Interpolation of functions based on Poincare type inequalities for functions with zero mean boundary traces
S. Repin · Russian Journal of Numerical Analysis and Mathematical Modelling · 2015
Abstract We consider interpolation operators for scalar and vector valued functions based on mean values (or on mean values of normal components) defined on certain amount of faces of a mesh consisting of the Lipschitz subdomains (cells). The main result establishes sufficient conditions, which guarantee that a function u ∈ H