Use of the vector finite element method for the solution of electromagnetic problems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The vector finite element method (VFEM) is formulated for the time-harmonic Maxwell's equations to model microwave integrated circuits and electronic packages at high frequencies. A number of computational challenges often appear during the formulation of these problems ranging from proper excitation of the input ports and reflection-free truncation of the unbounded infinite domain to accurate modeling of material interfaces and anisotropies. To deal with the challenge of proper excitation/termination of the ports, a generalized eigenvalue problem is formulated at each of the ports in order to obtain the dispersive propagation characteristics and governing modes of the 2-D structure; these modal characteristics are subsequently used to properly excite and terminate the input and output ports of the 3-D structure under investigation. In the case where scattering is involved, the unbounded infinite domain is properly truncated using first-, second-, or even higher-order absorbing boundary conditions (ABCs), a perfectly matched layer (PML), or an exact radiation condition based on a boundary-integral (BI) method. Numerical results on a number of practical engineering applications illustrate the power and effectiveness of the VFEM in solving complex electromagnetic problems.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences - Proceedings of the 2nd International Conference, AMiTaNS'10
Pages37-48
Number of pages12
Volume1301
DOIs
Publication statusPublished - 2010
Event2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10 - Sozopol, Bulgaria
Duration: 21 Jun 201026 Jun 2010

Other

Other2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10
CountryBulgaria
CitySozopol
Period21/06/1026/06/10

Keywords

  • eigenvalue problems
  • electromagnetics
  • Finite element method
  • microwave circuits
  • time-harmonic Maxwell's equations

Fingerprint Dive into the research topics of 'Use of the vector finite element method for the solution of electromagnetic problems'. Together they form a unique fingerprint.

  • Cite this

    Polycarpou, A. C. (2010). Use of the vector finite element method for the solution of electromagnetic problems. In Application of Mathematics in Technical and Natural Sciences - Proceedings of the 2nd International Conference, AMiTaNS'10 (Vol. 1301, pp. 37-48) https://doi.org/10.1063/1.3526636