On the spectrum of stiffness matrices arising from isogeometric analysis
We study the spectral properties of stiffness matrices that arise in the context of isogeometric
analysis for the numerical solution of classical second order elliptic problems. Motivated by …
analysis for the numerical solution of classical second order elliptic problems. Motivated by …
[HTML][HTML] On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations
QQ Zheng, CF Ma - Journal of computational and applied mathematics, 2014 - Elsevier
This paper is concerned with some generalizations of the Hermitian and skew-Hermitian
splitting (HSS) iteration for solving continuous Sylvester equations. The main contents we …
splitting (HSS) iteration for solving continuous Sylvester equations. The main contents we …
Modified HSS iteration methods for a class of non-Hermitian positive-definite linear systems
XX Guo, S Wang - Applied Mathematics and Computation, 2012 - Elsevier
We consider the numerical solution of a class of non-Hermitian positive-definite linear
systems by the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method …
systems by the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method …
Spectral analysis and preconditioning techniques for radial basis function collocation matrices
Meshless collocation methods based on radial basis functions lead to structured linear
systems, which, for equispaced grid points, have almost a multilevel Toeplitz structure. In …
systems, which, for equispaced grid points, have almost a multilevel Toeplitz structure. In …
Convergence analysis of HSS-multigrid methods for second-order nonselfadjoint elliptic problems
S Li, Z Huang - BIT Numerical Mathematics, 2013 - Springer
In this paper, the multigrid methods using Hermitian/skew-Hermitian splitting (HSS) iteration
as smoothers are investigated. These smoothers also include the modified additive and …
as smoothers are investigated. These smoothers also include the modified additive and …
Quasi‐optimal preconditioners for finite element approximations of diffusion dominated convection–diffusion equations on (nearly) equilateral triangle meshes
A Russo, S Serra‐Capizzano… - … Linear Algebra with …, 2015 - Wiley Online Library
The paper is devoted to the spectral analysis of effective preconditioners for linear systems
obtained via a finite element approximation to diffusion‐dominated convection–diffusion …
obtained via a finite element approximation to diffusion‐dominated convection–diffusion …
[PDF][PDF] Carlo Garoni, Carla Manni, Francesca Pelosi, Stefano Serra-Capizzano &
H Speleers - Numer. Math, 2014 - mat.uniroma2.it
We study the spectral properties of stiffness matrices that arise in the context of isogeometric
analysis for the numerical solution of classical second order elliptic problems. Motivated by …
analysis for the numerical solution of classical second order elliptic problems. Motivated by …
Optimal Preconditioners for Finite Element Approximations of Convection-Diffusion Equations on structured meshes
The paper is devoted to the spectral analysis of effective preconditioners for linear systems
obtained via a Finite Element approximation to diffusion-dominated convection-diffusion …
obtained via a Finite Element approximation to diffusion-dominated convection-diffusion …