Purely meshless boundary methods on 3D CAD geometries using moment-free quadrature
My research goal is to develop a purely meshless pipeline for the numerical solution of partial differential equations on 3D CAD geometries based on the original combination of the following techniques: meshless boundary methods, possibly coupled with volume methods such as RBF-FD, my own C++ library NodeGenLib for the generation of variable-density unstructured nodes on the surface of 3D CAD domains given in B-Rep format, the moment-free meshless quadrature formulas introduced in my doctoral dissertation, and methods such as quadrature by expansion that allow singular integrals to be evaluated in terms of regular integrals.