Results 41 to 50 of about 3,479 (214)
GMRES and Weighted GMRES for solving nonsymmetric linear systems [PDF]
, 2016 The Implementation and some mathematical properties of GMRES and weighted GMRES (WGMRES) are described. Numerical experiments originally performed by Essai (1998) are performed to compare the two methods.
Kratz, Gustav
core
SICE Journal of Control, Measurement, and System Integration, 2019 We consider solving a large-scale Lyapunov equation for a multi-agent system. As is well known, the Lyapunov equation can be solved by equivalently rewriting it as a system of linear equations.
Asuka Ohashi, Kiyotsugu Takaba
doaj +1 more source
An Electric Field Volume Integral Equation Approach to Simulate Surface Plasmon Polaritons
Advanced Electromagnetics, 2013 In this paper we present an electric field volume integral equation approach to simulate surface plasmon propagation along metal/dielectric interfaces. Metallic objects embedded in homogeneous dielectric media are considered.
R. Remis, E. Charbon
doaj +1 more source
Geometry Analysis of Two Photon Polymerized Microneedles—An Experimental and Simulated Approach
Journal of Applied Polymer Science, Volume 143, Issue 22, June 10, 2026.This research investigates the mechanical stability of hollow, two‐photon‐polymerized microneedles for drug delivery. In an experimental setup, a steel stamp gradually compresses 1000 μm‐tall microneedles while recording their force–deformation response.
Cordelia F. Wittemann +4 more
wiley +1 more source
Computable Convergence Bounds for GMRES [PDF]
SIAM Journal on Matrix Analysis and Applications, 2000 The purpose of this paper is to derive new computable convergence bounds for GMRES. The new bounds depend on the initial guess and are thus conceptually different from standard "worst-case" bounds. Most importantly, approximations to the new bounds can be computed from information generated during the run of a certain GMRES implementation.
openaire +3 more sources
Coupled Clustering in Hierarchical Matrices for the Oseen Problem
International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 751-765, June 2026.Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley +1 more source
On the regularizing properties of the GMRES method [PDF]
Numerische Mathematik, 2002 The generalized minimal residual (GMRES) method equipped with a stopping criterion based on the discrepancy principle is used to solve nonsymmetric nonsingular ill-posed problems with a right-hand side contaminated with errors. When the inverse operator \(A^{-1}\) of the linear system \(Ax=b\) is not bounded and the exact right-hand side \(b\) is not ...
Daniela Calvetti +2 more
openaire +1 more source
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
doaj +1 more source
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
doaj +1 more source
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio +1 more
wiley +1 more source