Title :
Superconvergence of Discontinuous Finite Element Method for Delay-Differential Equations
Author :
Kang Deng ; Zhiguang Xiong ; Xiaocui Yan ; Yanping Liu
Author_Institution :
Sch. of Math. & Comput. Sci., Hunan Univ. of Sci. & Technol., Xiangtan, China
Abstract :
In this paper, we introduce and analyze the discontinuous finite element method for a class of delay-differential equation with a term. Based on an orthogonal expansion in an element we derive optimal super convergence u - U = O(hm+2) at the (m+1)-order characteristic points and u - U = O(hm+2) at the integer nodal points. Finally the theoretic results are tested by a numerical example.
Keywords :
convergence of numerical methods; differential equations; finite element analysis; delay-differential equation; discontinuous finite element method; integer nodal points; optimal super convergence; order characteristic points; orthogonal expansion; superconvergence; Differential equations; Mathematical model; Method of moments; Polynomials; Presses; Characteristic points; Delay differential equation; Discontinuous finite element; Orthogonal expansion; Superconvergence;
Conference_Titel :
Emerging Intelligent Data and Web Technologies (EIDWT), 2013 Fourth International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4799-2140-9
DOI :
10.1109/EIDWT.2013.30
