Searched for: department%3A%22Mathematics%22
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Vittorietti, M. (author), Hidalgo Garcia, J. (author), Galan Lopez, J. (author), Sietsma, J. (author), Jongbloed, G. (author)
This study proposes a new approach to determine phenomenological or physical relations between microstructure features and the mechanical behavior of metals bridging advanced statistics and materials science in a study of the effect of hard precipitates on the hardening of metal alloys. Synthetic microstructures were created using multi-level...
journal article 2022
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Wang, L. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)
Simulation of fracture contact mechanics in deformable fractured media is of paramount important in computational mechanics. Previous studies have revealed that compressive loading may produce mode II fractures, which is quite different from mode I fractures induced by tensile loading. Furthermore, fractures can cross each other. This will...
journal article 2022
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Wang, L. (author), Golfier, Fabrice (author), Tinet, Anne-Julie (author), Chen, Weizhong (author), Vuik, Cornelis (author)
This work investigates numerical method and equivalent continuum approach (ECA) of fluid flow in fractured porous media. The commonly used discrete fracture model (DFM) without upscaling needs full discretization of all fractures. It enjoys the merit of capturing each fracture accurately but will get in trouble with mesh partition and low...
journal article 2022
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Kirchner, K. (author), Bolin, David (author)
Optimal linear prediction (aka. kriging) of a random field {Z(x)} x∈X indexed by a compact metric space (X, dX ) can be obtained if the mean value function m: X →R and the covariance function ∂: X × X →R of Z are known. We consider the problem of predicting the value of Z(x*) at some location x*∈ X based on observations at locations {xj }nj ...
journal article 2022
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Danczul, Tobias (author), Hetebrij, Wouter (author), Khalighi, Faeze (author), Kogler, Lukas (author), Lahaye, D.J.P. (author), Luckins, Ellen (author), Munters, Wim (author), Neunteufel, Michael (author), Vuik, Cornelis (author)
conference paper 2022
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Vermolen, F.J. (author), Bakker, D.R. (author), Vuik, Cornelis (author)
The discretisation of the Laplacian results into the well-known Laplace matrix. In the case of a one dimensional problem, an explicit formula for its inverse is derived on the basis of fundamental solutions (Green’s functions) for general boundary conditions. For a linear reaction–diffusion equation, approximations of the inverse are given.
journal article 2022
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Heinlein, A. (author), Klawonn, Axel (author), Knepper, Jascha (author), Rheinbach, Oliver (author), Widlund, Olof B. (author)
A new reduced-dimension adaptive generalized Dryja-Smith-Widlund (GDSW) overlapping Schwarz method for linear second-order elliptic problems in three dimensions is introduced. It is robust with respect to large contrasts of the coefficients of the partial differential equations. The condition number bound of the new method is shown to be...
journal article 2022
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den Haan, T.R.B. (author), Chau, K. W. (author), van der Schans, M. (author), Oosterlee, C.W. (author)
In this work, we consider rule-based investment strategies for managing a defined contribution pension savings scheme, under the Dutch pension fund testing model. We find that dynamic, rule-based investment strategies can outperform traditional static strategies, by which we mean that the investor may achieve the target retirement income with...
journal article 2022
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)
The use of sequential time integration schemes becomes more and more the bottleneck within large-scale computations due to a stagnation of processor’s clock speeds. In this study, we combine the parallel-in-time Multigrid Reduction in Time method with a p-multigrid method to obtain a scalable solver specifically designed for Isogeometric...
journal article 2022
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Wang, L. (author), Wang, Y. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)
The past decades have witnessed an increasing interest in numerical simulation for flow in fractured porous media. To date, most studies have focused on 2D or pseudo-3D computational models, where the impact of 3D complex structures on seepage has not been fully addressed. This work presents a method for modeling seepage in 3D heterogeneous...
journal article 2022
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Kootte, M.E. (author), Vuik, Cornelis (author)
Power system simulations should be adapted to be applicable to the trends that are currently evoked by the energy transition. This transition is pushing our power system from a traditional hierarchical system to a modern interactive system. In order to keep the supply and transport of energy safe and reliant, we need to change the way we perform...
book chapter 2022
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Speleers, Hendrik (author), Toshniwal, D. (author)
In this paper, we describe a general class of C<sup>1</sup> smooth rational splines that enables, in particular, exact descriptions of ellipses and ellipsoids — some of the most important primitives for CAD and CAE. The univariate rational splines are assembled by transforming multiple sets of NURBS basis functions via so-called design...
journal article 2021
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Li, W. (author), Vittorietti, M. (author), Jongbloed, G. (author), Sietsma, J. (author)
Abstract: The relationship between microstructure features and mechanical properties plays an important role in the design of materials and improvement of properties. Hole expansion capacity plays a fundamental role in defining the formability of metal sheets. Due to the complexity of the experimental procedure of testing hole expansion...
journal article 2021
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Wang, Zhijie (author), Zhai, Qingqing (author), Chen, P. (author)
The performance of units in the same batch can exhibit considerable heterogeneity due to the variation in the raw materials and fluctuation in the manufacturing process. For products suffering performance degradation in their use, such heterogeneity often results in an increase in the dispersion of the degradation paths of units in a...
journal article 2021
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Dudek, J. (author), Pina, David G. (author), Costas, Rodrigo (author)
This study explores the societal embeddedness of the websites of research projects. It combines two aims: characterizing research projects based on their weblink relationships, and discovering external societal actors that relate to the projects via weblinks. The study was based on a set of 121 EU-funded research projects and their websites....
conference paper 2021
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Janssen, R. (author), Liu, Pengyu (author)
Phylogenetic networks represent evolutionary history of species and can record natural reticulate evolutionary processes such as horizontal gene transfer and gene recombination. This makes phylogenetic networks a more comprehensive representation of evolutionary history compared to phylogenetic trees. Stochastic processes for generating...
journal article 2021
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Jongbloed, G. (author), van der Meulen, F.H. (author), Pang, L. (author)
We consider the current status continuous mark model where, if an event takes place before an inspection time T a “continuous mark” variable is observed as well. A Bayesian nonparametric method is introduced for estimating the distribution function of the joint distribution of the event time (X) and mark variable (Y). We consider two...
journal article 2021
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Mészáros, L. (author), van der Meulen, F.H. (author), Jongbloed, G. (author), El Serafy, G.Y.H. (author)
Spring phytoplankton blooms in the southern North Sea substantially contribute to annual primary production and largely influence food web dynamics. Studying long-term changes in spring bloom dynamics is therefore crucial for understanding future climate responses and predicting implications on the marine ecosystem. This paper aims to study...
journal article 2021
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Bodnar, Taras (author), Dette, Holger (author), Parolya, N. (author), Thorsén, Erik (author)
Optimal portfolio selection problems are determined by the (unknown) parameters of the data generating process. If an investor wants to realize the position suggested by the optimal portfolios, he/she needs to estimate the unknown parameters and to account for the parameter uncertainty in the decision process. Most often, the parameters of...
journal article 2021
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Zhou, Jia Bin (author), Bai, Yan Qin (author), Guo, Y. (author), Lin, H.X. (author)
In general, data contain noises which come from faulty instruments, flawed measurements or faulty communication. Learning with data in the context of classification or regression is inevitably affected by noises in the data. In order to remove or greatly reduce the impact of noises, we introduce the ideas of fuzzy membership functions and the...
journal article 2021
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