15 citations · 139 across the 32 of their papers we have counts for
7 papers · 1 filter
New stabilized finite element methods for nearly inviscid and incompressible flows
Yuwen Li, Ludmil Zikatanov
This work proposes a new stabilized finite element method for solving the incompressible Navier--Stokes equations. The numerical scheme is based on a reduced Bernar…
Neural networks with trainable matrix activation functions
Zhengqi Liu, Shuhao Cao, Yuwen Li +1
The training process of neural networks usually optimize weights and bias parameters of linear transformations, while nonlinear activation functions are pre-specified and fixed. Th…
Nodal auxiliary space preconditioning for the surface de Rham complex
Yuwen Li
This work develops optimal preconditioners for the discrete H(curl) and H(div) problems on two-dimensional surfaces by nodal auxiliary space preconditioning [R. Hiptmair, J. Xu: SI…
Coefficient-Robust A Posteriori Error Estimation for H(curl)-elliptic Problems
Yuwen Li
We extend the framework of a posteriori error estimation by preconditioning in [Li, Y., Zikatanov, L.: Computers \& Mathematics with Applications. \textbf{91}, 192-201 (2021)] and…
Recovery-based a posteriori error analysis for plate bending problems
Yuwen Li
We present two new recovery-based a posteriori error estimates for the Hellan--Herrmann--Johnson method in Kirchhoff--Love plate theory. The first error estimator uses a postproces…
Some continuous and discontinuous Galerkin methods and structure preservation for incompressible flows
Xi Chen, Yuwen Li, Corina Drapaca +1
In this paper, we present consistent and inconsistent discontinuous Galerkin methods for incompressible Euler and Navier-Stokes equations with the kinematic pressure, Bernoulli fun…
An Extended Galerkin analysis in finite element exterior calculus
Qingguo Hong, Yuwen Li, Jinchao Xu
For the Hodge--Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods in the extended Galerkin framework. For contrac…