Two Krylov subspace iterative methods, GMRES and QMR, were studied in conjunction with several preconditioning techniques for solving the linear system raised from the finite element discretisation of incompressible Navier-Stokes equations for hydrodynamic problems. The preconditioning methods under investigation were the incomplete factorisation methods such as ILU(0) and MILU, the Stokes prec...

The shortage of organs for transplantation has led researchers to look for new techniques to expand the donor pool. Preconditioning strategies have the potential to protect organs from transplant associated injury or may improve the function of substandard organs so that they become suitable for transplantation. Translating this type of technology to the clinical setting raises ethical issues, ...

The shortage of organs for transplantation has led researchers to look for new techniques to expand the donor pool. Preconditioning strategies have the potential to protect organs from transplant associated injury or may improve the function of substandard organs so that they become suitable for transplantation. Translating this type of technology to the clinical setting raises ethical issues, ...

We propose an alternative implementation of preconditioning techniques for the solution of non-linear problems. Within the framework of Newton-Krylov methods, preconditioning techniques are needed to improve the performance of the solvers. We propose a different implementation approach to re-utilize existing semiimplicit methods to precondition fully implicit non-linear schemes. We propose a pr...

Because of the characteristics of the tomographic inversion problem, iterative reconstruction techniques often suffer from poor convergence rates-especially at high spatial frequencies. By using preconditioning methods, the convergence properties of most iterative methods can be greatly enhanced without changing their ultimate solution. To increase reconstruction speed, spatially invariant prec...

We study preconditioning techniques used in conjunction with the conjugate gradient method for solving multi-length-scale symmetric positive definite linear systems originating from the quantum Monte Carlo simulation of electron interaction of correlated materials. Existing preconditioning techniques are not designed to be adaptive to varying numerical properties of the multi-length-scale syste...

We investigate and compare a few parallel preconditioning techniques in the iterative solution of large sparse linear systems arising from solid Earth simulation with and without using contact information in the domain partitioning process. Previous studies are focused on using static or matrix pattern based incomplete LU (ILU) preconditioners in a localized preconditioner implementation. Our c...

Standard preconditioning techniques based on incomplete LU (ILU) factorizations offer a limited degree of parallelism, in general. A few of the alternatives advocated so far consist of either using some form of polynomial preconditioning, or applying the usual ILU factorization to a matrix obtained from a multicolor ordering. In this paper we present an incomplete factorization technique based ...

introduction: a large body of evidence points to oxidative stress as prime candidate mediating the behavioral impairments and memory deficits in alzheimer's disease (ad). it has been demonstrated that hyperoxia preconditioning activates complex endogenous neuroprotective mechanisms including an increase in capacity of antioxidant defence mechanisms. the aim of this study was to investigate...

We consider a class of mathematical models describing multiphysics phenomena interacting through interfaces. On such interfaces, the traces fields lie (approximately) in range weighted sum two fractional differential operators. use rational function approximation to precondition first demonstrate robustness for ordinary functions given by sums exponents. Additionally, we present more realistic ...