معرفی
Andrea Moiola is a Researcher in the Department of Mathematics at the University of Pavia, specializing in Scientific Computing with a focus on Numerical Methods and Applications. His work centers on developing and analyzing advanced numerical techniques for partial differential equations, particularly wave propagation problems (acoustic, electromagnetic, and quantum). He is affiliated with the Scientific Computing Group and contributes to interdisciplinary projects involving boundary element methods, discontinuous Galerkin methods, and space-time formulations.
Research interests include Helmholtz equations, Maxwell's equations, and Schrödinger equations, with applications to scattering problems, fractal geometry, and heterogeneous media. He emphasizes high-frequency asymptotics, stability analysis, and efficient computational strategies for challenging problems like acoustic scattering by fractal screens and wave propagation in non-smooth domains. His methods often leverage Trefftz-type basis functions and polynomial approximations to enhance accuracy and efficiency.
Publications highlight contributions to numerical analysis of wave equations, boundary integral equations, and isogeometric methods. He has explored topics such as evanescent plane wave approximations, Hausdorff-measure boundary element methods, and polynomial quasi-Trefftz spaces. His work bridges theoretical foundations (e.g., Sobolev spaces on rough sets) with practical implementations, ensuring robust numerical solutions for complex geometries and physical phenomena.
