Ming-Chih Lai

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 27

Top Topics

Poisson Equation

Projection Method

Top Venues

J. Comput. Phys.

Appl. Math. Lett.

SIAM J. Sci. Comput.

Publications

Chenxi Wang, Ming-Chih Lai, Zhen Zhang
An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants. J. Comput. Phys. 499 (2024)
Ming-Chih Lai, Yongcun Song, Xiaoming Yuan, Hangrui Yue, Tianyou Zeng
The Hard-Constraint PINNs for Interface Optimal Control Problems. CoRR (2023)
Che-Chia Chang, Chen-Yang Dai, Wei-Fan Hu, Te-Sheng Lin, Ming-Chih Lai
A convergent hybrid neural network and finite difference scheme for Stokes interface problems. CoRR (2023)
Yu-Hau Tseng, Te-Sheng Lin, Wei-Fan Hu, Ming-Chih Lai
A cusp-capturing PINN for elliptic interface problems. J. Comput. Phys. 491 (2023)
Yu-Hau Tseng, Ming-Chih Lai
A discontinuity and cusp capturing PINN for Stokes interface problems with discontinuous viscosity and singular forces. CoRR (2023)
Wei-Fan Hu, Te-Sheng Lin, Ming-Chih Lai
A discontinuity capturing shallow neural network for elliptic interface problems. J. Comput. Phys. 469 (2022)
Yu-Hau Tseng, Te-Sheng Lin, Wei-Fan Hu, Ming-Chih Lai
A cusp-capturing PINN for elliptic interface problems. CoRR (2022)
Ming-Chih Lai, Yunchang Seol
A stable and accurate immersed boundary method for simulating vesicle dynamics via spherical harmonics. J. Comput. Phys. 449 (2022)
Ming-Chih Lai, Che-Chia Chang, Wei-Syuan Lin, Wei-Fan Hu, Te-Sheng Lin
A shallow Ritz method for elliptic problems with singular sources. J. Comput. Phys. 469 (2022)
Wei-Fan Hu, Yi-Jun Shih, Te-Sheng Lin, Ming-Chih Lai
A shallow physics-informed neural network for solving partial differential equations on surfaces. CoRR (2022)
Kian Chuan Ong, Yunchang Seol, Ming-Chih Lai
An immersed boundary projection method for solving the fluid-rigid body interaction problems. J. Comput. Phys. 466 (2022)
Ming-Chih Lai, Sangbeom Park, Yunchang Seol
An energy stable finite difference method for anisotropic surface diffusion on closed curves. Appl. Math. Lett. 127 (2022)
Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai
A hybrid neural-network and finite-difference method for solving Poisson equation with jump discontinuities on interfaces. CoRR (2022)
Wei-Fan Hu, Te-Sheng Lin, Ming-Chih Lai
A Discontinuity Capturing Shallow Neural Network for Elliptic Interface Problems. CoRR (2021)
Kian Chuan Ong, Ming-Chih Lai, Yunchang Seol
An immersed boundary projection method for incompressible interface simulations in 3D flows. J. Comput. Phys. 430 (2021)
Ming-Chih Lai, Che-Chia Chang, Wei-Syuan Lin, Wei-Fan Hu, Te-Sheng Lin
A Shallow Ritz Method for elliptic problems with Singular Sources. CoRR (2021)
Yunchang Seol, Ming-Chih Lai
Spectrally Accurate Algorithm for Points Redistribution on Closed Curves. SIAM J. Sci. Comput. 42 (5) (2020)
Kian Chuan Ong, Ming-Chih Lai
An immersed boundary projection method for simulating the inextensible vesicle dynamics. J. Comput. Phys. 408 (2020)
Yunchang Seol, Yu-Hau Tseng, Yongsam Kim, Ming-Chih Lai
An immersed boundary method for simulating Newtonian vesicles in viscoelastic fluid. J. Comput. Phys. 376 (2019)
Shih-Hsuan Hsu, Jay Chu, Ming-Chih Lai, Richard Tsai
A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant. J. Comput. Phys. 395 (2019)
Ming-Chih Lai, Kian Chuan Ong
Unconditionally Energy Stable Schemes for the Inextensible Interface Problem with Bending. SIAM J. Sci. Comput. 41 (4) (2019)
Shih-Hsuan Hsu, Wei-Fan Hu, Ming-Chih Lai
A coupled immersed interface and grid based particle method for three-dimensional electrohydrodynamic simulations. J. Comput. Phys. 398 (2019)
Ming-Cheng Shiue, Kian Chuan Ong, Ming-Chih Lai
Convergence of the MAC Scheme for the Stokes/Darcy Coupling Problem. J. Sci. Comput. 76 (2) (2018)
Jian-Jun Xu, Weidong Shi, Ming-Chih Lai
