Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations

We formulate and analyze an adaptive algorithm for isogeometric analysis with hierarchical B-splines weakly-singular boundary integral equations. prove that the employed weighted-residual error estimator is reliable converges at optimal algebraic rate. Numerical experiments elements 3D Poisson problem confirm theoretical results, which also cover general elliptic systems like linear elasticity.