Zobrazeno 1 - 10
of 328
pro vyhledávání: '"Pan, Kejia"'
In this study, we propose a genuine fourth-order compact finite difference scheme for solving biharmonic equations with Dirichlet boundary conditions in both two and three dimensions. In the 2D case, we build upon the high-order compact (HOC) schemes
Externí odkaz:
http://arxiv.org/abs/2409.01064
Second order accurate Cartesian grid methods have been well developed for interface problems in the literature. However, it is challenging to develop third or higher order accurate methods for problems with curved interfaces and internal boundaries.
Externí odkaz:
http://arxiv.org/abs/2206.05389
Publikováno v:
In Computer Physics Communications August 2024 301
Autor:
Gao, Shuai, Pan, Kejia, Chen, Dongxu, Wang, Bao, Wu, Shixing, Luo, Xuan, Sun, Minghan, Zhao, Chao, Li, Ning
Publikováno v:
In Journal of Materials Research and Technology November-December 2024 33:318-334
Autor:
Li, Zhilin, Pan, Kejia
In this paper new innovative fourth order compact schemes for Robin and Neumann boundary conditions have been developed for boundary value problems of elliptic PDEs in two and three dimensions. Different from traditional finite difference operator ap
Externí odkaz:
http://arxiv.org/abs/2109.05638
Peskin's Immersed Boundary (IB) model and method are among one of the most important modeling tools and numerical methods. The IB method has been known to be first order accurate in the velocity. However, almost no rigorous theoretical proof can be f
Externí odkaz:
http://arxiv.org/abs/2108.06630
Autor:
Li, Zhilin, Pan, Kejia
Publikováno v:
In Journal of Computational and Applied Mathematics July 2024 444
Publikováno v:
In Journal of Materials Science & Technology 10 May 2024 181:152-164
Publikováno v:
In Journal of Molecular Liquids 1 May 2024 401
Publikováno v:
In Tribology International May 2024 193