Searched for: subject%3A%22Iterative%255C+solvers%22
(1 - 16 of 16)
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Balzani, Daniel (author), Heinlein, A. (author), Klawonn, Axel (author), Knepper, Jascha (author), Nurani Ramesh, Sharan (author), Rheinbach, Oliver (author), Saßmannshausen, Lea (author), Uhlmann, Klemens (author)
A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial walls. A stretch-dependent smooth muscle model by Uhlmann and Balzani is modified to describe the interaction of pharmacological drugs and the inhibition of smooth...
journal article 2024
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Kühn, Martin J. (author), Holke, Johannes (author), Lutz, Annette (author), Thies, J. (author), Röhrig-Zöllner, Melven (author), Bleh, Alexander (author), Backhaus, Jan (author), Basermann, Achim (author)
Developments in numerical simulation of flows and high-performance computing influence one another. More detailed simulation methods create a permanent need for more computational power, while new hardware developments often require changes to the software to exploit new hardware features. This dependency is very pronounced in the case of...
journal article 2023
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Xu, F. (author), Hajibeygi, H. (author), Sluys, Lambertus J. (author)
In fractured geological formations, as a result of the in-situ stress changes, fractures can propagate or slide. This phenomenon can be efficiently modeled by the extended finite element method (XFEM) when there are only a few fractures present. However, geological reservoirs contain many fractures which can also cross and are densely...
journal article 2023
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Hogervorst, T.A. (author), Nane, R. (author), Marchiori, Giacomo (author), Qiu, Tong Dong (author), Blatt, Markus (author), Rustad, Alf Birger (author)
Scientific computing is at the core of many High-Performance Computing applications, including computational flow dynamics. Because of the utmost importance to simulate increasingly larger computational models, hardware acceleration is receiving increased attention due to its potential to maximize the performance of scientific computing....
journal article 2022
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Nguyen, Buu-Van (author)
The single-step single nucleotide polymorphism best linear unbiased prediction (ssSNPBLUP) model can potentially be used in animal breeding for genetic evaluations. It has been reported that this model has convergence issues when the Preconditioned Conjugate Gradient (PCG) method is applied. This is due to the linear system being ill-conditioned...
master thesis 2021
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Xu, F. (author), Hajibeygi, H. (author), Sluys, Lambertus J. (author)
Deformable fractured porous media appear in many geoscience applications. While the extended finite element method (XFEM) has been successfully developed within the computational mechanics community for accurate modeling of deformation, its application in geoscientific applications is not straightforward. This is mainly due to the fact that...
journal article 2021
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)
The Material Point Method (MPM) has been applied successfully to problems in engineering which involve large deformations and history-dependent material behavior. However, the classical method suffers from some shortcomings which influence the quality of the numerical solution significantly. High-order B-spline basis functions solve the problem...
conference paper 2019
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)
Introduced in [1], Isogeometric Analysis (IgA) has become widely accepted in academia and industry. However, solving the resulting linear systems remains a challenging task. For instance, the condition number of the Poisson operator scales quadratically with the mesh width h, but, in contrast to standard Finite Elements, exponentially with the...
conference paper 2018
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Wijchers, M.S. (author)
Hydrocephalus is one of the most common abnormalities affecting the nervous system of children around the globe. Especially in developing countries hydrocephalus is a large problem. It is often left untreated resulting in suffering, brain damage, developmental delays and ultimately death. This makes an early detection more opportune than ever....
master thesis 2016
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Sheikh, A.H. (author)
The Helmholtz equation is the simplest possible model for the wave propagation. Perhaps this is the reason, despite denying traditional iterative methods like Krylov sub-space methods, Multigrids, etcetera, numerical solution of the Helmholtz equation has been an interesting and abundant problem to researchers since years. The work in this...
doctoral thesis 2014
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Xu, S. (author)
This thesis deals with two research problems. The first research problem is motivated by the numerical computation involved in the Time Domain Simulation (TDS) of Power Grids. Due to the ever growing size and complexity of Power Grids such as the China National Grid, accelerating TDS has become a stringent need for the online analysis of these...
doctoral thesis 2011
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Lloberas Valls, O. (author), Rixen, D.J. (author), Simone, A. (author), Sluys, L.J. (author)
In this contribution we describe a methodology for the study of softening brittle materials at different scales of observation. The goal is to account for a higher resolution at those areas that undergo the non-linear processes. We apply the FETI (Finite Element Tearing and Interconnecting) technique to glue different domain resolutions during...
conference paper 2009
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Baur, O. (author), Austen, G. (author), Kusche, J. (author)
We develop and apply an efficient strategy for Earth gravity field recovery from satellite gravity gradiometry data. Our approach is based upon the Paige-Saunders iterative least-squares method using QR decomposition (LSQR). We modify the original algorithm for space-geodetic applications: firstly, we investigate how convergence can be...
journal article 2007
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Röllin, S. (author), Fichtner, W. (author)
In most numerical simulations in computational science and engineering, a preconditioner is mandatory to iteratively solve large sparse linear systems. In theory, a good preconditioner clusters all eigenvalues of the iteration matrix around one. However, in practice, there may still be a few outliers. In particular, small eigenvalues deteriorate...
conference paper 2006
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Plessix, R.E. (author)
During the last three decades high-frequency approximations or paraxial (one-way) approximations of the wave equation have been successfully used to process seismic data in two-dimensional or three-dimensional spaces. With the increase of computer power and the need to take into account complex geological structures, solutions of the exact wave...
conference paper 2006
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Ferronato, M. (author)
doctoral thesis 2003
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