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document
Zeng, S. (author), Vuik, C. (author), Wesseling, P. (author)
report 1993
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Zeng, S. (author), Vuik, C. (author), Wesseling, P. (author)
report 1993
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Nooyen, R.R.P. (author), Vuik, C. (author), Wesseling, P. (author)
report 1996
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Nooyen, R.R.P. (author), Vuik, C. (author), Wesseling, P. (author)
report 1996
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Vermolen, F. (author), Vuik, K. (author), Van der Zwaag, S. (author)
conference paper 1997
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Brakkee, E. (author), Vuik, C. (author), Wesseling, P. (author)
conference paper 1997
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Vuik, C. (author), Frank, J. (author), Segal, A. (author)
report 2000
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Van der Heul, D.R. (author), Vuik, C. (author), Wesseling, P. (author)
report 2000
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Vuik, C. (author), Segal, A. (author), el Yaakoubi, L. (author), Dufour, E. (author)
report 2001
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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 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...
report 2001
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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 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...
report 2001
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Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author)
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...
report 2001
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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 oil-fired glass melting furnace. The incompressible Navier-Stokes equations are used to model the gas now in the furnace. The discrete Navier-Stokes equations are solved by the...
report 2002
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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
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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 multi-component particle dissolution in multi-component alloys, where various chemical species diffuse simultaneously, and a two-dimensional model incorporating interfacial reactions as in...
report 2002
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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 set-up is a Poisson problem in two dimensions with continuous or discontinuous coefficients that vary in several orders of...
report 2002
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Vermolen, F.J. (author), Vuik, C. (author)
A general model for the dissolution of particles in multi-component alloys is proposed and analyzed. The model is based on diffusion equations with cross-terms 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
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Van der Pijl, S.P. (author), Segal, A. (author), Vuik, C. (author)
The Mass-Conserving Level-Set (MCLS) method is proposed to model multi-phase flows. The aim is to model high density-ratio 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
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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
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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 so-called deflation preconditioner. We prove that the effective condition number of the de ated preconditioned system is always, i.e. for all...
report 2003
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