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math.NA2020★ 2 cited
Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach
Chenghua Duan, Wenbin Chen, Chun Liu +2
In this work, we develop novel structure-preserving numerical schemes for a class of nonlinear Fokker--Planck equations with nonlocal interactions. Such equations can cover many ca…
math.NA2020★ 1 cited
A second order accurate numerical scheme for the porous medium equation by an energetic variational approach
Chenghua Duan, Wenbin Chen, Chun Liu +2
The porous medium equation (PME) is a typical nonlinear degenerate parabolic equation. An energetic variational approach has been studied in a recent work [6], in which the traject…
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…