Name
Title | ||
|---|---|---|
The Boundary Element Method with a Fast Multipole Accelerated Integration Technique for 3D Elastostatic Problems with Arbitrary Body Forces. |
Abstract | ||
|---|---|---|
A line integration boundary element method (LIBEM) is proposed for three-dimensional elastostatic problems with body forces. The method is a boundary-only discretization method like the traditional boundary element method (BEM), and the boundary elements created in BEM can be used directly in the proposed method for constructing the integral lines. Finally, the body forces are computed by summing one-dimensional integrals on straight lines. Background cells can be used to cut the lines into sub-lines to compute the integrals more easily and efficiently. To further reduce the computational time of LIBEM, the fast multipole method is applied to accelerate the method for large-scale computations and the details of the fast multipole line integration method for 3D elastostatic problems are given. Numerical examples are presented to demonstrate the accuracy and efficiency of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10915-016-0335-1 | J. Sci. Comput. |
Keywords | Field | DocType |
Line integration boundary element method, Three-dimensional elastostatic problems, Body forces, Boundary element method, Fast multipole method | Boundary knot method,Discretization,Body force,Mathematical optimization,Multipole expansion,Mathematical analysis,Fast multipole method,Boundary element method,Method of fundamental solutions,Singular boundary method,Mathematics | Journal |
Volume | Issue | ISSN |
71 | 3 | 0885-7474 |
Citations | PageRank | References |
2 | 0.58 | 2 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qiao Wang | 1 | 97 | 21.94 |
| W. Zhou | 2 | 3 | 1.60 |
| Yonggang Cheng | 3 | 2 | 0.58 |
| Gang Ma | 4 | 27 | 2.63 |
| Chang Xiaolin | 5 | 2 | 2.61 |
| Qiang Huang | 6 | 266 | 91.95 |