Results 51 to 60 of about 1,981 (210)
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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A Comparison of Coupling Strategies for 1D–3D Simulations of Coronary Hemodynamics
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 12, December 2025.Various 1D–3D coupling strategies combining a one‐dimensional (1D) pulse wave propagation model with three‐dimensional (3D) computational fluid dynamics (CFD) were evaluated for numerous types of complex synthetic coronary lesion geometries. Steady‐state simulations driven by mean flow showed no discrepancy with transient simulations in predicting ...
P. L. J. Hilhorst +6 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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An efficient algorithm based on the multi-wavelet Galerkin method for telegraph equation
AIMS Mathematics, 2021 We employ the multi-wavelet Galerkin method for the numerical solution of the telegraph equation with initial and boundary conditions. The problem becomes a sparse system of linear equations and the GMRES method is used to solve this system.
Haifa Bin Jebreen +2 more
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Breakdown-free GMRES for Singular Systems [PDF]
SIAM Journal on Matrix Analysis and Applications, 2005 The generalized minimal residual (GMRES) method is based on the Arnoldi process, which may suffer from benign or hard breakdown. First the authors investigate in which space the solution of the system (or the least squares solution in the case of an inconsistent system) \(Ax=b\) can be found.
Reichel, Lothar, Ye, Qiang
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International Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1609-1622, December 2025.In this paper, we consider the concept of discretely divergence‐free finite elements (DDFFE) based on the Rannacher–Turek finite element pair to efficiently solve the three‐dimensional incompressible Navier–Stokes equations. For this purpose, we first define a spanning set of DDFFE functions and then characterize a set of basis functions for arbitrary ...
Christoph Lohmann
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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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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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Stabilizing randomized GMRES through flexible GMRES
We explore the use of flexible GMRES as an outer wrapper for sketched GMRES. Building on a new bound for the residual of FGMRES in terms of the residual of the preconditioner, we derive a practical randomized solver that requires very little parameter tuning, while still being efficient and robust in the sense of generating non-increasing residual ...
Güttel, Stefan, Pearson, John W.
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A Framework for the Solution of Tree‐Coupled Saddle‐Point Systems
Numerical Linear Algebra with Applications, Volume 32, Issue 6, December 2025.ABSTRACT We consider the solution of saddle‐point systems with a tree‐based block structure, introducing a parallelizable direct method for their solution. As our key contribution, we then propose several structure‐exploiting preconditioners to be used during applications of the GMRES algorithm and analyze their properties.
Christoph Hansknecht +3 more
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