3 papers
math.NA2018
Application of the Fast Multipole Fully Coupled Poroelastic Displacement Discontinuity Method to Hydraulic Fracturing Problems
Ali Rezaei, Fahd Siddiqui, Giorgio Bornia +1
In this study, a fast multipole method (FMM) is used to decrease the computational time of a fully-coupled poroelastic hydraulic fracture model with a controllable effect on its ac…
math.NA2017
Convergence estimates for multigrid algorithms with SSC smoothers and applications to overlapping domain decomposition
Eugenio Aulisa, Giorgio Bornia, Sara Calandrini +1
In this paper we study convergence estimates for a multigrid algorithm with smoothers of successive subspace correction (SSC) type, applied to symmetric elliptic PDEs. First, we re…
physics.comp-ph2017
A monolithic ALE Newton-Krylov solver with Multigrid-Richardson-Schwarz preconditioning for incompressible Fluid Structure Interaction
Eugenio Aulisa, Simone Bna, Giorgio Bornia
In this paper we study a monolithic Newton-Krylov solver with exact Jacobian for the solution of incompressible FSI problems. A main focus of this work is on the use of geometric m…