1 / 20

Meshless method moving least-square method and differential reproducing kernel method

Meshless method moving least-square method and differential reproducing kernel method. Reporter: Jai-Wei Lee Teacher: Shyh-Rong Kuo Date: June, 18, 2009 Time: 7:00pm. Outline. Introduction MLS DRKM Weight functions Shape function Conclusions. node. element. Introduction.

wilton
Download Presentation

Meshless method moving least-square method and differential reproducing kernel method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Meshless methodmoving least-square methodanddifferential reproducing kernel method Reporter: Jai-Wei Lee Teacher: Shyh-Rong Kuo Date: June, 18, 2009 Time: 7:00pm 高結期末報告(JWLee)

  2. Outline • Introduction • MLS • DRKM • Weight functions • Shape function • Conclusions 高結期末報告(JWLee)

  3. node element Introduction FEM (finite element method) mesh meshless LSM (least square method) MLS (moving least square method) MLS-RKM (moving least square reproducing kernel method ) DRKM (differential reproducing kernel method) 高結期末報告(JWLee)

  4. MLS base function Weight functions 高結期末報告(JWLee)

  5. MLS (differential) 高結期末報告(JWLee)

  6. DRKM correction function reproducing condition 高結期末報告(JWLee)

  7. DRKM 高結期末報告(JWLee)

  8. DRKM (differential) reproducing condition 高結期末報告(JWLee)

  9. DRKM (differential) 高結期末報告(JWLee)

  10. Weight functions exponential: cubic spline: quartic spline: d is the radius of the support 高結期末報告(JWLee)

  11. quartic spline: Shape function number of nodes base functions weight functions 高結期末報告(JWLee)

  12. Shape function MLS DRKM 高結期末報告(JWLee)

  13. Shape function MLS DRKM 高結期末報告(JWLee)

  14. Shape function MLS DRKM 高結期末報告(JWLee)

  15. Shape function MLS DRKM 高結期末報告(JWLee)

  16. Shape function MLS DRKM 高結期末報告(JWLee)

  17. Shape function (differential) MLS DRKM 高結期末報告(JWLee)

  18. Shape function (2) MLS DRKM 高結期末報告(JWLee)

  19. Conclusions • The differential shape function can be easily obtained by using the DRKM. • At least, there are M nodes in the influence domain. 高結期末報告(JWLee)

  20. The end Thanks for your kind attentions 高結期末報告(JWLee)

More Related