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20182020
most citedConvergence Analysis of Penalty Based Numerical Methods for Constrained Inequality Problems

8 citations · 8 across the 5 of their papers we have counts for

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math.NA2020

A projected gradient method for sparsity regularization

Liang Ding, Weimin Han

The non-convex regularization has attracted attention in the field of sparse recovery. One way to obtain a minimizer of th…

math.NA2020

sparsity regularization for nonlinear ill-posed problems

Liang Ding, Weimin Han

In this paper, we consider the sparsity regularization with parameter for nonlinear ill-posed inverse problems. We investi…

math.NA2020

Numerical Analysis of History-dependent Variational-hemivariational Inequalities

Shufen Wang, Wei Xu, Weimin Han +1

In this paper, numerical analysis is carried out for a class of history-dependent variational-hemivariational inequalities arising in contact problems. Three different numerical tr…

math.NA2020

Solving Quasistatic Contact Problems Using Nonsmooth Optimization Approach

Michal Jureczka, Anna Ochal, Weimin Han

This paper is devoted to a study of time-dependent hemivariational inequality. We prove existence and uniqueness of its solution, provide fully discrete scheme and reformulate this…

math.NA2019

Numerical Studies of a Hemivariational Inequality for a Viscoelastic Contact Problem with Damage

Weimin Han, Michal Jureczka, Anna Ochal

This paper is devoted to the study of a hemivariational inequality modeling the quasistatic bilateral frictional contact between a viscoelastic body and a rigid foundation. The dam…

math.NA20198 cited

Convergence Analysis of Penalty Based Numerical Methods for Constrained Inequality Problems

Weimin Han, Mircea Sofonea

This paper presents a general convergence theory of penalty based numerical methods for elliptic constrained inequality problems, including variational inequalities, hemivariationa…