A level-set method for two-phase flows with soluble surfactant. J. Comput. Phys. 353 (2018)
Ming-Chih Lai, Yunchang Seol
A short note on Navier-Stokes flows with an incompressible interface and its approximations. Appl. Math. Lett. 65 (2017)
Wei-Fan Hu, Ming-Chih Lai, Yunchang Seol, Yuan-Nan Young
Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method. J. Comput. Phys. 317 (2016)
Yunchang Seol, Wei-Fan Hu, Yongsam Kim, Ming-Chih Lai
An immersed boundary method for simulating vesicle dynamics in three dimensions. J. Comput. Phys. 322 (2016)
Po-Wen Hsieh, Ming-Chih Lai, Suh-Yuh Yang, Cheng-Shu You
An Unconditionally Energy Stable Penalty Immersed Boundary Method for Simulating the Dynamics of an Inextensible Interface Interacting with a Solid Particle. J. Sci. Comput. 64 (2) (2015)
Wei-Fan Hu, Ming-Chih Lai, Yuan-Nan Young
A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations. J. Comput. Phys. 282 (2015)
Yongsam Kim, Ming-Chih Lai, Charles S. Peskin, Yunchang Seol
Numerical simulations of three-dimensional foam by the immersed boundary method. J. Comput. Phys. 269 (2014)
Kuan-Yu Chen, Ming-Chih Lai
A conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant. J. Comput. Phys. 257 (2014)
Wei-Fan Hu, Yongsam Kim, Ming-Chih Lai
An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows. J. Comput. Phys. 257 (2014)
Ming-Chih Lai, Wei-Fan Hu, Wen-Wei Lin
A Fractional Step Immersed Boundary Method for Stokes Flow with an Inextensible Interface Enclosing a Solid Particle. SIAM J. Sci. Comput. 34 (5) (2012)
Peter Constantin, Ming-Chih Lai, Ramjee Sharma, Yu-Hou Tseng, Jiahong Wu
New Numerical Results for the Surface Quasi-Geostrophic Equation. J. Sci. Comput. 50 (1) (2012)
Kuan-Yu Chen, Ko-An Feng, Yongsam Kim, Ming-Chih Lai
A note on pressure accuracy in immersed boundary method for Stokes flow. J. Comput. Phys. 230 (12) (2011)
Yongsam Kim, Ming-Chih Lai, Charles S. Peskin
Numerical simulations of two-dimensional foam by the immersed boundary method. J. Comput. Phys. 229 (13) (2010)
Yongsam Kim, Ming-Chih Lai
Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method. J. Comput. Phys. 229 (12) (2010)
Kazufumi Ito, Ming-Chih Lai, Zhilin Li
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. J. Comput. Phys. 228 (7) (2009)
Ming-Chih Lai, Yu-Hau Tseng, Huaxiong Huang
An immersed boundary method for interfacial flows with insoluble surfactant. J. Comput. Phys. 227 (15) (2008)
Jingfang Huang, Ming-Chih Lai, Yang Xiang
An integral equation method for epitaxial step-flow growth simulations. J. Comput. Phys. 216 (2) (2006)
Ming-Chih Lai, Hsi-Chi Liu
Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows. Appl. Math. Comput. 164 (3) (2005)
Zhilin Li, Wei-Cheng Wang, I-Liang Chern, Ming-Chih Lai
New Formulations for Interface Problems in Polar Coordinates. SIAM J. Sci. Comput. 25 (1) (2003)
Ming-Chih Lai, Zhilin Li
A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. Appl. Math. Lett. 14 (2) (2001)
J. Thomas Beale, Ming-Chih Lai
A Method for Computing Nearly Singular Integrals. SIAM J. Numer. Anal. 38 (6) (2001)
Ruey-Kai Sheu, Ming-Chun Cheng, Yue-Shan Chang, Shyan-Ming Yuan, Jensen Tsai, Yao-Jin Hung, Ming-Chih Lai
CFMS - A Collaborative File Management System on WWW. HPCN Europe (2000)
Chien-Nan Jimmy Liu, Chen-Yi Chang, Jing-Yang Jou, Ming-Chih Lai, Hsing-Ming Juan
A novel approach for functional coverage measurement in HDL. ISCAS (2000)
Ping-Jer Yeh, Bih-Horng Chen, Ming-Chih Lai, Shyan-Ming Yuan
Synchronous Navigation Control for Distance Learning on the Web. Comput. Networks 28 (7-11) (1996)
Ming-Chih Lai, Bih-Horng Chen, Shyan-Ming Yuan
Toward a New Educational Environment. World Wide Web J. 1 (1) (1996)
Ming-Chih Lai, Bih-Horng Chen, Shyan-Ming Yuan
Toward a New Educational Environment. WWW (Fall) (1995)