Zobrazeno 1 - 10
of 161
pro vyhledávání: '"Xu, Xianmin"'
We present a natural framework for constructing energy-stable time discretization schemes. By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial differential equation models for diverse gradient flow systems. Further
Externí odkaz:
http://arxiv.org/abs/2406.12652
Autor:
Liu, Yihe, Xu, Xianmin
The mean curvature flow describes the evolution of a surface(a curve) with normal velocity proportional to the local mean curvature. It has many applications in mathematics, science and engineering. In this paper, we develop a numerical method for me
Externí odkaz:
http://arxiv.org/abs/2404.11935
Autor:
Xiao, Si, Xu, Xianmin
In this paper, we introduce a new approach to solving the porous medium equation using a moving mesh finite element method that leverages the Onsager variational principle as an approximation tool. Both the continuous and discrete problems are formul
Externí odkaz:
http://arxiv.org/abs/2403.20030
Autor:
Lu, Song, Xu, Xianmin
In this paper, we propose a new trace finite element method for the {Laplace-Beltrami} eigenvalue problem. The method is proposed directly on a smooth manifold which is implicitly given by a level-set function and require high order numerical quadrat
Externí odkaz:
http://arxiv.org/abs/2108.02434
Autor:
Chen, Yujuan, Xu, Xianmin
We study theoretically the self-propulsion dynamics of a small droplet on general curved surfaces by a variational approach. A new reduced model is derived based on careful computations for the capillary energy and the viscous dissipation in the syst
Externí odkaz:
http://arxiv.org/abs/2107.12152
Autor:
Zhang, Zhen, XU, Xianmin
Recent experiments (Guan et al. 2016a,b) showed many interesting phenomena on dynamic contact angle hysteresis while there is still a lack of complete theoretical interpretation. In this work, we study the time averaging of the apparent advancing and
Externí odkaz:
http://arxiv.org/abs/2105.08290
Autor:
Xu, Xianmin
By using the Onsager principle as an approximation tool, we give a novel derivation for the moving finite element method for gradient flow equations. We show that the discretized problem has the same energy dissipation structure as the continuous one
Externí odkaz:
http://arxiv.org/abs/2009.01393
Autor:
Xu, Xianmin, Wang, Xiaoping
A dynamic wetting problem is studied for a moving thin fiber inserted in fluid and with a chemically inhomogeneous surface. A reduced model is derived for contact angle hysteresis by using the Onsager principle as an approximation tool. The model is
Externí odkaz:
http://arxiv.org/abs/2008.12549
Publikováno v:
Physics of Fluids, 2020
We calculate the shape and the velocity of a bubble rising in an infinitely large and closed Hele-Shaw cell using Park and Homsy's boundary condition which accounts for the change of the three dimensional structure in the perimeter zone. We first for
Externí odkaz:
http://arxiv.org/abs/2008.10434
Publikováno v:
Computers & Mathematics with Applications, V. 90 (2021), p.148-158
The paper studies an Allen-Cahn-type equation defined on a time-dependent surface as a model of phase separation with order-disorder transition in a thin material layer. By a formal inner-outer expansion, it is shown that the limiting behavior of the
Externí odkaz:
http://arxiv.org/abs/2007.09531