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5 papers

math.NA2026

A time-decoupling scheme for mixed-dimensional poroelastic models with fractures

Dongchun Tang, Linshuang He, Shuyu Sun +1

The paper introduces a locking‑free, time‑decoupled finite element method for mixed‑dimensional poroelastic models with fractures, reformulating the Biot system with total pressure…

math.NA2025

Enriched Galerkin Method for Navier-Stokes Equations

Chun Song, Minfu Feng

This paper presents an enriched Galerkin (EG) finite element method for the incompressible Navier--Stokes equations. The method augments continuous piecewise linear velocity spaces…

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

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.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…