Finite Element Scheme with Crank-Nicolson Method for Parabolic Nonlocal Problems Involving the Dirichlet Energy

被引：5
|
作者：
Chaudhary, Sudhakar [1 ]
Srivastava, Vimal [1 ]
Kumar, V. V. K. Srinivas [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Delhi, India
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2017年 / 14卷 / 05期
关键词：
Kirchhoff equation; Crank-Nicolson method; Newton's method; APPROXIMATIONS; EQUATIONS;
D O I：
10.1142/S0219876217500530
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we present a finite element scheme with Crank-Nicolson method for solving nonlocal parabolic problems involving the Dirichlet energy. We discuss the well-posedness of the weak formulation at continuous as well as at discrete levels. We derive a priori error estimates for both semi-discrete and fully-discrete formulations. Results based on usual finite element method are provided to confirm the theoretical estimates.
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页数：24
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