56 citations · 120 across the 23 of their papers we have counts for
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math.NA2022★ 6 cited
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…
math.AP2022
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…
math.NA2022★ 1 cited
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…