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Lili Ju

University of South Carolina

701 Main Street

Columbia, SC 29208

United States

  • University of South Carolina

SCHOLARLY PAPERS

6

DOWNLOADS

432

TOTAL CITATIONS

0

Scholarly Papers (6)

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1.

Dynamically Regularized Lagrange Multiplier Schemes with Energy Dissipation for the Incompressible Navier-Stokes Equations

Number of pages: 26 Posted: 27 Aug 2024
Cao-Kha Doan, Thi Thao Phuong Hoang, Lili Ju and Rihui Lan
Auburn University, Auburn University, University of South Carolina and Ocean University of China
Downloads 165 (454,356)

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Incompressible Navier-Stokes equations, energy stability, Lagrange multiplier, Dynamic regularization, Marker-and-Cell method

2.

Unconditionally Original Energy-Dissipative and Mbp-Preserving Crank-Nicolson Scheme for the Allen-Cahn Equation with General Mobility

Number of pages: 23 Posted: 11 Jan 2025
Dianming Hou, Hui Liu and Lili Ju
Jiangsu Normal University, Jiangsu Normal University and University of South Carolina
Downloads 73 (852,604)

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Allen-Cahn Equation, general mobility, energy dissipation, Crank-Nicolson

3.

A Multiple Transferable Neural Network Method with Domain Decomposition for Elliptic Interface Problems

Number of pages: 25 Posted: 27 Aug 2024
Tianzheng Lu, Lili Ju and Liyong Zhu
affiliation not provided to SSRN, University of South Carolina and affiliation not provided to SSRN
Downloads 58 (980,173)

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4.

Unconditional Energy Stable and Mass-Conserving Gauge-Uzawa Msav Methods for the Cahn-Hilliard-Navier-Stokes Model

Number of pages: 33 Posted: 06 May 2025
Baolin Kuang, Hongfei Fu, Rihui Lan and Lili Ju
Ocean University of China, Ocean University of China, Ocean University of China and University of South Carolina
Downloads 56 (1,000,027)

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Cahn-Hilliard-Navier-Stokes model, Gauge-Uzawa Method, multiple scalar auxiliary variables, Unconditional Energy Stable, mass conservation, fully decoupled

5.

Exponential Integrator Fourier Galerkin Method for Semilinear Parabolic Equations

Number of pages: 33 Posted: 28 Mar 2025
Jianguo Huang, Lili Ju and Yuejin Xu
Shanghai Jiao Tong University (SJTU) - SCHOOL OF MATHEMATICAL SCIENCES, University of South Carolina and affiliation not provided to SSRN
Downloads 45 (1,121,190)

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Semilinear parabolic equations, exponential integrator, Fourier Galerkin method, Runge-Kutta, error estimates

6.

An Explicit Local Time-Stepping Method for Dual-Horizon Bond-Based Peridynamics

Number of pages: 26 Posted: 30 Mar 2024
Hao Tian, Xiaofang Wang, Chenguang Liu, Hongfei Fu and Lili Ju
Ocean University of China, Ocean University of China, Ocean University of China, Ocean University of China and University of South Carolina
Downloads 35 (1,249,711)

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Peridynamics, local-time stepping, dual-horizon peridynamics, high-order, crack propagation