty method,boundary element,periodic green,finite element
Boundary knot method,Mathematical optimization,Mathematical analysis,Extended finite element method,Finite element method,Method of fundamental solutions,Boundary element method,Singular boundary method,Mathematics,Mixed finite element method,Mixed boundary condition
Journal
Volume
Issue
ISSN
229
13
Journal of Computational Physics
Citations 
PageRank 
References 
2
0.42
3
Authors
3
Name
Order
Citations
PageRank
Seung-Cheol Lee1102.38
Vineet Rawat2201.88
Jin-Fa Lee3303.31