DOI QR코드

DOI QR Code

SMOOTHERS BASED ON NONOVERLAPPING DOMAIN DECOMPOSITION METHODS FOR H(curl) PROBLEMS: A NUMERICAL STUDY

  • DUK-SOON, OH (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
  • 투고 : 2022.09.04
  • 심사 : 2022.12.15
  • 발행 : 2022.12.25

초록

This paper presents a numerical study on multigrid algorithms of V-cycle type for problems posed in the Hilbert space H(curl) in three dimensions. The multigrid methods are designed for discrete problems originated from the discretization using the hexahedral Nédélec edge element of the lowest-order. Our suggested methods are associated with smoothers constructed by substructuring based on domain decomposition methods of nonoverlapping type. Numerical experiments to demonstrate the robustness and the effectiveness of the suggested algorithms are also provided.

키워드

과제정보

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2020R1F1A1A01072168).

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