A mathematical model for the dissolution of stoichiometric particles in multi-component alloys

A general model for the dissolution of stoichiometric particles in multi-component alloys is proposed and analysed. We introduce the concept of mass-conserving solutions and give a self-similar solution for the resulting Stefan-problem. Furthermore, we show that particle dissolution in multi-component alloys can under certain circumstances be...

Some mathematical aspects of particle dissolution and cross-diffusion in multi-component alloys

A general model for the dissolution of stoichiometric particles, taking into account the influences of cross-diffusion, in multi-component alloys is proposed and analyzed using a diagonalisation argument. We give a self-similar solution for the resulting Stefanproblem and state when the solutions are mass-conserving. We also give criteria for...

The influence of deflation vectors at interfaces on the deflated conjugate gradient method

We investigate the influence of the value of deflation vectors at interfaces on the rate of convergence of preconditioned conjugate gradient methods. Our set-up is a Laplace problem in two dimensions with continuous or discontinuous coeffcients that vary in several orders of magnitude. In the continuous case we are interested in the convergence...

A parallel block-preconditioned GCR method for incompressible flow problems

Segregated solution methods for compressible flow

Domain decomposition for the incompressible Navier-Stokes equations: Solving subdomain problems accurately and inaccurately

A numerical analysis for the dissolution of second phase particles in ternary alloys

Parallelism in GMRES applied to the computation of incompressible flows

Some parallelizable preconditioners for GMRES

Toepasbaarheid van hoge rekgrens staal (HRS)

Solution of the incompressible Navier-Stokes equations in general coordinates by Krylov subspace and multigrid methods

Further investigation on the solution of the incompressible Navier-Stokes equations by Krylov subspace and multigrid methods