15 citations · 24 across the 5 of their papers we have counts for
5 papers
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…
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…
Versatile Mixed Methods for Non-Isothermal Incompressible Flows
Edward A. Miller, Xi Chen, David M. Williams
The purpose of this paper is to extend the versatile mixed methods originally developed by Chen and Williams for isothermal flows in "Versatile Mixed Methods for the Incompressible…
Versatile Mixed Methods for the Incompressible Navier-Stokes Equations
Xi Chen, David M. Williams
In the spirit of the "Principle of Equipresence" introduced by Truesdell & Toupin, The Classical Field Theories (1960), we use the full version of the viscous stress tensor which w…
Superconvergent pseudostress-velocity finite element methods for the Oseen and Navier-Stokes equations
Xi Chen, Yuwen Li
We present a priori and superconvergence error estimates of mixed finite element methods for the pseudostress-velocity formulation of the Oseen equation. In particular, we derive s…