Discrete negative norms in the analysis of supraconvergent two dimensional cell...

• Author(s): Barbeiro, S.
• Date: 2006
• Persistent ID: http://hdl.handle.net/10316/11329
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Cell-centered finite differences scheme; Nonuniform mesh; Stability; Supraconvergence
• Document Type: Preprint
• Language: English

Description

In this paper we study the convergence properties of cell-centered finite difference schemes for second order elliptic equations with variable coefficients. We prove that the finite difference schemes on nonuniform meshes although not even being consistent are nevertheless second order convergent. The convergence is studied with the aid of an appropriate negative norm. Numerical examples support the convergence result.