Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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THE UNIQUE EXISTENCE OF WEAK SOLUTION TO THE CURL-BASED VECTOR WAVE EQUATION WITH FIRST ORDER ABSORBING BOUNDARY CONDITION

  • HYESUN NA (SCHOOL OF MATHEMATICS AND COMPUTING, YONSEI UNIVERSITY) ;
  • YOONA JO (SCHOOL OF MATHEMATICS AND COMPUTING, YONSEI UNIVERSITY) ;
  • EUNJUNG LEE (SCHOOL OF MATHEMATICS AND COMPUTING, YONSEI UNIVERSITY)
  • Received : 2022.12.16
  • Accepted : 2023.03.11
  • Published : 2023.03.25
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Abstract

The vector wave equation is widely used in electromagnetic wave analysis. This paper solves the vector wave equation using curl-conforming finite elements. The variational problem is established from Riesz functional based on vector wave equation and the unique existence of weak solution is explored. The edge elements are used in computation and the simulation results are compared with those obtained from a commercial simulator, ANSYS HFSS (high-frequency structure simulator).

Keywords

Acknowledgement

This work was supported by the laboratory of computational electromagnetics for large-scale stealth platform (UD200047JD).

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