Results 1 to 10 of about 5,336 (304)
A Preconditioner for the Ohta--Kawasaki Equation [PDF]
SIAM Journal on Matrix Analysis and Applications, 2017 We propose a new preconditioner for the Ohta--Kawasaki equation, a nonlocal Cahn--Hilliard equation that describes the evolution of diblock copolymer melts. We devise a computable approximation to the inverse of the Schur complement of the coupled second-order formulation via a matching strategy.
Farrell, Patrick E., Pearson, John
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Support-Graph Preconditioners [PDF]
SIAM Journal on Matrix Analysis and Applications, 2006 The authors extend the ``support-graph preconditioning'' technique, introduced by \textit{Y. Notay} [Lect. Notes Math. 1457, 105--125 (1990; Zbl 0722.65012); Linear Algebra 154--156, 711--722 (1991; Zbl 0735.65028); Appl. Numer. Math. 10, No. 5, 381--396 (1992; Zbl 0756.65049)], \textit{R. Beauwens} [Linear Algebra Appl.
John R Gilbert +2 more
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Krylov Subspace Solvers and Preconditioners [PDF]
ESAIM: Proceedings and Surveys, 2018 In these lecture notes an introduction to Krylov subspace solvers and preconditioners is presented. After a discretization of partial differential equations large, sparse systems of linear equations have to be solved.
Vuik C.
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A Parallel Solver for FSI Problems with Fictitious Domain Approach
Mathematical and Computational Applications, 2023 We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier–Stokes equations, while the solid
Daniele Boffi +3 more
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An OSRC Preconditioner for the EFIE
IEEE Transactions on Antennas and Propagation, 2023 The Electric Field Integral Equation (EFIE) is a well-established tool to solve electromagnetic scattering problems. However, the development of efficient and easy to implement preconditioners remains an active research area. In recent years, operator preconditioning approaches have become popular for the EFIE, where the electric field boundary ...
Ignacia Fierro-Piccardo, Timo Betcke
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Reusing Preconditioners in Projection Based Model Order Reduction Algorithms
IEEE Access, 2020 Dynamical systems are pervasive in almost all engineering and scientific applications. Simulating such systems is computationally very intensive. Hence, Model Order Reduction (MOR) is used to reduce them to a lower dimension.
Navneet Pratap Singh, Kapil Ahuja
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Applied Sciences, 2023 A Jacobian-free Newton–Krylov (JFNK) method with effective preconditioning strategies is introduced to solve a diffusion-based tumor growth model, also known as the Fisher–Kolmogorov partial differential equation (PDE). The time discretization of the PDE
Samet Y. Kadioglu, Ersin Ozugurlu
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A Survey of Low-Rank Updates of Preconditioners for Sequences of Symmetric Linear Systems
Algorithms, 2020 The aim of this survey is to review some recent developments in devising efficient preconditioners for sequences of symmetric positive definite (SPD) linear systems A k x k = b k , k = 1 , … arising in many scientific applications, such as ...
Luca Bergamaschi
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Preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs [PDF]
Modeling, Identification and Control, 2006 Recently, the authors introduced a preconditioner for the linear systems that arise from fully implicit Runge-Kutta time stepping schemes applied to parabolic PDEs (9).
Gunnar A. Staff +2 more
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The ILUCP Preconditioner [PDF]
PAMM, 2004 AbstractWe introduce a new incomplete LU‐type preconditioner which combines the advantages of Crout's formulation of Gaussian elimination with pivoting. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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