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In a recent work, we analyzed a weighted-residual error estimator forisogeometric boundary element methods in 2D and proposed an adaptive algorithmwhich steers the local mesh-refinement of the underlying partition as well asthe multiplicity of the knots. In the present work, we give a mathematicalproof that this algorithm leads to convergence even with optimal algebraicrates. Technical contributions include a novel mesh-size function which alsomonitors the knot multiplicity as well as inverse estimates for NURBS infractional-order Sobolev norms.

Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations