Title :
A moving mesh method based on minimizing energy function
Author :
Yang, Yin ; Zhou, Qin
Author_Institution :
Sch. of Math. & Comput. Sci., Xiangtan Univ., Xiangtan, China
Abstract :
Moving mesh methods are becoming increasingly popular for several kinds of parabolic and hyperbolic partial differential equations (PDEs). In this paper, we develop a moving mesh method based on minimizing energy function with upwinding schemes and provide a moving mesh algorithm for time-dependent PDEs. Numerical experiments are carried out to demonstrate the efficiency and robustness of the proposed methods.
Keywords :
hyperbolic equations; mesh generation; parabolic equations; partial differential equations; energy function; hyperbolic partial differential equations; moving mesh method; parabolic partial differential equations; time-dependent PDE; Boundary value problems; Convergence; Equations; Mathematical model; Monitoring; Partial differential equations; Trajectory;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5584615
