Results 31 to 40 of about 59,261 (316)
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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ILU preconditioning based on the FAPINV algorithm [PDF]
Opuscula Mathematica, 2015 A technique for computing an ILU preconditioner based on the factored approximate inverse (FAPINV) algorithm is presented. We show that this algorithm is well-defined for H-matrices.
Davod Khojasteh Salkuyeh +2 more
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Development of a Scalable Thermal Reservoir Simulator on Distributed-Memory Parallel Computers
Fluids, 2021 Reservoir simulation is to solve a set of fluid flow equations through porous media, which are partial differential equations from the petroleum engineering industry and described by Darcy’s law.
Hui Liu +3 more
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Mixed-Dimensional Auxiliary Space Preconditioners [PDF]
SIAM Journal on Scientific Computing, 2020 This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this setting. With the use of conforming mixed finite element spaces, we then expand these results to the discrete case and obtain a ...
Budisa, Ana, Boon, Wietse, Hu, Xiaozhe
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Electronic Research Archive, 2023 For solving the linear complementarity problem (LCP), we propose a preconditioned new modulus-based matrix splitting (PNMMS) iteration method by extending the state-of-the-art new modulus-based matrix splitting (NMMS) iteration method to a more general ...
Dongmei Yu, Yifei Yuan, Yiming Zhang
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Modified DTS Iteration Methods for Spatial Fractional Diffusion Equations
Mathematics, 2023 For the discretized linear systems of the spatial fractional diffusion equations, we construct a class of a modified DTS iteration method and give its asymptotic convergence conditions.
Xin-Hui Shao, Chong-Bo Kang
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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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Journal of Applied Mathematics, 2012 We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the ...
Jia Liu
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, 2015 We propose and analyze an overlapping Schwarz preconditioner for the $p$ and $hp$ boundary element method for the hypersingular integral equation in 3D. We consider surface triangulations consisting of triangles. The condition number is bounded uniformly
Führer, Thomas +3 more
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Condition number analysis and preconditioning of the finite cell method [PDF]
, 2016 The (Isogeometric) Finite Cell Method - in which a domain is immersed in a structured background mesh - suffers from conditioning problems when cells with small volume fractions occur.
de Prenter, F. +3 more
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