Professor Bernardo Cockburn receives 2024 Frontiers of Science Award in Mathematics

MINNEAPOLIS / ST. PAUL (3/20/2024) – The International Congress of Basic Science recently selected a paper by Distinguished McKnight University Professor Bernardo Cockburn and collaborators for the 2024 Frontiers of Science Award in Mathematics. The paper, entitled Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods, was a collaboration between Professor Cockburn, Daniele A. Di Pietro (Université de Montpellier), and Alexandre Ern (Ecole des Ponts).

Hybrid high-order (HHO) and the hybridizable discontinuous Galerkin (HDG) methods are both used to solve partial differential equations, like those describing diffusion, in a more efficient way than traditional methods. Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods explores ways to build a bridge between HHO and HDG methods in the setting of a model diffusion problem to take advantage of each method’s strengths. Incorporating the HHO method into the HDG framework brings up new, efficient choices of the local spaces and a new, subtle construction of the numerical flux ensuring optimal orders of convergence on meshes made of general shape-regular polyhedral elements.

Cockburn first joined the University of Minnesota as a postdoctoral associate at the Institute for Mathematics and its Applications in 1986. Since joining the faculty the following year, Cockburn’s research has been primarily focused on the devising and analysis of efficient methods for numerically solving linear and nonlinear partial differential equations. He is particularly interested in the development of discontinuous Galerkin methods. For his outstanding research contributions and dedication to the mathematical community, Cockburn was named a Distinguished McKnight University Professor in 2007 and was invited to speak at the International Congress of Mathematicians in 2010.

The Frontiers of Science Award in Mathematics (FSA) was inaugurated in 2023 with support from the International Congress of Basic Sciences (ICBS), and was sponsored by the City of Beijing and the Yanqi Lake Beijing Institute of Mathematical Sciences and Application. An FSA is awarded to a recent paper, recognized for a major breakthrough in its field. FSA recipients are invited to the ICBS to accept the award in person in July 2024, at the Great Hall of People of China in Beijing. More information can be found here.