6533b850fe1ef96bd12a83e1
RESEARCH PRODUCT
Hierarchical fast BEM for anisotropic time-harmonic 3-D elastodynamics
Alberto MilazzoIvano BenedettiM.h. Aliabadisubject
Fast BEMMathematical optimizationCollocationTime harmonicMechanical EngineeringComputationSolverLarge scale computationsGeneralized minimal residual methodComputer Science ApplicationsMatrix (mathematics)Modeling and SimulationGeneral Materials ScienceAnisotropyAnisotropic elastodynamicAlgorithmBoundary element methodCivil and Structural EngineeringMathematicsdescription
The paper presents a fast boundary element method for anisotropic time-harmonic 3-D elastodynamic problems. The approach uses the hierarchical matrices format and the ACA algorithm for the collocation matrix setup and a preconditioned GMRES solver for the solution. The development of this approach for the anisotropic case presents peculiar aspects which deserve investigation and are studied in the paper leading to the employed computational strategy and its effective tuning. Numerical experiments are presented to assess the method accuracy, performances and numerical complexity. The method ensures adequate accuracy allowing remarkable reductions in computation time and memory storage.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-01 |