Adaptive finite element-boundary integral analysis for electromagnetic fields in 3-D

Matthys M. Botha, Jianming Jin

Research output: Contribution to journalArticle

Abstract

This paper presents a complete adaptive finite element-boundary integral (FE-BI) analysis scheme for the time-harmonic, electromagnetic analysis of three-dimensional inhomogeneous scatterers/radiators in free-space. The adaptive scheme is based on an FE-BI formulation which yields electric and magnetic field solutions simultaneously. It employs a posteriori error estimates which exploit the availability of both field solutions and estimates error distributions and global solution quality for the electric and magnetic fields separately. It automatically determines which elements should be refined in order to equi-distribute the estimated error, based on the type of refinement requested (h, p or hp). This automatic determination is based on extrapolating the elemental error estimates. The algorithm terminates when specified tolerance levels are reached by the electric and/or magnetic field global solution quality estimates. The only required user specifications within the algorithm are the termination tolerances and the types of refinements to effect. Results are presented which show that within the scope of the presented error measures significant reductions in computational cost may be achieved. The proposed scheme could be used with other types of error estimates and it could be adapted to other FE or FE-BI formulations.

Original languageEnglish (US)
Pages (from-to)1710-1720
Number of pages11
JournalIEEE Transactions on Antennas and Propagation
Volume53
Issue number5
DOIs
StatePublished - May 1 2005

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Electromagnetic fields
electromagnetic fields
estimates
Magnetic fields
Electric fields
magnetic fields
formulations
electric fields
Radiators
radiators
availability
specifications
Availability
electromagnetism
costs
Specifications
harmonics
scattering
Costs

Keywords

  • A posteriori error estimation
  • Adaptive analysis
  • Computational electromagnetics
  • Hybrid finite element-boundary integral method (FE-BI)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Adaptive finite element-boundary integral analysis for electromagnetic fields in 3-D. / Botha, Matthys M.; Jin, Jianming.

In: IEEE Transactions on Antennas and Propagation, Vol. 53, No. 5, 01.05.2005, p. 1710-1720.

Research output: Contribution to journalArticle

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