Error estimation of a quadratic finite volume method on right quadrangular prism grids

✍ Scribed by Min Yang; Jiangguo Liu; Chuanjun Chen

• Book ID: 104006095
• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 633 KB
• Volume: 229
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.10.036

✦ Synopsis

In this paper, we develop a finite volume element method with affine quadratic bases on right quadrangular prism meshes for three-dimensional elliptic boundary value problems.

The optimal H 1 -norm error estimate of second order accuracy is proved under certain assumptions about the meshes. Numerical results are presented to illustrate the theoretical analysis.