FINITE ELEMENT APPROXIMATION OF A NONLINEAR STEADY-STATE HEAT CONDUCTION PROBLEM

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Boundary value elliptic problems Comparison principle Maximum principle Finite element method Discrete maximum principle Nonobtuse partitions.
• 年，卷（期）: 2001,（1）
• 页码范围: 27-34
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

We examine a nonlinear partial differential equation of elliptic type with the homogeneous Dirichlet boundary conditions. We prove comparison and maximum principles. For associated finite element approximations we introduce a discrete analogue of the maximum principle for linear elements, which is based on nonobtuse tetrahedral partitions.