Norms of discrete trace functions of H1(Ω) and H 2(Ω)

作者：Xu Jinchao^*; Zhang Shuo

来源：Computational Methods in Applied Mathematics, 2012, 12(4): 500-512.

DOI：10.2478/cmam-2012-0025

• Isomorphic extension
• Nonconforming discretization
• Nonlocal
• Poincare
• Unstructured grid

This paper discusses the constructive and computational presentations of several non-local norms of discrete trace functions of H1(Ω) and H2(Ω) defined on the boundary or interface of an unstructured grid. We transform the nonlocal norms of trace functions to local norms of certain functions defined on the whole domain by constructing isomorphic extension operators. A unified approach is used to explore several typical examples. Additionally, we also discuss exactly invertible Poincare´-Steklov operators and their discretization.

• 出版日期2012
• 单位The Pennsylvania State University; pennsylvania State University