Zobrazeno 1 - 10
of 853
pro vyhledávání: '"65F08"'
Autor:
Boon, Wietse M.
We propose an explicit construction of Poincar\'e operators for the lowest order finite element spaces, by employing spanning trees in the grid. In turn, a stable decomposition of the discrete spaces is derived that leads to an efficient numerical so
Externí odkaz:
http://arxiv.org/abs/2410.08830
Multigrid preconditioners are one of the most powerful techniques for solving large sparse linear systems. In this research, we address Darcy flow problems with random permeability using the conjugate gradient method, enhanced by a two-grid precondit
Externí odkaz:
http://arxiv.org/abs/2410.06832
In recent years, there has been a renewed interest in preconditioning for multilevel Toeplitz systems, a research field that has been extensively explored over the past several decades. This work introduces novel preconditioning strategies using mult
Externí odkaz:
http://arxiv.org/abs/2409.20363
Autor:
Huang, Weizhang, Wang, Zhuoran
This work is concerned with the convergence of the iterative solution for the Stokes flow, discretized with the weak Galerkin finite element method and preconditioned using inexact block Schur complement preconditioning. The resulting saddle point li
Externí odkaz:
http://arxiv.org/abs/2409.16477
Autor:
Chen, Jingrun, Tan, Longze
This paper focuses on solving large-scale, ill-conditioned, and overdetermined sparse least squares problems that arise from numerical partial differential equations (PDEs), mainly from the random feature method. To address these difficulties, we int
Externí odkaz:
http://arxiv.org/abs/2409.15818
In the present study, we consider the Extra-Membrane-Intra model (EMI) for the simulation of excitable tissues at the cellular level. We provide the (possibly large) system of partial differential equations (PDEs), equipped with ad hoc boundary condi
Externí odkaz:
http://arxiv.org/abs/2409.13432
Autor:
Nagy, James G., Onisk, Lucas
This study investigates the iterative refinement method applied to the solution of linear discrete inverse problems by considering its application to the Tikhonov problem in mixed precision. Previous works on mixed precision iterative refinement meth
Externí odkaz:
http://arxiv.org/abs/2409.08335
Autor:
Klawonn, Axel, Lanser, Martin
Nonlinear domain decomposition methods became popular in recent years since they can improve the nonlinear convergence behavior of Newton's method significantly for many complex problems. In this article, a nonlinear two-level Schwarz approach is con
Externí odkaz:
http://arxiv.org/abs/2409.03041
The virtual element method (VEM) is a family of numerical methods to discretize partial differential equations on general polygonal or polyhedral computational grids. However, the resulting linear systems are often ill-conditioned and robust precondi
Externí odkaz:
http://arxiv.org/abs/2409.02860
This work is concerned with the numerical solution of large-scale symmetric positive definite matrix equations of the form $A_1XB_1^\top + A_2XB_2^\top + \dots + A_\ell X B_\ell^\top = F$, as they arise from discretized partial differential equations
Externí odkaz:
http://arxiv.org/abs/2408.16416