A spectral multipole method for efficient solution of large-scale boundary element models in elastostatics. (English) Zbl 0852.73076
The authors present a spectral multipole algorithm that substantially reduces the number of elements that can be used in boundary element models. The memory requirements are reduced from \(O(N^2)\) to \(O(N)\) words, and the computational costs are reduced from \(O(N^2)\) to \(O(N)\) operations that are required to evaluate the element-to-element cross influences. The savings in computational speed and fast memory requirements are demonstrated in some numerical examples. Finally, the performance of the algorithm is shown on large-scale granular assembly models.
Reviewer: K.T.S.R.Iyengar (Bangalore)
MSC:
| 74S15 | Boundary element methods applied to problems in solid mechanics |
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74A55 | Theories of friction (tribology) |
| 74M15 | Contact in solid mechanics |
| 65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
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