Results 11 to 20 of about 1,263 (265)
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.
Marshall W. Bern +4 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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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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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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On the Construction of Deflation-Based Preconditioners [PDF]
SIAM Journal on Scientific Computing, 2001 New effective condition number bounds for deflated systems, both with and without preconditioning are given. Subdomain deflation is very easy to implement, and the method can be very efficiently implemented on distributed memory parallel computers. Numerical experiments for a steady-state are included.
J.E. Frank (Jason), C. Vuik
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A Preconditioner for Improved Fermion Actions [PDF]
Nuclear Physics B - Proceedings Supplements, 1999 SSOR preconditioning of fermion matrix inversions which is parallelized using a locally-lexicographic lattice sub-division, has been shown to be very efficient for standard Wilson fermions. We demonstrate here the power of this method for the Sheikholeslami-Wohlert improved fermion action and for a renormalization group improved action incorporating ...
Wolfgang Bietenholz +5 more
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Communication Avoiding ILU0 Preconditioner [PDF]
SIAM Journal on Scientific Computing, 2015 Summary: In this paper we present a communication avoiding ILU0 preconditioner for solving large linear systems of equations by using iterative Krylov subspace methods. Recent research has focused on communication avoiding Krylov subspace methods based on so-called \(s\)-step methods.
Grigori, Laura, Moufawad, Sophie
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A splitting preconditioner for the incompressible navier–stokes equations
Mathematical Modelling and Analysis, 2013 In this paper, a splitting preconditioner based on the relaxed dimensional factorization (RDF) preconditioner and the modified augmented Lagrangian (MAL) preconditioner for the incompressible Navier–Stokes equations is presented.
Ze-Jun Hu, Ting-Zhu Huang, Ning-Bo Tan
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 The problem of the acceleration of the iterative process of numerical solution by the collocation and least squares (CLS) method of boundary value problems for partial differential equations is considered.
Evgenii Vasil'evich Vorozhtsov +1 more
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Mathematics, 2021 In many fields of science and engineering, partial differential equation (PDE) constrained optimal control problems are widely used. We mainly solve the optimization problem constrained by the time-periodic eddy current equation in this paper. We propose
Yan-Ran Li, Xin-Hui Shao, Shi-Yu Li
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