5 papers
A unified analysis of maximum-norm estimates for a class of HDG methods for parabolic problem in polyhedral domains
Huangxin Chen, Haitao Leng, Weifeng Qiu
This paper studies a general class of semi-discrete hybridizable discontinuous Galerkin (HDG) methods, including mixed methods, for parabolic problems in nonconvex polygonal and po…
An Energy-Stable, Bound-Preserving and Locally Conservative Numerical Framework for Multicomponent Gas Flow in Poroelastic Media
Huangxin Chen, Yuxiang Chen, Jisheng Kou +1
In this paper, we propose a robust and efficient numerical framework for simulating multicomponent gas flow in poroelastic media, with a focus on preserving fundamental thermodynam…
Bound-Preserving Adaptive Time-Stepping Method with Energy Stability for Simulating Compressible Gas Flow in Poroelastic Media
Huangxin Chen, Yuxiang Chen, Jisheng Kou +1
In this paper, we present an efficient numerical method to address a thermodynamically consistent gas flow model in porous media involving compressible gas and deformable rock. The…
The Existence, uniqueness, and regularity of weak solutions for a thermodynamically consistent two-phase flow model in porous media
Huangxin Chen, Jisheng Kou, Haitao Leng +2
Thermodynamically consistent models for two-phase flow in porous media have attracted significant attention in recent years. In this paper, we prove the existence, uniqueness and r…
An Optimally Convergent parallel splitting Algorithm for the Multiple-Network Poroelasticity Model
Jijing Zhao, Huangxin Chen, Mingchao Cai +1
This paper presents a novel parallel splitting algorithm for solving quasi-static multiple-network poroelasticity (MPET) equations. By introducing a total pressure variable, the MP…