An interface-enriched generalized finite element analysis for electromagnetic problems with non-conformal discretizations

作者：Zhang Kedi^*; Najafi Ahmad Raeisi; Jin Jian Ming; Geubelle Philippe H

来源：International Journal of Numerical Modelling: Electronic Networks, Devices and Fields , 2016, 29(2): 265-279.

DOI：10.1002/jnm.2073

• generalized finite element method
• electromagnetic problems
• non-conformal discretization
• normal derivative discontinuity
• enriched vector basis functions

An interface-enriched generalized finite element method is presented for analyzing electromagnetic problems involving highly inhomogeneous materials. To avoid creating conformal meshes within a complex computational domain and preparing multiple meshes during optimization, enriched vector basis functions are introduced over the finite elements that intersect the material interfaces to capture the normal derivative discontinuity of the tangential field component. These enrichment functions are directly constructed from a linear combination of the vector basis functions of the sub-elements. Several numerical examples are presented to verify the method with analytical solutions and demonstrate its h-refinement convergence rate. The proposed interface-enriched generalized finite element method is shown to achieve the same level of accuracy as the standard finite element method based on conformal meshes. Two examples, involving multiple microvascular channels and circular inclusions of different radii, are analyzed to illustrate the capability of the proposed approach in handling complicated inhomogeneous geometries.

• 出版日期2016-4