Daniele Boffi
- Associate Dean for Faculty, Computer, Electrical and Mathematical Sciences and Engineering
- Professor, Applied Mathematics and Computational Sciences
- Principal Investigator, Numerical Methods for PDEs
Professor Boffi is a leading international expert in mixed finite elements and the approximation of eigenvalue problems arising from partial differential equations.
Biography
Daniele Boffi is a professor in the Applied Mathematics and Computational Science Program at KAUST. Before joining KAUST, he spent 14 years as a full professor in the Department of Mathematics at the University of Pavia (UnIPV), Italy.
Boffi received his Ph.D. in Mathematics from UnIPV in 1996 and his M.S. in Mathematics from the same institution in 1990. During his time in Italy, he served as the director of Pavia's Higher Education School and was a member of several academic committees, including the University's Academic Senate and Evaluation Committee.
Boffi's research focuses on the numerical approximation of partial differential equations, spanning various aspects of mathematical modeling and scientific computing. He has made significant contributions to the modeling and simulation of fluid-structure interaction problems and the study of the numerical approximation of eigenvalue problems arising from partial differential equations.
At KAUST, Boffi leads the Numerical Methods for PDEs (NumPDE) research group, which provides a platform for the mathematical analysis and numerical validation of numerical schemes.
Research Interests
Professor Boffi's research is primarily devoted to the numerical approximation of partial differential equations, encompassing various aspects of mathematical modeling and scientific computing.
In particular, he has made significant contributions to the modeling and simulation of fluid-structure interaction problems and the study of the numerical approximation of eigenvalue problems arising from partial differential equations.
He leads the Numerical Methods for PDEs (NumPDE) research group at KAUST, which provides a rigorous platform for the mathematical analysis and numerical validation of numerical schemes.
Education
- Doctor of Philosophy (Ph.D.)
- Mathematics, University of Pavia, Italy, 1996
- Master of Science (M.S.)
- Mathematics, University of Pavia, Italy, 1990
Selected Publications
- Boffi, Daniele and Gastaldi, Lucia, 2019, Adaptive finite element method for the Maxwell eigenvalue problem: SIAM Journal on Numerical Analysis, 57,478-494.
- Boffi, Daniele and Gastaldi, Lucia, 2017, A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions: Numerische Mathematik, 135, 711-732.
- Boffi, Daniele, Cavallini, Nicola, and Gastaldi, Lucia, 2015, The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier: SIAM Journal on Numerical Analysis, 53, 2584-2604.
- Boffi, Daniele, Brezzi, Franco, and Fortin, Michel, 2013, Mixed Finite Element Methods and Applications: Springer Series in Computational Mathematics, 44.
- Boffi, Daniele, 2010, Finite element approximation of eigenvalue problems: Acta Numerica, 19, 1-120.
- Boffi, Daniele, Costabel, Martin, Dauge, Monique, Demkowicz, Leszek, and Hiptmair, Ralf, 2011, Discrete compactness for the p-version of discrete differential forms: SIAM Journal on Numerical Analysis, 49, 135-158.
- Boffi, Daniele, Brezzi, Franco, Demkowicz, Leszek, Duran, Ricardo G., Falk, Richard S., and Fortin Michel, 2008, Mixed finite elements, compatibility conditions, and applications: Lecture Notes in Mathematics, Springer Verlag. 1939, D. Boffi, L. Gastaldi editors.
- Boffi, Daniele, Gastaldi, Lucia, Heltai, Luca, and Peskin, Charles S., (2008), On the hyper-elastic formulation of the immersed boundary method: Computer Methods in Applied Mechanics and Engineering, 197, 2210-2231.
- Boffi, Daniele, Gastaldi, Lucia, and Heltai, Luca, 2007, Numerical stability of the finite element immersed boundary method: Mathematical Models and Methods in Applied Sciences, 10, 1479-1505.
- Arnold, Douglas N., Boffi, Daniele, and Falk, Richard S., 2002, Approximation by quadrilateral finite elements: Mathematics of Computation, 71, 909-922.
- Boffi, Daniele, 2000, Fortin operator and discrete compactness for edge elements: Numerische Mathematik, 87, 229-246.
- Boffi, Daniele, Brezzi, Franco, and Gastaldi, Lucia, 2000, On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form: Mathematics of Computation, 69, 121-140.
- Boffi, Daniele, Fernandes, Pablo, Gastaldi, Lucia, and Perugia, Ilaria, 1999, Computational models of electromagnetic resonators: analysis of edge element approximation: SIAM Journal on Numerical Analysis, 36, 1264-1290.
- Boffi, Daniele, 1997, Three-dimensional finite element methods for the Stokes problem: SIAM Journal on Numerical Analysis, 34, 664-670.