Isogeometric boundary element analysis using unstructured T-splines

► We couple isogeometric boundary element methods and unstructured T-spline surfaces. ► We extend the definition of analysis-suitable T-splines to encompass unstructured control grids. ► Our collocation procedure correctly accounts for sharp edges and corners, extraordinary points, and T-junctions. ► The approach is applied to several three-dimensional problems, including a real-world T-spline model of a propeller.