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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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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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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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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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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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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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Fokkink, R.J. (author), Papavassiliou, Symeon (author), Pelekis, Christos (author)
Let S and X be independent random variables, assuming values in the set of non-negative integers, and suppose further that both E(S) and E(X) are integers satisfying E(S) ≥ E(X). We establish a sufficient condition for the tail probability P(S ≥ E(S)) to be larger than the tail P(S + X ≥ E(S + X)), when the mean of S is equal to the mode.
journal article 2022
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Dwarka, V.N.S.R. (author), Vuik, Cornelis (author)
Recent research efforts aimed at iteratively solving time-harmonic waves have focused on a broad range of techniques to accelerate convergence. In particular, for the famous Helmholtz equation, deflation techniques have been studied to accelerate the convergence of Krylov subspace methods. In this work, we extend the two-level deflation method...
journal article 2022
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)
Since its introduction in [20], Isogeometric Analysis (IgA) has established itself as a viable alternative to the Finite Element Method (FEM). Solving the resulting linear systems of equations efficiently remains, however, challenging when high-order B-spline basis functions of order p> 1 are adopted for approximation. The use of...
book chapter 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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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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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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Wang, Lu Yu (author), Chen, Wei Zhong (author), Zhang, Yan Jun (author), Zhang, Xiao Dong (author), Vuik, Cornelis (author)
Modeling of fluid flow in porous media is a pillar in geoscience applications. Previous studies have revealed that heterogeneity and fracture distribution have considerable influence on fluid flow. In this work, a numerical investigation of two-phase flow in heterogeneous fractured reservoir is presented. First, the discrete fracture model is...
journal article 2022
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Chen, K. (author), Vuik, Cornelis (author)
In this article, we propose and analyze a set of fully nonstationary Anderson acceleration (AA) algorithms with two window sizes and optimized damping. Although AA has been used for decades to speed up nonlinear solvers in many applications, most authors are simply using and analyzing the stationary version of AA (sAA) with fixed window size...
journal article 2022
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Vakili, Seryas (author), Ebadi, G. (author), Vuik, Cornelis (author)
In this article, a parameterized extended shift-splitting (PESS) method and its induced preconditioner are given for solving nonsingular and nonsymmetric saddle point problems with nonsymmetric positive definite (1,1) part. The convergence analysis of the (Formula presented.) iteration method is discussed. The distribution of eigenvalues of...
journal article 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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