Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates

Abstract In their article “Coupling at a distance HDG and BEM” , Cockburn, Sayas Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) boundary element (BEM) to solve exterior Dirichlet problem. The novelty numerical scheme consisted using computational domain for discretization whose did not coincide with interface. article, authors provided extensive evidence convergence, but proof convergence error analysis remained elusive that time. this we fill gap by proving relaxation algorithm providing priori estimates solution.