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- Van Veldhuizen, S. (author), Vuik, C. (author), Kleijn, C.R. (author) report 2008
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- Ur Rehman, M. (author), Vuik, C. (author), Segal, G. (author) report 2008
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- Vuik, C. (author) public lecture 2008
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Javierre, E. (author), Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author)A computational algorithm to study the evolution of complex wound morphologies is developed based on a model of wound closure by cell mitosis and migration due to Adam [Math Comput Model 30(5–6):23–32, 1999]. A detailed analysis of the model provides estimated values for the incubation and healing times. Furthermore, a set of inequalities are...journal article 2008
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- Idema, R. (author), Lahaye, D.J.P. (author), Vuik, C. (author) report 2009
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- Van Slingerland, P. (author), Ryan, J.K. (author), Vuik, C. (author) report 2009
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Tang, J.M. (author), Nabben, R. (author), Vuik, C. (author), Erlangga, Y.A. (author)For various applications, it is well-known that a multi-level, in particular two-level, preconditioned CG (PCG) method is an efficient method for solving large and sparse linear systems with a coefficient matrix that is symmetric positive definite. The corresponding two-level preconditioner combines traditional and projection-type...journal article 2009
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- Van Wijngaarden, W.K. (author), Vermolen, F.J. (author), Van Meurs, G.A.M. (author), Vuik, C. (author) report 2009
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- Vermolen, F.J. (author), Vuik, C. (author), Hegen, D. (author) report 2009
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- Sheikh, A.H. (author), Vuik, C. (author), Lahaye, D. (author) report 2009
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Tang, J.M. (author), MacLachlan, S.P. (author), Nabben, R. (author), Vuik, C. (author)It is well known that two-level and multilevel preconditioned conjugate gradient (PCG) methods provide efficient techniques for solving large and sparse linear systems whose coefficient matrices are symmetric and positive definite. A two-level PCG method combines a traditional (one-level) preconditioner, such as incomplete Cholesky, with a...journal article 2010
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Application of the numerical density-enthalpy method to the multi-phase flow through a porous mediumIbrahim, D. (author), Vermolen, F.J. (author), Vuik, C. (author)In this paper we apply a new method to solve multi-phase fluid flow problem for 1D1D and 2D2D fluid systems. This method is developed at TNO and presented in [1] for spatially homogeneous systems. We call this method the numerical density-enthalpy method (or ??-hh method) because density-enthalpy phase diagrams (or ??-hh diagrams) play an...journal article 2010
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Van 't Wout, E. (author), Van Gijzen, M.B. (author), Ditzel, A. (author), Van der Ploeg, A. (author), Vuik, C. (author)Ship simulators are used for training purposes and therefore have to calculate realistic wave patterns around the moving ship in real time. We consider a wave model that is based on the variational Boussinesq formulation, which results in a set of partial differential equations. Discretization of these equations gives a large system of linear...journal article 2010
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Yeung, M.C. (author), Tang, J.M. (author), Vuik, C. (author)We consider the solution of large and sparse linear systems of equations by GMRES. Due to the appearance of unfavorable eigenvalues in the spectrum of the coefficient matrix, the convergence of GMRES may hamper. To overcome this, a deflated variant of GMRES can be used, which treats those unfavorable eigenvalues effectively. In the literature,...report 2010
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- Gupta, R. (author), Vuik, C. (author), Lemmens, C.W.J. (author) report 2010
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- Vermolen, F.J. (author), Vuik, C. (author) report 2010
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Idema, R. (author), Lahaye, D.J.P. (author), Vuik, C. (author), Van der Sluis, L. (author)The power flow problem is generally solved by the Newton-Raphson method with a sparse direct solver for the linear system of equations in each iteration. While this works fine for small power flow problems, we will show that for very large problems the direct solver is very slow and we present alternatives that scale much better in the problem...report 2010
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- Van Slingerland, P. (author), Vuik, C. (author) report 2010
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Sheikh, A.H. (author), Lahaye, D. (author), Vuik, C. (author)A Helmholtz solver whose convergence is parameter independent can be obtained by combining the shifted Laplace preconditioner with multigrid deflation. To proof this claim, we develop a Fourier analysis of a two-level variant of the algorithm proposed in [1]. In this algorithm those eigenvalues that prevent the shifted Laplace preconditioner...report 2011
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Van Slingerland, P. (author), Ryan, J.K. (author), Vuik, C. (author)Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering is a promising technique not only in improving the order of the numerical solution obtained by a discontinuous Galerkin (DG) method but also in increasing the smoothness of the field and improving the magnitude of the errors. This was initially established as an...journal article 2011