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An enriched cut finite element method for Stokes interface equations

https://doi.org/10.1016/j.matcom.2023.12.016

Wang, Kun ; Mu, Lin ( April 2024 , Mathematics and Computers in Simulation)

Free, publicly-accessible full text available April 1, 2025
Pressure-robust enriched Galerkin methods for the Stokes equations

https://doi.org/10.1016/j.cam.2023.115449

Hu, Xiaozhe ; Lee, Seulip ; Mu, Lin ; Yi, Son-Young ( January 2024 , Journal of Computational and Applied Mathematics)

Free, publicly-accessible full text available January 15, 2025
Optimal control of convection-cooling and numerical implementation

https://doi.org/10.1016/j.camwa.2021.03.020

He, Cuiyu ; Hu, Weiwei ; Mu, Lin ( June 2021 , Computers & Mathematics with Applications)
null (Ed.)
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A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes

https://doi.org/10.1137/18M1171515

Bao, Feng ; Mu, Lin ; Wang, Jin ( January 2019 , SIAM Journal on Numerical Analysis)

Full Text Available
An immersed weak Galerkin method for elliptic interface problems

https://doi.org/10.1016/j.cam.2018.08.023

Mu, Lin ; Zhang, Xu ( August 2018 , Journal of Computational and Applied Mathematics)

Full Text Available
Representability of algebraic topology for biomolecules in machine learning based scoring and virtual screening

https://doi.org/10.1371/journal.pcbi.1005929

Cang, Zixuan ; Mu, Lin ; Wei, Guo-Wei ; Peng, Jian ( January 2018 , PLOS Computational Biology)

Full Text Available
Development of a P 2 element with optimal L 2 convergence for biharmonic equation

https://doi.org/10.1002/num.22361

Mu, Lin ; Ye, Xiu ; Zhang, Shangyou ( February 2019 , Numerical Methods for Partial Differential Equations)

It is well known that convergence rate of finite element approximation is suboptimal in theL²norm for solving biharmonic equations whenP₂orQ₂element is used. The goal of this paper is to derive a weak Galerkin (WG)P₂element with theL²optimal convergence rate by assuming the exact solution sufficiently smooth. In addition, our new WG finite element method can be applied to general mesh such as hybrid mesh, polygonal mesh or mesh with hanging node. The numerical experiments have been conducted on different meshes including hybrid meshes with mixed of pentagon and rectangle and mixed of hexagon and triangle.

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