GPU acceleration of preconditioned solvers for ill-conditioned linear systems

In this work we study the implementations of deflation and preconditioning techniques for solving ill-conditioned linear systems using iterative methods. Solving such systems can be a time-consuming process because of the jumps in the coefficients due to large difference in material properties. We have developed implementations of the iterative...

GPU implementation of deflated preconditioned conjugate gradient

Implementation of the Deflated Preconditioned Conjugate Gradient Method for Bubbly Flow on the Graphical Processing Unit (GPU)

In this work we have implemented the Iterative Method of Conjugate Gradients with two levels of Preconditioning to solve a System of Linear Equations on Graphical Processing Unit (GPU). This system represents the discretized Pressure equation resulting from the Level Set Method Solution of the Incompressible Navier Stokes Equation used to...