Finite volume scheme based on cell-vertex reconstructions for anisotropic diffu...

• Author(s): Costa, Ricardo ; Clain, St??phane ; Machado, Gaspar J.
• Date: 2014
• Persistent ID: http://hdl.handle.net/1822/30273
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Finite volume; Second-order; Non-homogeneous; Anisotropic diffusion
• Document Type: Conference Object
• Language: English

Description

We propose a new second-order finite volume scheme for non-homogeneous and anisotropic diffusion problems based on cell to vertex reconstructions involving minimization of functionals to provide the coefficients of the cell to vertex mapping. The method handles complex situations such as large preconditioning number diffusion matrices and very distorted meshes. Numerical examples are provided to show the effectiveness of the method.