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| Content Provider | Springer Nature Link |
|---|---|
| Author | Cheng, Yumin Peng, Miaojuan |
| Copyright Year | 2005 |
| Abstract | The moving least-square approximation is discussed first. Sometimes the method can form an ill-conditioned equation system, and thus the solution cannot be obtained correctly. A Hilbert space is presented on which an orthogonal function system mixed a weight function is defined. Next the improved moving least-square approximation is discussed in detail. The improved method has higher computational efficiency and precision than the old method, and cannot form an ill-conditioned equation system. A boundary element-free method (BEFM) for elastodynamics problems is presented by combining the boundary integral equation method for elastodynamics and the improved moving least-square approximation. The boundary element-free method is a meshless method of boundary integral equation and is a direct numerical method compared with others, in which the basic unknowns are the real solutions of the nodal variables and the boundary conditions can be applied easily. The boundary element-free method has a higher computational efficiency and precision. In addition, the numerical procedure of the boundary element-free method for elastodynamics problems is presented in this paper. Finally, some numerical examples are given. |
| Starting Page | 641 |
| Ending Page | 657 |
| Page Count | 17 |
| File Format | |
| ISSN | 16721799 |
| Journal | Science in China Series G |
| Volume Number | 48 |
| Issue Number | 6 |
| e-ISSN | 18622844 |
| Language | English |
| Publisher | Science Press |
| Publisher Date | 2005-01-01 |
| Publisher Place | Beijing |
| Access Restriction | Subscribed |
| Subject Keyword | moving least-square approximation improved moving least-square approximation elastodynamics boundary integral equation meshless method boundary element-free method Fourier eigen transform Physics Mechanics, Fluids, Thermodynamics Astronomy |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |
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