Results 61 to 70 of about 733 (176)
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
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
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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
Generating Approximate Inverse Preconditioners for Sparse Matrices Using CUDA and GPGPU
Journal of Algorithms & Computational Technology, 2011 The problem of numerical solution of sparse matrix-based linear systems arises from many scientific applications. Iterative solvers and corresponding preconditioning techniques are usually adopted.
Shiming Xu +3 more
doaj +1 more source
An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
Um Método Newton-Inexato com Estratégia Híbrida para Globalização
Trends in Computational and Applied Mathematics, 2008 Neste trabalho, o objetivo é propor um algoritmo Newton-inexato com propriedade de convergência global para resolução de sistemas não-lineares. Para a globalização, propomos uma abordagem híbrida, envolvendo, além de busca linear,o método de regiões de ...
R.G. Begiato, M.A. Gomes Ruggiero
doaj +1 more source
Gram Decay and Intrinsic Dimensions of Krylov Subspaces
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
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Solution of Linear Systems by GMRES Method on Global Computing Platform
Journal of Algorithms & Computational Technology, 2007 By making use of a very large amount of unexploited computing resources, grid computing achieves high throughput computing. We present a classical parallel method GMRES (m) to solve large sparse linear systems utilizing a lightweight GRID system XtremWeb.
Haiwu He +3 more
doaj +1 more source
GMRES on singular systems revisited
CoRR, 2020 In [Hayami K, Sugihara M. Numer Linear Algebra Appl. 2011; 18:449--469], the authors analyzed the convergence behaviour of the Generalized Minimal Residual (GMRES) method for the least squares problem $ \min_{ {\bf x} \in {\bf R}^n} {\| {\bf b} - A {\bf x} \|_2}^2$, where $ A \in {\bf R}^{n \times n}$ may be singular and $ {\bf b} \in {\bf R}^n$, by ...
Ken Hayami, Kota Sugihara
openaire +2 more sources
Iterative Krylov Subspace Methods for Linear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT In this work, we present a structure‐preserving Krylov subspace iteration scheme for solving the equation systems that arise from the Gauss integration of linear energy‐conserving and dissipative differential systems (e.g., Poisson systems, gradient systems, and port‐Hamiltonian systems).
Stefan Maier, Nicole Marheineke
wiley +1 more source