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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 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 …