Results 31 to 40 of about 9,385 (270)
Robust Preconditioners for Incompressible MHD Models
, 2015 In this paper, we develop two classes of robust preconditioners for the structure-preserving discretization of the incompressible magnetohydrodynamics (MHD) system.
Hu, Kaibo +3 more
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The cost of continuity: performance of iterative solvers on isogeometric finite elements [PDF]
, 2012 In this paper we study how the use of a more continuous set of basis functions affects the cost of solving systems of linear equations resulting from a discretized Galerkin weak form.
Calo, V. M. +3 more
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Preconditioned Dirichlet-Dirichlet Methods for Optimal Control of Elliptic PDE
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The discretization of optimal control of elliptic partial differential equations problems yields optimality conditions in the form of large sparse linear systems with block structure. Correspondingly, when the solution method is a Dirichlet-Dirichlet non-
Loghin Daniel
doaj +1 more source
A New Hybrid Preconditioner for the Interior Point Method
Trends in Computational and Applied Mathematics, 2019 This study aims to improve the computation of the search direction in the primal-dual Interior Point Method through preconditioned iterative methods. It is about a hybrid approach that combines the Controlled Cholesky Factorization preconditioner and ...
Manolo Rodriguez Heredia +2 more
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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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A parallelizable preconditioner for the iterative solution of implicit Runge–Kutta-type methods
Journal of Computational and Applied Mathematics, 1999 This article is concerned with the implementation of implicit Runge-Kutta (RK) methods such as those based on Gauss, Radon and Lobatto points applied to (stiff) ordinary differential equations. The use of a preconditioner, whose decomposition cost for parallel implementation is equivalent to the cost for the implicit-Euler method, is proposed.
Jay, Laurent O., Braconnier, Thierry
openaire +2 more sources
Krylov Subspace Solvers and Preconditioners
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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On a computer implementation of the block Gauss-Seidel method for normal systems of equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 This article focuses on the modification of the block option Gauss-Seidel method for normal systems of equations, which is a sufficiently effective method of solving generally overdetermined, systems of linear algebraic equations of high dimensionality ...
Alexander I Bogdanova +1 more
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
wiley +1 more source
Improved New Block Preconditioner for Solving 3 × 3 Block Saddle Point Problems
AxiomsIn order to overcome the computational challenges associated with block preconditioners for Krylov subspace methods, particularly those arising from Schur complement systems, this paper proposes an improved new block (INB) preconditioner for solving 3 ...
Xin-Hui Shao, Xin-Yang Liu
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