STABILIZED FEM FOR CONVECTION-DIFFUSION PROBLEMS ON LAYER-ADAPTED MESHES

• 来源期刊: 计算数学（英文版）
• 关键词: Singular perturbations Convection-diffusion Finite element method Stabilization Layer-adapted mesh Superconvergence Recovery
• 年，卷（期）: 2009,（2）
• 页码范围: 266-279
• 页数: 14页
• 语种: 英文

摘要

The application of a standard Galerkin finite element method for convection-diflusion problems leads to oscillations in the discrete solution,therefore stabilization seems to be necessary.We discuss several recent stabilization methods,especially its combination with a Galerkin method on layer-adapted meshes.Supercloseness results obtained allow an improvement of the discrete solution using recovery techniques.