Substructqure-Based Block-Diagonal Preconditioning for BEM Systems of Equations-Applications to the Micromechanical Analysis of General Composites
Francisco Célio de Araújo, Richard Degenhardt, Theodore E. Simos, George Psihoyios, Ch. Tsitouras · AIP conference proceedings · 2010
The boundary‐element subregion‐by‐subregion (BE SBS) algorithm, developed in previous works, is employed to construct global block‐diagonal preconditioners for BEM systems of equations. As the BE matrices for each BE subregion are independently assembled and stored, the block‐diagonal‐based preconditioners for the corresponding BE models are immediately constructed. A Krylov solver is embedded in the SBS algorithm, and this work, particularly, the Bi‐CG solver is considered. The micromechanical analysis of large‐order 3D representative volume elements (RVEs) of carbon‐nanotube (CNT) composites are carried out to show the performance of the preconditioned iterative solver.