Quotient-space boundary element methods for scattering at complex screens

Abstract A complex screen is an arrangement of panels that may not be even locally orientable because junction lines. comprehensive trace space framework for first-kind variational boundary integral equations on screens has been established in Claeys and Hiptmair (Integr Equ Oper Theory 77:167–197, 2013. https://doi.org/10.1007/s00020-013-2085-x ) the Helmholtz equation, 84:33–68, 2016. https://doi.org/10.1007/s00020-015-2242-5 Maxwell’s frequency domain. The gist a quotient perspective allows to make sense jumps traces as factor spaces multi-trace modulo single-trace without relying orientation. This paves way formulating weak form posed energy spaces. In this article we extend idea Galerkin element (BE) discretization equations. Instead trying approximate directly, new method employs BE approach spawns discrete with large null comprised functions. Yet, since right-hand-sides linear systems are consistent, Krylov subspace iterative solvers like GMRES affected by presence kernel still converge solution. strikingly confirmed numerical tests.