Results 31 to 40 of about 12,853 (184)
A Direct Elliptic Solver Based on Hierarchically Low-rank Schur Complements
, 2016 A parallel fast direct solver for rank-compressible block tridiagonal linear systems is presented. Algorithmic synergies between Cyclic Reduction and Hierarchical matrix arithmetic operations result in a solver with $O(N \log^2 N)$ arithmetic complexity ...
A. Aminfar +13 more
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Preconditioning for Allen-Cahn variational inequalities with non-local constraints [PDF]
, 2010 The solution of Allen-Cahn variational inequalities with mass constraints is of interest in many applications. This problem can be solved both in its scalar and vector-valued form as a PDE-constrained optimization problem by means of a primal-dual active
Blank, Luise +2 more
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Combined Preconditioning with Applications in Reservoir Simulation
, 2013 We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: (1) a norm-convergent iterative method (i.e. smoother) and (2) a preconditioner. The resulting
Hu, Xiaozhe +6 more
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Algebraic Multigrid Preconditioning for Iterative Eigensolvers [PDF]
Archives of Transport, 2008 AbstractThe objective is a comparative study of iterative solvers for eigenproblems arising from elliptic and self–adjoint partial differential operators. Typically only a few of the smallest eigenvalues of these problems are to be computed.
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Algebraic multigrid preconditioners for two-phase flow in porous media with phase transitions
, 2018 Multiphase flow is a critical process in a wide range of applications, including oil and gas recovery, carbon sequestration, and contaminant remediation.
Bui, Quan M. +2 more
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Coarsening Strategies for Unstructured Multigrid Techniques with Application to Anisotropic Problems [PDF]
, 1998 Over the years, multigrid has been demonstrated as an efficient technique for solving inviscid flow problems. However, for viscous flows, convergence rates often degrade.
Mavriplis, D. J. +2 more
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Multigrid Methods for Space Fractional Partial Differential Equations
, 2015 We propose some multigrid methods for solving the algebraic systems resulting from finite element approximations of space fractional partial differential equations (SFPDEs).
Jiang, Yingjun, Xu, Xuejun
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Моделирование и анализ информационных систем, 2017 In the work, we consider the problem of accelerating the iteration process of the numerical solution of boundary-value problems for partial differential equations (PDE) by the method of collocations and least residuals (CLR). To solve this problem, it is
Vasily P. Shapeev, Evgenii V. Vorozhtsov
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A hybrid interface preconditioner for monolithic fluid–structure interaction solvers
Advanced Modeling and Simulation in Engineering Sciences, 2020 We propose a hybrid interface preconditioner for the monolithic solution of surface-coupled problems. Powerful preconditioning techniques are crucial when it comes to solving large monolithic systems of linear equations efficiently, especially when ...
Matthias Mayr +2 more
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Algebraic Multigrid for Markov Chains [PDF]
SIAM Journal on Scientific Computing, 2010 An algebraic multigrid (AMG) method is presented for the calculation of the stationary probability vector of an irreducible Markov chain. The method is based on standard AMG for nonsingular linear systems, but in a multiplicative, adaptive setting. A modified AMG interpolation formula is proposed that produces a nonnegative interpolation operator with ...
H. De Sterck +5 more
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