Numerical solution of saddle point problems
M Benzi, GH Golub, J Liesen - Acta numerica, 2005 - cambridge.org
Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …
computational science and engineering. Due to their indefiniteness and often poor spectral …
On parameterized inexact Uzawa methods for generalized saddle point problems
ZZ Bai, ZQ Wang - Linear Algebra and its Applications, 2008 - Elsevier
For the large sparse saddle point problems, Bai et al. recently studied a class of
parameterized inexact Uzawa (PIU) methods [Z.-Z. Bai, BN Parlett, Z.-Q. Wang. On …
parameterized inexact Uzawa (PIU) methods [Z.-Z. Bai, BN Parlett, Z.-Q. Wang. On …
Alternate minimization gradient method
It is well known that the minimization of a smooth function f (x) is equivalent to minimizing its
gradient norm‖ g (x)‖ 2 in some sense. In this paper, we propose a modified steepest …
gradient norm‖ g (x)‖ 2 in some sense. In this paper, we propose a modified steepest …
[图书][B] Finite element analysis: thermomechanics of solids
DW Nicholson - 2008 - api.taylorfrancis.com
Explore a Unified Treatment of the Finite Element Method The finite element method has
matured to the point that it can accurately and reliably be used, by a careful analyst, for an …
matured to the point that it can accurately and reliably be used, by a careful analyst, for an …
On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems
NN Wang, JC Li - Journal of Computational and Applied Mathematics, 2022 - Elsevier
In this paper, we consider some preconditioning techniques for a class of block three-by-
three saddle point problems, which arise from a coupled diffuse element-finite element …
three saddle point problems, which arise from a coupled diffuse element-finite element …
[HTML][HTML] Semi-convergence analysis of Uzawa methods for singular saddle point problems
Abstract Recently, Zheng, Bai and Yang studied the parameterized Uzawa method for
solving singular saddle point problems (B. Zheng, Z.-Z. Bai, X. Yang, On semi-convergence …
solving singular saddle point problems (B. Zheng, Z.-Z. Bai, X. Yang, On semi-convergence …
A Duality-Based Splitting Method for - Image Restoration with Automatic Regularization Parameter Choice
A novel splitting method is presented for the ℓ^1-TV restoration of degraded images subject
to impulsive noise. The functional is split into an ℓ^2-TV denoising part and an ℓ^1-ℓ^2 …
to impulsive noise. The functional is split into an ℓ^2-TV denoising part and an ℓ^1-ℓ^2 …
A mortar element method for elliptic problems with discontinuous coefficients
J Huang, J Zou - IMA Journal of Numerical Analysis, 2002 - ieeexplore.ieee.org
This paper proposes a mortar finite element method for solving the two‐dimensional second‐
order elliptic problem with jumps in coefficients across the interface between two …
order elliptic problem with jumps in coefficients across the interface between two …
A splitting preconditioner for saddle point problems
For large sparse systems of linear equations iterative techniques are attractive. In this paper,
we study a splitting method for an important class of symmetric and indefinite system …
we study a splitting method for an important class of symmetric and indefinite system …
Interface modeling in incompressible media using level sets in Escript
L Gross, L Bourgouin, AJ Hale, HB Mühlhaus - Physics of the Earth and …, 2007 - Elsevier
We use a finite element (FEM) formulation of the level set method to model geological fluid
flow problems involving interface propagation. Interface problems are ubiquitous in …
flow problems involving interface propagation. Interface problems are ubiquitous in …