Finite-Element Method with Topological Data Structure Mesh for Optimization of Electrical Devices

Xiaoyu Liu, Weinong Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review


This paper applied the finite-element method (FEM) with topological data structures to the optimization of electrical devices. A generic modifiable graph data structure is built according to the graph-theoretic foundation for these data structures. The employed topological FEM avoids rebuilding of the mesh in traditional FEM method while geometrical variations happen. It is an effective algorithm which can save computer storage and working time when applied to successive optimization. The effectiveness is verified by numerical example and comparison of the topological FEM with traditional FEM on storage load and working time is shown in this paper.

Original languageEnglish
Article number7205904
JournalIEEE Transactions on Magnetics
Issue number11
Publication statusPublished - Nov 2018


  • Finite-element method (FEM)
  • graph-theoretic foundation
  • optimization
  • topological data structure

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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