Challenges and Applications of Boundary Element Domain Decomposition Methods

摘要: Boundary integral equation methods are well suited to represent the Dirichlet Neumann maps which required in formulation of domain decomposition methods. Based on symmetric representation local Steklov– Poincare operators by a Galerkin boundary element method, we describe stabilized variational for map. By strong coupling data across interfaces, obtain mixed formulation. For biorthogonal basis functions resulting system is equivalent nonredundant finite and tearing interconnecting We will also address several open questions, ideas challenging tasks numerical analysis methods, implementation those algorithms, their applications.