Practical fast mesh-free analysis
US7660480B1 · kind B1 · utility
Assignee
Inventors
Key dates
| Filing date | Feb 10, 2006 |
| Grant date | Feb 9, 2010 |
| Priority date | — |
| Expiry date | Feb 16, 2028 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06T17/20
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
A two-level transformation scheme to enable a practical fast mesh-free method is disclosed. The first level transformation transforms the original chosen mesh-free shape function to a first transformed mesh-free shape function that preserves Kronecker delta properties. The first transformed mesh-free function allows the essential boundary conditions to be imposed directly. The second-level transformation scheme employs a low pass filter function served as a regularization process that filters out the higher-order terms in the monomial mesh-free approximation obtained from the first-level transformation scheme with desired consistency and completeness conditions. This integration scheme requires only a low-order integration rule comparing to the high order integration rule used in the traditional mesh-free methods. The present invention simplifies the boundary condition treatments and avoids the usage of high-order integration rule and therefore is more practical than the traditional mesh-free methods.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.