Alessandra Aimi, PA (PhD, Associate Professor)

- Isogeometric Analysis and Boundary Element Method
- Study of elastic wave propagation problems in layered media, reformulated in terms of boundary integral equations (BIEs) in space-time domain. Introduction of a new weak formulation related to the energy of the differential model problem
- Energetic BEM-FEM coupling 
- Introduction and analysis of numerical quadrature schemes for double integrals with weakly singular, singular and hyper-singular kernels arising in the solution of BIEs with Galerkin BEM related to 2D and 3D problems
- Reformulation in discrete context of Decomposition in Subspaces Method, with the introduction of suitable restriction matrices

Publications of Alessandra AIMI

Mauro Diligenti, PO (Full Professor)

- Boundary integral equations and boundary elements method

- Analysis and applications of new numerical methods for integral models related to study of elastic waves propagation in multi-domains

- Numerical Integration

- Decomposition method

 

Publications of Mauro DILIGENTI

- numerical methods for kinetic theory
- weak formulations for wave propagation problems
- numerical quadrature schemes
- “fast” techniques for the linear system resolution
- numerical methods for finance models

 

Publications of Chiara GUARDASONI

• 2017 grant CARIPARMA Banking foundation  (responsible:  A. Aimi)
• INdAM-GNCS 2017 (12 months): New numerical techniques for the solution of time-dependent problems by BEM (responsible:  A. Aimi, participants: M. Diligenti, C. Guardasoni)
• GNCS 2016 (12 months): Isogeometric approach and quadrature techniques for 3D Boundary Element Method (participants: A.Aimi, M.Diligenti, C. Guardasoni)
• INdAM-GNCS 2015 (12 months): Isogeometric Analysis and Boundary Element Method (responsible: A. Aimi, participants: C. Guardasoni, M. Diligenti)
• FIL 2014 – Local Funds for Research based on peer-review: Boundary Element Method for barrier options in models with time-dependent parameters (responsible: C. Guardasoni; participants: S. Sanfelici, M. de Donno, A. Aimi; external collaborators: M. Rodrigo (University of Wallongong, Australia), J. Akahori (Ritsumeikan University, Japan), L.V. Ballestra (University of Bologna), D. Marazzina (Polytechnic of Milan).
• INdAM-GNCS 2014 (12 months): From approximation to linear algebra: numerical methods for isogeometric analysis (participants: A. Aimi, M.Diligenti)
• INdAM-GNCS 2013 (12 months): Fast methods for the numerical resolution of systems of integro-differential equations (responsible: A. Aimi, participant: C.Guardasoni)
• INDAM_GNCS-Young Researchers (12 months): Integral equations approach for numerical resolution of Quantitative Finance problems; (responsible: C. Guardasoni; participants: S. Sanfelici; external collaborators: G. Sartorelli, A. Pallavicini (IMI Bank of Milan)).
• INdAM-GNCS 2012 (12 months): Coupling of Numerical Methods for BIEs and PDEs related to external and multi-layers evolutionary problems (responsible: A. Aimi, participant: C. Guardasoni)
• INdAM-GNCS 2011 (12 months): Numerical Methods for problems of elastic waves propagation in multi-domains (responsible: A. Aimi, participant: C. Guardasoni)
• GNCS-2010 Research Fellow Program: Application of Restriction Matrices to Boundary Element Method for evolutionary problems (responsible: C.Guardasoni; participants: A. Aimi, M. Diligenti, S. Gazzola (University of Bath)).
• PRIN 2009 (24 mesi): Boundary Element Method for elastic waves propagation problems, National responsible: Prof. G. Monegato (Politecnico di Torino); local responsible: Prof. M. Diligenti; participants: A. Aimi, C. Guardasoni.
• PRIN 2007 (24 months): Boundary Element Method for elastic waves propagation problems,  National responsible: Prof. G. Monegato (Politecnico di Torino); local responsible: Prof. M. Diligenti; participants: A. Aimi, C. Guardasoni.
• PRIN 2007 Italian Research Program: Advanced Numerical Methods for evolutionary equations and multi-scale problems;
  supervisors: Prof. A. Quarteroni (Polytechnic of Milan) and Prof. G. Naldi (University of Milan); participants: C. Guardasoni.

INdAM GNCS: Archvio Progetti di Ricerca

• 28 June 2016: Pricing of Financial Derivatives, University of Modena and Reggio Emilia, Speaker: C. Guardasoni
• 27 Janaury 2016: IgA-SGBEM: an overview, Workshop “Design of Reliable, Exact, and Application-oriented techniques for geometric Modeling and numerical Simulations (DREAMS)”, University of Rome “Tor Vergata”, Speaker: A. Aimi
• 3 July 2014: A boundary element method for pricing barriers options, Insurance & Finance day, University of Parma, Speaker: C. Guardasoni
• 8 January 2014: Energetic BEM-FEM coupling for the numerical solution of wave propagation problems in unbounded multi-domains, Department of Mathematics and Computer Science, University of Florence, Speaker: A. Aimi
• 27 May 2013: Energetic BEM-FEM coupling for wave propagation in unbounded media, MOX Seminars, Polytechnic of Milan, Speaker: A. Aimi
• 23-25 November 2011: An energy approach to space-time Galerkin BEM for exterior wave propagation problems, INRIA, Monthly POEMS Seminars, Rocquencourt (Paris), Speaker: A. Aimi
• 9 September 2010: An energy approach to space-time Galerkin BEM for wave propagation problems, Workshop “Space-time Boundary Integral Equation Methods for Wave Propagation Problems”, Turin Polythecnic, Speaker: A. Aimi