Journal of the Korean Society for Industrial and Applied Mathematics

  • 제23권2호
  • /
  • Pages.115-138
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  • 2019
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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ALGORITHMS TO APPLY FINITE ELEMENT DUAL SINGULAR FUNCTION METHOD FOR THE STOKES EQUATIONS INCLUDING CORNER SINGULARITIES

  • JANG, DEOK-KYU (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY) ;
  • PYO, JAE-HONG (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY)
  • 투고 : 2019.03.18
  • 심사 : 2019.06.18
  • 발행 : 2019.06.25
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초록

The dual singular function method [DSFM] is a solver for corner sigulaity problem. We already construct DSFM in previous reserch to solve the Stokes equations including one singulairity at each reentrant corner, but we find out a crucial incorrection in the proof of well-posedness and regularity of dual singular function. The goal of this paper is to prove accuracy and well-posdness of DSFM for Stokes equations including two singulairities at each corner. We also introduce new applicable algorithms to slove multi-singulrarity problems in a complicated domain.

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참고문헌

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