Mechanics shape function of quadrilateral element composed of subdivision triangles for recursive transfer method

  • Hatsuhiro KatoEmail author
  • Hatsuyoshi Kato
  • Yoshimasa Naito
Original Paper Area 2


The recursive transfer method (RTM) provides a unique numerical means of extracting a localised wave in a scattering problem. However, various shapes of scatterers were hitherto difficult to adapt RTM, because mesh elements were limited to rectangles. In this study, we propose what we call mechanics shape function using subdivision triangles of a quadrilateral element, and we extend RTM to be valid for various shapes of scatterers. The effect of the mechanics shape function is evaluated using a uniform waveguide with a distorted mesh.


Recursive transfer method (RTM) Mechanics shape function Weak-form discretisation Biharmonic wave Flexural wave 

Mathematics Subject Classification



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Copyright information

© The JJIAM Publishing Committee and Springer Japan KK 2017

Authors and Affiliations

  1. 1.Interdisciplinary Graduate SchoolUniversity of YamanashiKofuJapan
  2. 2.NIT Tomakomai CollegeTomakomaiJapan
  3. 3.University of YamanashiKofuJapan

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