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van Kan, J.J.I.M. (author), Segal, A. (author), Vermolen, Fred (author)This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process and this must inevitably lead to...book 2023
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van Kan, J.J.I.M. (author), Segal, A. (author), Vermolen, Fred (author)Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the...book 2023
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Vermolen, F.J. (author), Segal, A. (author)In finite-element computations, one often needs to calculate integrals of products of powers of monomials over simplexes. In this manuscript, we prove a generalisation of the exact integration formula that was reported and proved for two-dimensional simplexes by Holand & Bell in 1969. We extend the proof to n-dimensional simplexes and to...journal article 2018
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Vermolen, F.J. (author), Segal, A. (author), Gefen, A. (author)We consider the accumulation and formation of lipid droplets in an adipocyte cell. The process incorporates adipose nucleation (adipogenesis) and growth. At later stages, there will be merging of droplets and growth of larger droplets at the expense of the smaller droplets, which will essentially undergo lipolysis. The process is modeled by the...journal article 2011
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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), Segal, A. (author), Van der Zwaag, S. (author)In thermal processing of alloys, homogenization of the as-cast microstructure by annealing at such a high temperature that unwanted precipitates are fully dissolved, is required to obtain a microstructure suited to undergo heavy plastic deformation. This process is governed by Fickian diffusion and can be modelled as a Stefan problem. In binary...conference paper 2006
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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), Segal, A. (author), Van der Zwaag, S. (author)In thermal processing of alloys, homogenization of the as-cast microstructure by annealing at such a high temperature that unwanted precipitates are fully dissolved, is required to obtain a microstructure suited to undergo heavy plastic deformation. This process is governed by Fickian diffusion and can be modelled as a Stefan problem. In binary...conference paper 2006
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Brusche, J.H. (author), Segal, A. (author), Vuik, C. (author), Urbach, H.P. (author)In optical rewritable recording media, such as the Blu-ray Disc, amorphous marks are formed on a crystalline background of a phase-change layer, by means of short, high power laser pulses. In order to improve this data storage concept, it is of great importance to understand the mark formation process. Therefore, a rigorous numerical model is...conference paper 2006
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Brusche, J.H. (author), Segal, A. (author), Vuik, C. (author), Urbach, H.P. (author)In optical rewritable recording media, such as the Blu-ray Disc, amorphous marks are formed on a crystalline background of a phase-change layer, by means of short, high power laser pulses. In order to improve this data storage concept, it is of great importance to understand the mark formation process. Therefore, a rigorous numerical model is...conference paper 2006
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- Brusche, J.H. (author), Segal, A. (author), Vuik, C. (author) report 2006
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van der Pijl, S.P. (author), Segal, A. (author), Vuik, C. (author)In this work incompressible two-phase flows are considered. The aim is to model high density-ratio flows with arbitrary complex interface topologies, such as occur in air/water flows. Between the phases a sharp front exists, where density and viscosity change abruptly. The computational method used in this paper is the Mass Conserving Level-Set...report 2006
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- Brusche, J.H. (author), Segal, A. (author), Vuik, C. (author) report 2006
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Brusche, J.H. (author), Segal, A. (author), Urbach, H.P. (author)The finite-element method is applied to model phase-change recording in a grooved recording stack. A rigorous model for the scattering of a three-dimensional focused spot by a one-dimensional periodic grating is used to determine the absorbed light in a three-dimensional region inside the phase-change layer. The optical model is combined with a...journal article 2005
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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), Segal, A. (author)A mathematical model is proposed for the dissolution of stoichiometric particles in binary alloys occurring during the heat treatments of as-cast aluminium alloys prior to hot extrusion. The Level Set method is used to capture the interface location implicitly. The front velocity, only dened on the moving interface, should be advected to the...report 2005
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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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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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- Vuik, C. (author), Segal, A. (author), el Yaakoubi, L. (author), Dufour, E. (author) report 2001
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- Vuik, C. (author), Frank, J. (author), Segal, A. (author) report 2000
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- Wesseling, P. (author), Zijlema, M. (author), Segal, A. (author), Kassels, C.G.M. (author) journal article 1997
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- Zijlema, M. (author), Segal, A. (author), Wesseling, P. (author) journal article 1995
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- Zijlema, M. (author), Segal, A. (author), Wesseling, P. (author) journal article 1995
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