Bruno Degli Esposti

Bruno Degli Esposti

Postdoc in numerical analysis at the department of mathematics and computer science of the University of Florence

Affiliations and Research Funding

Prospective Research

High-order isogemetric boundary element methods for acoustic and elastodynamic problems on complex 3D domains

My research goal is to advance numerical schemes for the simulation of 3D acoustic and elastic wave propagation phenomena by designing an efficient, high-order Isogeometric Boundary Element Method (IgA-BEM) framework based on convolution quadrature. Novel strategies for the accurate computation of collocation BEM integrals will be investigated in the case of piecewise smooth multi-patch CAD geometries, possibly with trimming.

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.