Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Manteuffel, Thomas A."'
The standard goal for an effective algebraic multigrid (AMG) algorithm is to develop relaxation and coarse-grid correction schemes that attenuate complementary error modes. In the nonsymmetric setting, coarse-grid correction $\Pi$ will almost certain
Externí odkaz:
http://arxiv.org/abs/2307.05900
Publikováno v:
Numer Linear Algebra with Applications 2018;25(3):e2150
In this paper, a few dual least-squares finite element methods and their application to scalar linear hyperbolic problems are studied. The purpose is to obtain $L^2$-norm approximations on finite element spaces of the exact solutions to hyperbolic pa
Externí odkaz:
http://arxiv.org/abs/2004.12487
Publikováno v:
Numerical Methods for Partial Differential Equations 2020;36(6):1418-1445
In this paper, a least-squares finite element method for scalar nonlinear hyperbolic balance laws is proposed and studied. The approach is based on a formulation that utilizes an appropriate Helmholtz decomposition of the flux vector and is related t
Externí odkaz:
http://arxiv.org/abs/1911.05831
Algebraic multigrid (AMG) is one of the fastest numerical methods for solving large sparse linear systems. For SPD matrices, convergence of AMG is well motivated in the $A$-norm, and AMG has proven to be an effective solver for many applications. Rec
Externí odkaz:
http://arxiv.org/abs/1806.04274
Algebraic multigrid (AMG) solvers and preconditioners are some of the fastest numerical methods to solve linear systems, particularly in a parallel environment, scaling to hundreds of thousands of cores. Most AMG methods and theory assume a symmetric
Externí odkaz:
http://arxiv.org/abs/1708.06065
Algebraic multigrid (AMG) is often an effective solver for symmetric positive definite (SPD) linear systems resulting from the discretization of general elliptic PDEs, or the spatial discretization of parabolic PDEs. However, convergence theory and m
Externí odkaz:
http://arxiv.org/abs/1704.05001
Autor:
SOUTHWORTH, BEN S.1 southworth@lanl.gov, MANTEUFFEL, THOMAS A.2 tmanteuf@colorado.edu
Publikováno v:
SIAM Journal on Matrix Analysis & Applications. 2024, Vol. 45 Issue 3, p1245-1258. 14p.
This paper provides a unified and detailed presentation of root-node style algebraic multigrid (AMG). Algebraic multigrid is a popular and effective iterative method for solving large, sparse linear systems that arise from discretizing partial differ
Externí odkaz:
http://arxiv.org/abs/1610.03154
Publikováno v:
SIAM Journal on Numerical Analysis, 2006 Jan 01. 43(1), 386-408.
Externí odkaz:
https://www.jstor.org/stable/4101267
Publikováno v:
SIAM Journal on Numerical Analysis, 2001 Jan 01. 38(5), 1454-1482.
Externí odkaz:
https://www.jstor.org/stable/3062043