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Efficient preconditioning strategies for accelerating GMRES in block-structured nonlinear systems for image deblurring. [PDF]
PLoS ONEWe propose an efficient preconditioning strategy to accelerate the convergence of Krylov subspace methods, specifically for solving complex nonlinear systems with a block five-by-five structure, commonly found in cell-centered finite difference ...
Rizwan Khalid +4 more
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Electrocardiographic Imaging: A Comparison of Iterative Solvers [PDF]
Frontiers in Physiology, 2021 Cardiac disease is a leading cause of morbidity and mortality in developed countries. Currently, non-invasive techniques that can identify patients at risk and provide accurate diagnosis and ablation guidance therapy are under development.
Marta Borràs, Judit Chamorro-Servent
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An efficient iterative method for solving large linear systems [PDF]
Journal of Hyperstructures, 2020 This paper presents a new powerful iterative method for solving large and sparse linear systems. Using the idea of theJaya method to the restarted generalized minimum residual (GMRES) method, we propose the Jaya-GMRES method.The JayaGMRES is an efficient
Ali Jamalian, Hossein Aminikhah
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Fluids, 2021 Newton’s method has been widely used in simulation multiphase, multicomponent flow in porous media. In addition, to solve systems of linear equations in such problems, the generalized minimal residual method (GMRES) is often used. This paper analyzed the
Timur Imankulov +4 more
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Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification [PDF]
, 2021 This paper analyses the following question: let $\mathbf{A}_j$, $j=1,2,$ be the Galerkin matrices corresponding to finite-element discretisations of the exterior Dirichlet problem for the heterogeneous Helmholtz equations $\nabla\cdot (A_j \nabla u_j ...
Graham, Ivan G. +2 more
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Adaptive GMRES(m) for the Electromagnetic Scattering Problem
Trends in Computational and Applied Mathematics, 2020 In this article, an adaptive version of the restarted GMRES (GMRES(m)) is introduced for the resolution of the finite difference approximation of the Helmholtz equation. It has been observed that the choice of the restart parameter m strongly affects the
Gustavo Espínola +2 more
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Fractal and Fractional, 2023 The major goal of this work is to present a novel fractional temperature-dependent boundary element model (BEM) for solving thermoelastic wave propagation problems in smart nanomaterials.
Mohamed Abdelsabour Fahmy
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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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A Simpler GMRES Method for Oscillatory Integrals with Irregular Oscillations
Advances in Mathematical Physics, 2015 A simpler GMRES method for computing oscillatory integral is presented. Theoretical analysis shows that this method is mathematically equivalent to the GMRES method proposed by Olver (2009).
Qinghua Wu, Meiying Xiang
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Cogent Engineering, 2020 This article considered the numerical simulation of multicomponent multiphase flow in porous media. The resulting system of nonlinear equations linearized by the Newton-Raphson method and solved with the iterative Generalized minimal residual method ...
Saltanbek T. Mukhambetzhanov +5 more
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