Finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations

✍ Scribed by Zhiguang Xiong; Yanping Chen

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 191 KB
• Volume: 196
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/j.cma.2006.10.042

✦ Synopsis

In this paper we extend the idea of interpolated coefficients for semilinear problems to the finite volume element methods. At first we introduce linear finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations. Next we derive convergence estimate in H 1 norm and superconvergence of derivative. Finally an example is given to illustrate the effectiveness of the proposed method.