An edge-based smoothed FEM for multiscale electrostatic lens modeling

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Abstract

In this paper, an edge based smoothed finite element method (ES-FEM) for 3D multiscale electrostatic lens modeling is presented. In the ES-FEM, the computational domain is first decomposed into a number of non-overlapping smoothing domains associated with each edge of tetrahedrons. Unlike the traditional FEM, the smoothed gradient technique is then applied to averaging the gradient of nodal basis functions in ES-FEM and leads to an averaged stiff matrix. Since adjacent geometry information is considered in the ES-FEM, it is much more stable to mesh distortions. A multiscale electrostatic lens is modeled to demonstrate the capabilities of the ES-FEM. Therefore, the ES-FEM shows great potential to solve practical complex multiscale problems.

Original languageEnglish
Title of host publicationProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages780-782
Number of pages3
ISBN (Electronic)9781728105635
DOIs
StatePublished - Sep 2019
Event21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 - Granada, Spain
Duration: 9 Sep 201913 Sep 2019

Publication series

NameProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019

Conference

Conference21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
Country/TerritorySpain
CityGranada
Period9/09/1913/09/19

Keywords

  • Edge-based
  • Mesh distortion
  • Multiscale
  • Smoothed FEM

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