56 citations · 120 across the 23 of their papers we have counts for
23 papers
On efficient linear and fully decoupled finite difference method for wormhole propagation with heat transmission process on staggered grids
Xiaoli Li, Ziyan Li, Hongxing Rui
In this paper, we construct an efficient linear and fully decoupled finite difference scheme for wormhole propagation with heat transmission process on staggered grids, which only…
A novel energy-optimal scalar auxiliary variable (EOP-SAV) approach for gradient flows
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
In recent years, the scalar auxiliary variable (SAV) approach has become very popular and hot in the design of linear, high-order and unconditional energy stable schemes of gradien…
Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations
Xiaoli Li, Jie Shen
We carry out a rigorous error analysis of the first-order semi-discrete (in time) consistent splitting scheme coupled with a generalized scalar auxiliary variable (GSAV) approach f…
A novel Lagrange Multiplier approach with relaxation for gradient flows
Zhengguang Liu, Xiaoli Li
In this paper, we propose a novel Lagrange Multiplier approach, named zero-factor (ZF) approach to solve a series of gradient flow problems. The numerical schemes based on the new…
High Order Compact Finite Difference Methods for Non-Fickian Flows in Porous Media
Xuan Zhao, Ziyan Li, Xiaoli Li
In this work, fourth-order compact block-centered finite difference (CBCFD) schemes combined with the Crank-Nicolson discretization are constructed and analyzed for solving parabol…
Highly efficient exponential scalar auxiliary variable approaches with relaxation (RE-SAV) for gradient flows
Zhengguang Liu, Xiaoli Li
For the past few years, scalar auxiliary variable (SAV) and SAV-type approaches became very hot and efficient methods to simulate various gradient flows. Inspired by the new SAV ap…