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Astudillo, R. (author), Van Gijzen, M.B. (author)
Discretization of (linearized) convection-diffusion-reaction problems yields a large and sparse non symmetric linear system of equations, Ax = b. (1) In this work, we compare the computational behavior of the Induced Dimension Reduction method (IDR(s)) [10], with other short-recurrences Krylov methods, specifically the Bi-Conjugate Gradient...
report 2016
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Qiu, Y. (author), van Gijzen, M.B. (author), van Wingerden, J.W. (author), Verhaegen, M. (author), Vuik, C. (author)
Multilevel sequentially semiseparable (MSSS) matrices form a class of structured matrices that have low-rank off-diagonal structure, which allows the matrix-matrix operations to be performed in linear computational complexity. MSSS preconditioners are computed by replacing the Schur complements in the block LU factorization of the global linear...
report 2015
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Van Zwieten, J.S.B. (author), Sanderse, B. (author), Hendrix, M.H.V. (author), Vuik, C. (author), Henkes, R.A.W.M. (author)
One-dimensional models for multiphase flow in pipelines are commonly discretised using first-order Finite Volume (FV) schemes, often combined with implicit time-integration methods. While robust, these methods introduce much numerical diffusion depending on the number of grid points. In this paper we propose a high-order, space-time...
report 2015
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Astudillo, R. (author), Van Gijzen, M.B. (author)
This paper discusses the solution of large-scale linear matrix equations using the Induced Dimension reduction method (IDR(s)). IDR(s) was originally presented to solve system of linear equations, and is based on the IDR(s) theorem. We generalize the IDR(s) theorem to solve linear problems in any finite-dimensional space. This generalization...
report 2015
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Wingerden, J.W. (author), Verhaegen, M. (author), Vuik, C. (author)
In this manuscript, we study preconditioning techniques for optimal in-domain control of the Navier-Stokes equation, where the control only acts on a few parts of the domain. Optimization and linearization of the optimal in-domain control problem results in a generalized linear saddle-point system. The Schur complement for the generalized saddle...
report 2015
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Zhao, J. (author), Vollebregt, E.A.H. (author), Oosterlee, C.W. (author)
In this paper we extend the range of applicability of the boundary element method (BEM) for concentrated elastic contact problems by computing the influence coefficients (ICs) numerically. These ICs represent the Green's function of the problem, i.e. the surface deformation due to unit loads. For the half-space they are analytically available....
report 2015
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Mieremet, M.M.J. (author)
As a master student in AppliedMathematics at the Delft University of Technology I am highly educated in Numerical Analysis. My interest in this field even mademe choose elective courses such as Advanced Numerical Methods, Applied Finite Elements and Computational Fluid Dynamics. In my search for a challenging graduationproject I chose a research...
report 2015
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Sonneveld, P. (author)
Classical point-mechanics is derived from three principles —called axioms— that are based on observations of simple kinematical phenomena. Predefined concepts of ‘force’ and ‘mass’ are not required. The concept ’mass’ and corresponding concepts of momentum and energy follow from the first and second axiom. Together with the third axiom, a basic...
report 2015
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Tang, J.M. (author), Vuik, C. (author), Witteveen, C. (author)
In this report, the recent and future contributions of experts and groups of Delft University of Technology (DUT) on the topic of smart grids (SG) are presented. This may provide guidelines on how DUT can contribute in current and future SG projects, such as the current TKI project on “Smart Grid Evolution (SGE): Developing a service platform...
report 2014
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Astudillo, R. (author), Van Gijzen, M.B. (author)
A new algorithm to compute eigenpairs of large unsymmetric matrices is presented. Using the Induced Dimension Reduction method (IDR), which was originally proposed for solving linear systems, we obtain a Hessenberg decomposition from which we approximate the eigen-values and eigenvectors of a matrix. This decomposition has two main advantages....
report 2014
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Zhao, J. (author), Vollebregt, E.A.H. (author), Oosterlee, C.W. (author)
This paper presents a fast numerical solver for a nonlinear constrained optimization problem, arising from a 3D frictional contact problem. It incorporates an active set strategy with a nonlinear conjugate gradient method. One novelty is to consider the tractions of each slip element in a polar coordinate system, and use azimuth angles as...
report 2014
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Wingerden, J.W. (author), Verhaegen, M. (author), Vuik, C. (author)
In this paper, we consider preconditioning for PDE-constrained optimization problems. The underlying problems yield a linear saddle-point system. We study a class of preconditioners based on multilevel sequentially semiseparable (MSSS) matrix computations. The novel global preconditioner is to make use of the global structure of the saddle-point...
report 2014
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Baumann, M. (author), Van Gijzen, M.B. (author)
report 2014
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Sangers, A. (author), Van Gijzen, M.B. (author)
Google uses the PageRank algorithm to determine the relative importance of a website. Link spamming is the name for putting links between websites with no other purpose than to increase the PageRank value of a website. To give a fair result to a search query it is important to detect whether a website is link spammed so that it can be filtered...
report 2013
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Wingerden, J. (author), Verhaegen, M. (author), Vuik, C. (author)
This paper studies a new preconditioning technique for sparse systems arising from discretized partial differential equations (PDEs) in computational fluid dynamics (CFD), which exploit the multilevel sequentially semiseparable (MSSS) structure of the system matrix. MSSS matrix computations give a data-sparse way to approximate the LU...
report 2013
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He, X. (author), Vuik, C. (author)
In this report we explore the performance of the SIMPLER , augmented Lagrangian, ’grad-div’ preconditioners and their variants for the two-by-two block systems arising in the incompressible Navier-Stokes equations. The lid-driven cavity and flow over a finite flat plate are chosen as the benchmark problems. For each problem Reynolds number...
report 2013
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Van Zwieten, J.S.B. (author)
In this report we give an overview of models and discretisation techniques for the simulation of multiphase flow in long pipelines. Due to the size of the pipelines we focus on one-dimensional models, which are derived from three-dimensional conservation laws for mass, momentum and energy. All discussed one-dimensional models are hyperbolic, the...
report 2013
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Hassanabadi, M. (author)
Oil production optimization is one of the main concerns of the reservoir management. In this regard, optimal location of wells can lead to a significant increase in the oil production. The purpose of this research is to investigate a new extension of the automatic well-placement optimization technique maximizing the net present value (NPV) of...
report 2013
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Cvoric, D. (author), Lahaye, D. (author), De Haan, S.W.H. (author), Ferreira, J.A. (author)
Due to increasing levels of fault currents, Fault Current Limiters (FCLs) are expected to play an important role in the protection of future power grids. Inductive saturable FCLs are particularly interesting due to their inherent reaction on the fault. Many different configurations have been proposed in literature. Being difficult or impossible...
report 2013
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Vuik, K. (author), Daalderop, F. (author), Wilders, P. (author), Daudt, J. (author), Van Kints, R. (author), Koolstra, K. (author), Van den Oever, J. (author), Lobbezoo, B. (author)
This report gives an overview of the work done on MUMIE [2] at TU Delft for the academic year 2012 - 2013. Reports from previous years can be found on our relevant support website [3]. In October 2012 there was a kick-off meeting at TU Berlin regarding the S3M2 project [1]. During this meeting, every participant was assigned to develop material...
report 2013
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