Wavelet and finite element solutions for the Neumann problem using fictitious domains
This paper considers the Neumann problem in 2 dimensions as a classical test case for any elliptic solver. The method used is a fictitious domain method where the actual domain is embedded in a \(D\)-dimensional box. With this scheme periodic boundary conditions are used in the fictitious domain, for which standard methods exist. Some theoretical error analysis and numerical examples are given.
scientific article; zbMATH DE number 896661