In this paper a fast solver for three-dimensional BEM and DBEM is developed. The technique is based on the use ofhierarchical matrices for the representation of the collocation matrix and uses a preconditioned GMRES for the solutionof the algebraic system of equations. The preconditioner is built exploiting the hierarchical arithmetic and taking fulladvantage of the hierarchical format. Special algorithms are developed to deal with crack problems within the contextof DBEM. The structure of DBEM matrices has been efficiently exploited and it has been demonstrated that, since thecracks form only small parts of the whole structure, the use of hierarchical matrices can be particularly advantageous. Testexamples presented show that, with the proposed technique, substantial increase in number of elements over the crack surfacesleads only to moderate increases in memory storage and solution time.
|Rivista||International Journal of Solids and Structures|
|Stato di pubblicazione||Published - 2008|
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