A fast 3D Dual Boundary Element Method based on Hierarchical Matrices

Giuseppe Davi', Ivano Benedetti, Benedetti, Aliabadi

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74 Citazioni (Scopus)


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.
Lingua originaleUndefined/Unknown
pagine (da-a)2355-2376
RivistaInternational Journal of Solids and Structures
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2611???
  • ???subjectarea.asjc.2500.2500???
  • ???subjectarea.asjc.3100.3104???
  • ???subjectarea.asjc.2200.2211???
  • ???subjectarea.asjc.2200.2210???
  • ???subjectarea.asjc.2600.2604???

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