Results 81 to 90 of about 3,479 (214)
Local continuum consistent peridynamics with bond‐associated modeling and dynamic fracture
GAMM-Mitteilungen, Volume 49, Issue 1-2, March/June 2026.Abstract This paper explores the theoretical foundations and practical challenges of peridynamics as a nonlocal continuum mechanics method. We establish connections between classical continuum mechanics principles and peridynamics formulations, with a particular focus on understanding how the pairwise force function in peridynamics relates to stress ...
Kai Partmann +3 more
wiley +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
O método de Newton inexato aplicado às equações de Navier-Stokes: Hilbeth Parente de Deus ; orientador, Mário César Zambaldi [PDF]
, 2004 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-Graduação em Matemática e Computação CientíficaO trabalho aqui presente destina-se a fazer uma análise comparativa, no contexo do ...
Deus, Hilbeth Parente de
core
EngIn this work, we proposed a dynamic inverse solution with spatio-temporal constraints of the nonlinear heat diffusion problem in 1D and 2D based on a regularized Gauss–Newton and Krylov subspace with a preconditioner.
Luis Fernando Alvarez-Velasquez +1 more
doaj +1 more source
Journal of Applied Mathematics, 2014 Continuing from the works of Li et al. (2014), Li (2007), and Kincaid et al. (2000), we present more generalizations and modifications of iterative methods for solving large sparse symmetric and nonsymmetric indefinite systems of linear equations.
Jen-Yuan Chen +2 more
doaj +1 more source
Notes on GMRES Algorithm Organization
, 2005 The Generalized Minimum Residual (GMRES) iterative method and variations of it are frequently used for solving systems of linear equations of the form Ax = b, where A is a large sparse nonsingular nonsymmetric matrix.
Richard J. Hanson, David R. Kincaid
core
پژوهشهای ریاضی, 2019 Introduction Fractional differential equations (FDEs) have attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc.
, , ,
doaj
Low synchronization GMRES algorithms
CoRR, 2018 Communication-avoiding and pipelined variants of Krylov solvers are critical for the scalability of linear system solvers on future exascale architectures. We present low synchronization variants of iterated classical (CGS) and modified Gram-Schmidt (MGS) algorithms that require one and two global reduction communication steps.
Kasia Swirydowicz +4 more
openaire +2 more sources
Computable convergence bounds for GMRES
, 1998 The main purpose of this paper is the derivation of computable bounds on the residual norms of (full) GMRES. The new bounds depend on the initial guess and thus are conceptually different from standard 'worst-case' bounds. The analysis is valid
Jörg Liesen
core
, 2008 GMRES 方法是求解大规模非对称稀疏线性方程组最常用的方法, 实际应用中存在着许多对标准GMRES 进行 改进的算法, 比如Simpler GMRES 和Weighted GMRES. Simpler GMRES 通过改进GMRES 中基的生成过程来减小计 算量, 同时保持较好的收敛性, Weig hted GMRES 是采用加权技术来加快GMRES 方法的收敛速度, 但是增加了计算量. 本文提出了一种新称为Weighted Simpler GM RES 的方法, 它以Simpler GMRES
卢琳璋, 杨圣炜
core