Anisotropic mesh adaptation for finite element solution of Anisotropic Porous Medium Equation. (15th March 2018)

• Record Type: Journal Article
• Authors: Li, Xianping
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 6(2018)
• Page Start: 2086
• Page End: 2099
• Publication Date: 2018-03-15
• Subjects: Porous medium equation -- Anisotropic mesh adaptation -- Adaptive mesh -- Anisotropic diffusion -- Finite element -- Moving mesh; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.08.005
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: Anisotropic Porous Medium Equation (APME) is developed as an extension of the Porous Medium Equation (PME) for anisotropic porous media. A special analytical solution is derived for APME for time-independent diffusion. Anisotropic mesh adaptation for linear finite element solution of APME is discussed and numerical results for two dimensional examples are presented. The solution errors using anisotropic adaptive meshes show second order convergence.