 document
 Zeng, S. (author), Vuik, C. (author), Wesseling, P. (author) report 1993
 document
 Zeng, S. (author), Vuik, C. (author), Wesseling, P. (author) report 1993
 document
 Nooyen, R.R.P. (author), Vuik, C. (author), Wesseling, P. (author) report 1996
 document
 Nooyen, R.R.P. (author), Vuik, C. (author), Wesseling, P. (author) report 1996
 document
 Vuik, C. (author), Frank, J. (author), Segal, A. (author) report 2000
 document
 Van der Heul, D.R. (author), Vuik, C. (author), Wesseling, P. (author) report 2000
 document
 Vuik, C. (author), Segal, A. (author), el Yaakoubi, L. (author), Dufour, E. (author) report 2001
 document

Vermolen, F.J. (author), Vuik, C. (author)We investigate the influence of the value of deflation vectors at interfaces on the rate of convergence of preconditioned conjugate gradient methods. Our setup 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...report 2001
 document

Vermolen, F.J. (author), Vuik, C. (author), van der Zwaag, S. (author)A general model for the dissolution of stoichiometric particles, taking into account the influences of crossdiffusion, in multicomponent alloys is proposed and analyzed using a diagonalisation argument. We give a selfsimilar solution for the resulting Stefanproblem and state when the solutions are massconserving. We also give criteria for...report 2001
 document

Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author)A general model for the dissolution of stoichiometric particles in multicomponent alloys is proposed and analysed. We introduce the concept of massconserving solutions and give a selfsimilar solution for the resulting Stefanproblem. Furthermore, we show that particle dissolution in multicomponent alloys can under certain circumstances be...report 2001
 document

Vuik, C. (author), Saghir, A. (author)Numerical modeling of the melting and combustion process is an important tool in gaining understanding of the physical and chemical phenomena which occur in a gas or oilfired glass melting furnace. The incompressible NavierStokes equations are used to model the gas now in the furnace. The discrete NavierStokes equations are solved by the...report 2002
 document

Li, C. (author), Vuik, C. (author)In this paper, an eigenvalue analysis of the SIMPLE preconditioning for incompressible flow is presented. Some formulations have been set up to characterize the spectrum of the preconditioned matrix. This leads to a generalized eigenvalue problem. The generalized eigenvalue problem is investigated. Some eigenvalue bounds and the estimation for...report 2002
 document

Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author)This paper is a review of a suite of mathematical models of increasing complexity on particle dissolution in metallic alloys. This work deals with models for multicomponent particle dissolution in multicomponent alloys, where various chemical species diffuse simultaneously, and a twodimensional model incorporating interfacial reactions as in...report 2002
 document

Vermolen, F.J. (author), Vuik, C. (author), Segal, A. (author)We investigate the influence of the value of deflation vectors at interfaces on the rate of convergence of preconditioned conjugate gradient methods applied to a Finite Element discretization for an elliptic equation. Our setup is a Poisson problem in two dimensions with continuous or discontinuous coefficients that vary in several orders of...report 2002
 document

Vermolen, F.J. (author), Vuik, C. (author)A general model for the dissolution of particles in multicomponent alloys is proposed and analyzed. The model is based on diffusion equations with crossterms for the several species, combined with a Stefan condition as the equation of motion of the interface between the particle and diffusant phase. To facilitate the analysis we use a...report 2003
 document

Van der Pijl, S.P. (author), Segal, A. (author), Vuik, C. (author)The MassConserving LevelSet (MCLS) method is proposed to model multiphase flows. The aim is to model high densityratio flows with complex interface topologies, such as mixtures of bubbles and droplets. Aspects which are taken into account are: a sharp front (density changes rapidly), arbitrary shaped interfaces, surface tension, buoyancy and...report 2003
 document

Li, C. (author), Vuik, C. (author)In this paper, some theoretical results on the eigenvalue analysis of the SIMPLER preconditioning for incompressible now is presented. Some formulations have been derived to characterize the spectrum of the preconditioned matrix. These results could be helpful for the practical use of the SIMPLER preconditioning. Some numerical tests are reported.report 2003
 document

Nabben, R. (author), Vuik, C. (author)In this paper we compare various preconditioners for the numerical solution of partial dierential equations. We compare a coarse grid correction preconditioner used in domain decomposition methods with a socalled deflation preconditioner. We prove that the effective condition number of the de ated preconditioned system is always, i.e. for all...report 2003
 document
 Erlangga, Y.A. (author), Vuik, C. (author), Oosterlee, C.W. (author) report 2003
 document
 Vuik, C. (author), Erlangga, Y.A., Oosterlee, C.W. (author) report 2003