Topology optimization based on isogeometric boundary element method (IGBEM)

摘要

We pesent a topology optimization framework based on the isogeoetric boundary element method (IGBEM), adjoint variable problem, and the level set method fpr the two-dimensional acoustic problems. The main challenge is developping an algorithm to represent the multiple points where the level set function equals to zero with one or more continuous B-spline closed curves. That we use linear interpolation to obtain those points, then regroup and order those points. Finally we introduce the inverse calculation of B-spline to generate such continuous B-spline closed curves.