Results 41 to 50 of about 753 (179)
Multilevel acceleration of scattering-source iterations with application to electron transport
Nuclear Engineering and Technology, 2017 Acceleration/preconditioning strategies available in the SCEPTRE radiation transport code are described. A flexible transport synthetic acceleration (TSA) algorithm that uses a low-order discrete-ordinates (SN) or spherical-harmonics (PN) solve to ...
Clif Drumm, Wesley Fan
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Preconditioning GMRES for discontinuous Galerkin approximations
Computer Assisted Methods in Engineering and Science, 2023 The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
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Um Esquema GMRES Precondicionado para Simulação de Reservatórios
Trends in Computational and Applied Mathematics, 2002 Descrevemos um método GMRES precondicionado para a resolução de sistemas lineares que aparecem em Simulação de Reservatórios de Petróleo. Três esquemas de precondicionamento são propostos.
L.M. CARVALHO +3 more
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Trends in Computational and Applied Mathematics, 2022 Neste artigo o método multigrid algébrico baseado em agregação suavizada, o método clássico de Ruge-Stüben e o método GMRES pré-condicionado por multigrid algébrico foram utilizados para a solução da equação do fluxo livre estacionário em domínio ...
J. P. M. dos Santos +3 more
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Subspace Acceleration for Efficient Nonlinear Water Wave Simulation
International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1165-1180, October 2026.We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen +3 more
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Mathematical Modelling and Analysis, 1999 The implementation of a modern preconditioned Newton‐Krylov solvers to the polymer melt flow in injection molding is the main focus of this paper. The viscoelastic and non‐isothermal characteristics of the transient polymer flow is simulated numerically ...
U. Türk, A. Ecder
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Polynomial Preconditioning for Indefinite Matrices
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
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Frontiers in Built Environment, 2018 In this paper a parallel iterative solver based on the Generalized Minimum Residual Method (GMRES) with complex-valued coefficients is explored, with applications to the Boundary Element Method (BEM).
Jorge Molina-Moya +2 more
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SoftwareX, 2022 This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve parametrized partial differential equations (PDEs).
Jordi Vila-Pérez +3 more
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Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi +3 more
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