PRECONDITIONERS

作品数：40被引量：30H指数：3
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Iterative Subregion Correction Preconditioners with Adaptive Tolerance for Problems with Geometrically Localized Stiffness
《Communications on Applied Mathematics and Computation》2024年第2期811-836,共26页Michael Franco Per-Olof Persson Will Pazner 
We present a class of preconditioners for the linear systems resulting from a finite element or discontinuous Galerkin discretizations of advection-dominated problems.These preconditioners are designed to treat the ca...
关键词：Subregion correction Nested Krylov Geometrically localized stiffness 
Schur Complement Based Preconditioners for Twofold and Block Tridiagonal Saddle Point Problems
《Communications in Mathematical Research》2024年第2期214-244,共31页Mingchao Cai Guoliang Ju Jingzhi Li 
the NIH-RCMI(Grant No.347U54MD013376);the affliated project award from the Center for Equitable Artificial Intelligence and Machine Learning Systems at Morgan State University(Project ID 02232301);the National Science Foundation awards(Grant No.1831950).The work of G.Ju is supported in part by the National Key R&D Program of China(Grant No.2017YFB1001604);the National Natural Science Foundation of China(Grant No.11971221);the Shenzhen Sci-Tech Fund(Grant Nos.RCJC20200714114556020,JCYJ20170818153840322,JCYJ20190809150413261);the Guangdong Provincial Key Laboratory of Computational Science and Material Design(Grant No.2019B030301001).
In this paper,we consider using Schur complements to design preconditioners for twofold and block tridiagonal saddle point problems.One type of the preconditioners are based on the nested(or recursive)Schur complement...
关键词：Schur complement block tridiagonal systems positively stable preconditioners Routh-Hurwitz stability criterion. 
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms
《Communications in Computational Physics》2023年第8期837-868,共32页Mei Zhang Haijian Yang Chao Yang Shuyu Sun 
supported by the National Natural Science Foundation of China(No.12131002 and No.11971006);Shenzhen Science and Technology Program(No.JCYJ20210324130801003);Guangdong Basic and Applied Basic Research Foundation(No.2022A1515010147);Changsha science and technology bureau(No.kh2301001);The fourth author also greatly thanks for the support from King Abdullah University of Science and Technology(KAUST)through the grants BAS/1/1351-01 and URF/1/4074-01.
The industry-standard constrained pressure residual(CPR)algorithm is often able to effectively improve the robustness behavior and the convergence speed of linear iterations for isothermal reservoir simulation.In this...
关键词：Thermal reservoir simulation porous media PRECONDITIONING restricted additive Schwarz algorithm strong and weak scalability 
Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions被引量：1
《Communications in Computational Physics》2022年第8期829-849,共21页Xiaoqiang Yue Jianmeng He Xiaowen Xu Shi Shu Libo Wang 
financially supported by Hunan National Applied Mathematics Center(2020ZYT003);National Natural Science Foundation of China(11971414,62102167);Research Foundation of Education Bureau of Hunan(21B0162);Guangdong Basic and Applied Basic Research Foundation(2020A1515110364).
We concentrate on the parallel,fully coupled and fully implicit solution of the sequence of 3-by-3 block-structured linear systems arising from the symmetrypreserving finite volume element discretization of the unstea...
关键词：Radiation diffusion equations Schwarz methods algebraic multigrid parallel and distributed computing 
p-Multilevel Preconditioners for HHO Discretizations of the Stokes Equations with Static Condensation
《Communications on Applied Mathematics and Computation》2022年第3期783-822,共40页Lorenzo Botti Daniele A.Di Pietro 
Daniele Di Pietro acknowledges the support of Agence Nationale de la Recherche Grant fast4hho(ANR-17-CE23-0019).
We propose a p-multilevel preconditioner for hybrid high-order(HHO)discretizations of the Stokes equation,numerically assess its performance on two variants of the method,and compare with a classical discontinuous Gal...
关键词：Stokes equations Divergence free constraint Hybrid high-order Discontinuous Galerkin P-MULTIGRID Static condensation 
Uniform Subspace Correction Preconditioners for Discontinuous Galerkin Methods with hp‑Refnement
《Communications on Applied Mathematics and Computation》2022年第2期697-727,共31页Will Pazner Tzanio Kolev 
This work was performed under the auspices of the U.S.Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344 and was partially supported by the LLNL-LDRD Program under Project No.20-ERD-002(LLNL-JRNL-814157).
In this paper,we develop subspace correction preconditioners for discontinuous Galerkin(DG)discretizations of elliptic problems with hp-refnement.These preconditioners are based on the decomposition of the DG fnite el...
关键词：Discontinuous Galerkin PRECONDITIONERS Domain decomposition hprefnement 
ITERATIVE ILU PRECONDITIONERS FOR LINEAR SYSTEMS AND EIGENPROBLEMS
《Journal of Computational Mathematics》2021年第4期633-654,共22页Daniele Boffi Zhongjie Lu Luca F.Pavarino 
The authors are members of the INdAM Research group GNCS and their research is partially supported by IMATI/CNR,by PRIN/MIUR and the Dipartimenti di Eccellenza Program 2018-22-Dept,of Mathematics,University of Pavia.
Iterative ILU factorizations are constructed,analyzed and applied as preconditioners to solve both linear systems and eigenproblems.The computational kernels of these novel Iterative ILU factorizations are sparse matr...
关键词：Iterative ILU factorization Matrix-matrix multiplication Fill-in Eigenvalue problem Parallel preconditioner 
A Class of Preconditioners Based on Positive-Definite Operator Splitting Iteration Methods for Variable-Coefficient Space-Fractional Diffusion Equations
《Communications on Applied Mathematics and Computation》2021年第1期157-176,共20页Jun-Feng Yin Yi-Shu Du 
This work was supported by the National Natural Science Foundation of China(No.11971354);The author Yi-Shu Du acknowledges the financial support from the China Scholarship Council(File No.201906260146).
After discretization by the finite volume method,the numerical solution of fractional diffusion equations leads to a linear system with the Toeplitz-like structure.The theoretical analysis gives sufficient conditions ...
关键词：Fractional diffusion equations Finite volume method Operator splitting Positive-definite 
Explicit Iterative Methods of Second Order and Approximate Inverse Preconditioners for Solving Complex Computational Problems
《Applied Mathematics》2020年第4期307-327,共21页Anastasia-Dimitra Lipitakis 
Explicit Exact and Approximate Inverse Preconditioners for solving complex linear systems are introduced. A class of general iterative methods of second order is presented and the selection of iterative parameters is ...
关键词：APPROXIMATE INVERSE PRECONDITIONERS ITERATIVE METHODS Second Order ITERATIVE Schemes Exact INVERSE METHODS APPROXIMATE INVERSE EXPLICIT Preconditioning Conjugate Gradients Convergence Analysis 
Domain Decomposition Preconditioners for Mixed Finite-Element Discretization of High-Contrast Elliptic Problems
《Communications on Applied Mathematics and Computation》2019年第1期141-165,共25页Hui Xie Xuejun Xu 
In this paper,we design an efficient domain decomposition(DD)preconditioner for the saddle-point problem resulting from the mixed finite-element discretization of multiscale elliptic problems.By proper equivalent alge...
关键词：High contrast.Mixed FEM DD PRECONDITIONER Spectral coarse space 
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