Suchergebnisse - "Incomplete LU factorization"

Incomplete Sparse Approximate Inverses for Parallel Preconditioning von Anzt, Hartwig, Huckle, Thomas K., Bräckle, Jürgen, Dongarra, Jack

“… •A new preconditioning technique based on combining incomplete factorizations with Frobenius norm minimization. We call this preconditioner “Incomplete Sparse …”
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An Efficient and Robust ILU(k) Preconditioner for Steady-State Neutron Diffusion Problem Based on MOOSE von Wu, Yingjie, Zhang, Han, Liu, Lixun, Tang, Huanran, Dou, Qinrong, Guo, Jiong, Li, Fu

“… Jacobian-free Newton Krylov (JFNK) is an attractive method to solve nonlinear equations in the nuclear engineering community, and has been successfully applied …”
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HILUCSI: Simple, robust, and fast multilevel ILU for large‐scale saddle‐point problems from PDEs von Chen, Qiao, Ghai, Aditi, Jiao, Xiangmin

“… Incomplete factorization is a widely used preconditioning technique for Krylov subspace methods for solving large‐scale sparse linear systems. Its multilevel …”
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Incomplete double-cone factorizations of centrosymmetric matrices arising in spectral methods von Greif, Chen, Nataj, Sarah, Trummer, Manfred

“… We develop structure-preserving incomplete LU type factorizations for preconditioning centrosymmetric matrices and use them to numerically solve …”
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Low-Rank Correction Methods for Algebraic Domain Decomposition Preconditioners von Li, Ruipeng, Saad, Yousef

“… This study presents a parallel preconditioning method for distributed sparse linear systems, based on an approximate inverse of the original matrix, that …”
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Refined Isogeometric Analysis for a preconditioned conjugate gradient solver von Garcia, Daniel, Pardo, David, Dalcin, Lisandro, Calo, Victor M.

“… Starting from a highly continuous Isogeometric Analysis (IGA) discretization, refined Isogeometric Analysis (rIGA) introduces C0 hyperplanes that act as …”
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Preconditioned Legendre Spectral Galerkin Methods for the Non-separable Elliptic Equation von Diao, Xuhao, Hu, Jun, Ma, Suna

“… The Legendre spectral Galerkin method of self-adjoint second order elliptic equations usually results in a linear system with a dense and ill-conditioned …”
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Incomplete LU Preconditioner Based on Max-Plus Approximation of LU Factorization von Hook, James, Tisseur, Françoise

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Incomplete Sparse Approximate Inverses for Parallel Preconditioning von Anzt, Hartwig, Huckle, Thomas K., Bräckle, Jürgen, Dongarra, Jack

“… In this study, we propose a new preconditioning method that can be seen as a generalization of block-Jacobi methods, or as a simplification of the sparse …”
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VBARMS: A variable block algebraic recursive multilevel solver for sparse linear systems von Carpentieri, Bruno, Liao, Jia, Sosonkina, Masha

“… Sparse matrices arising from the solution of systems of partial differential equations often exhibit a perfect block structure, meaning that the nonzero blocks …”
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Incomplete factorization by local exact factorization (ILUE) von Kraus, Johannes, Lymbery, Maria

“… This study proposes a new preconditioning strategy for symmetric positive (semi-)definite SP(S)D matrices referred to as incomplete factorization by local …”
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Using the VBARMS method in parallel computing von Carpentieri, Bruno, Liao, Jia, Sosonkina, Masha, Bonfiglioli, Aldo, Baars, Sven

“… •We introduce a new graph compression algorithm for block construction, which extends the method by Ashcraft and requires one simple to use parameter.•We …”
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Preconditioning Helmholtz linear systems von Osei-Kuffuor, Daniel, Saad, Yousef

“… Linear systems which originate from the simulation of wave propagation phenomena can be very difficult to solve by iterative methods. These systems are …”
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Divide and Conquer Low-Rank Preconditioners for Symmetric Matrices von Li, Ruipeng, Saad, Yousef

“… This paper presents a preconditioning method based on an approximate inverse of the original matrix, computed recursively from a multilevel low-rank (MLR) …”
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Combined Preconditioning with Applications in Reservoir Simulation von Hu, Xiaozhe, Wu, Shuhong, Wu, Xiao-Hui, Xu, Jinchao, Zhang, Chen-Song, Zhang, Shiquan, Zikatanov, Ludmil

“… We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: …”
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Study on Efficient Storage Format of Sparse Matrix Based on GPU von CHENG Kai,TIAN Jin,MA Ruilin

“… In order to solve large-scale sparse group of linear equations based on Graphic Processing Unit(GPU),in this paper,a storage format HEC(Hybrid ELL and CSR) of …”
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Incremental incomplete LU factorizations with applications von Calgaro, Caterina, Chehab, Jean-Paul, Saad, Yousef

“… This paper addresses the problem of computing preconditioners for solving linear systems of equations with a sequence of slowly varying matrices. This problem …”
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ARMS: an algebraic recursive multilevel solver for general sparse linear systems von Saad, Y., Suchomel, B.

“… This paper presents a general preconditioning method based on a multilevel partial elimination approach. The basic step in constructing the preconditioner is …”
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Overcoming Memory-Capacity Constraints in the Use of ILUPACK on Graphics Processors von Aliaga, Jose I., Dufrechou, Ernesto, Ezzatti, Pablo, Quintana-Orti, Enrique S.

“… An important number of scientific and engineering problems currently require the solution of large and sparse linear systems of equations. In previous work, we …”
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Algebraic Multigrid Methods Based on Generic Approximate Banded Inverse Matrix Techniques von Gravvanis, George A, Filelis-Papadopoulos, Christos K, Paschalis I.Matskanidis

“… Since the introduction of the Algebraic MultiGrid algorithm (AMG) over twenty years ago, significant progress has been made in improving the coarsening and the …”
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