activity
20182021
most citedSome continuous and discontinuous Galerkin methods and structure preservation for incompressible flows

5 citations · 5 across the 1 of their papers we have counts for

collaborators

11 papers

math.NA2021

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…

math.NA20215 cited

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…

math.NA2020

Fast auxiliary space preconditioners on surfaces

Yuwen Li

This work presents uniform preconditioners for the discrete Laplace--Beltrami operator on hypersurfaces. In particular, within the framework of fast auxiliary space preconditioning…

math.NA2020

A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier--Stokes equation

Xi Chen, Yuwen Li, Corina Drapaca +1

In this paper, we propose a unified numerical framework for the time-dependent incompressible Navier--Stokes equation which yields the -, -conforming, and disco…

math.NA2020

A posteriori error estimates of finite element methods by preconditioning

Yuwen Li, Ludmil Zikatanov

We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods…

math.NA2019

Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model

Yuwen Li, Ludmil T. Zikatanov

We present residual-based a posteriori error estimates of mixed finite element methods for the three-field formulation of Biot's consolidation model. The error estimator is an uppe…