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20232025
most citedA Pressure-Stabilized Continuous Data Assimilation Reduced Order Model

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.NA2025

Second-order unconditionally stable time-filtered scheme for Cahn-Hilliard-Navier-Stokes system

Xi Li, Chun Song, Haijun Gao +1

In this work, we introduce the time filtering technique to develop several innovative semi-discrete schemes in time for the Cahn-Hilliard-Navier-Stokes (CHNS) system. These schemes…

math.NA2025

Optimal convergence analysis of fully discrete SAVs-FEM for the Cahn-Hilliard-Navier-Stokes equations

Haijun Gao, Xi Li, Cheng Wang +1

We construct a fully discrete numerical scheme that is linear, decoupled, and unconditionally energy stable, and analyze its optimal error estimates for the Cahn-Hilliard-Navier-St…

math.NA2025

Convergence analysis of decoupled mixed FEM for the Cahn-Hilliard-Navier-Stokes equations

Haijun Gao, Xi Li, Minfu Feng

We develop a decoupled, first-order, fully discrete, energy-stable scheme for the Cahn-Hilliard-Navier-Stokes equations. This scheme calculates the Cahn-Hilliard and Navier-Stokes…

math.NA2024

A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations

Haijun Gao, Xi Li, Minfu Feng

We construct a decoupled, first-order, fully discrete, and unconditionally energy stable scheme for the Cahn-Hilliard-Navier-Stokes equations. The scheme is divided into two main p…

math.NA2023

On the conservation properties of the two-level linearized methods for Navier-Stokes equations

Xi Li, Minfu Feng

This manuscript is devoted to investigating the conservation laws of incompressible Navier-Stokes equations(NSEs), written in the energy-momentum-angular momentum conserving(EMAC)…

math.NA2023★ 1 cited

A Pressure-Stabilized Continuous Data Assimilation Reduced Order Model

Xi Li, Youcai Xu, Minfu Feng

We present a novel reduced-order pressure stabilization strategy based on continuous data assimilation(CDA) for two-dimensional incompressible Navier-Stokes equations. A feedback c…