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math.NA2024
High-accurate and efficient numerical algorithms for the self-consistent field theory of liquid-crystalline polymers
Zhijuan He, Kai Jiang, Liwei Tan +1
Self-consistent field theory (SCFT) is one of the most widely-used framework in studying the equilibrium phase behaviors of inhomogenous polymers. For liquid crystalline polymeric…
math.NA2024
A GPU-accelerated Cartesian grid method for PDEs on irregular domain
Liwei Tan, Minsheng Huang, Wenjun Ying
The kernel-free boundary integral (KFBI) method has successfully solved partial differential equations (PDEs) on irregular domains. Diverging from traditional boundary integral met…
math.NA2024
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
Liwei Tan, Minsheng Huang, Wenjun Ying
This paper introduces a second-order method for solving general elliptic partial differential equations (PDEs) on irregular domains using GPU acceleration, based on Ying's kernel-f…