September 20 - December 17, 2027
Organizers: Paola F. Antonietti (Politecnico di Milano), Joscha Gedicke (University of Bonn), Lorenzo Mascotto (University of Milano-Bicocca)
Description: Numerical methods for partial differential equations play a central role in modern scientific computing. While classical finite element methods remain widely used, handling complex geometries, coupled systems, and nonlinear phenomena often poses challenges for ensuring accuracy, robustness, and preserving intrinsic physical properties. This Trimester Program aims to bring together experts working on the design of innovative numerical schemes, their rigorous mathematical foundations, and the accurate simulation of real-world systems.
The program begins with a comprehensive one-week introductory school for PhD students and postdocs, offering a unified overview of the three main themes. It then features one conference and two thematic workshops, each focusing on one of the core areas: the design and analysis of nonstandard Galerkin methods, continuous and discrete functional analysis tools for such methods, and advanced discretizations for problems in geophysics, engineering, and the life sciences. The scientific program is complemented by a series of weekly seminars and mini-courses led by participants.
The call for participation for this Trimester Program is open until March 14, 2027 (CET). Please visit the Indico application page for more details.
In case of questions concerning services and administration, please contact Emma Seggewiss.
Global Mobility Fellowships
Our Global Mobility Fellowships offer fully-funded and fully-organized visits to the Trimester Programs of the Hausdorff Research Institute for Mathematics and participation spots for the Special Topic Schools of the Hausdorff School for Mathematics for selected researchers and PhD students from countries of the Global South. With this program we aim to reduce economic and practical barriers to participation in some of the core initiatives of HCM and to welcome researchers from around the world to our programs and events!
Click here for further information.
In case of questions, please contact Magdalena Balcerak Jackson or Emma Seggewiss.
September 20 - 24, 2027
Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn
Organizers: Paola F. Antonietti (Politecnico di Milano), Joscha Gedicke (University of Bonn), Lorenzo Mascotto (University of Milano-Bicocca)
Speakers:
- Anna Balci (Charles University, Prague)
- Gabriel Barrenechea (University of Strathclyde, Glasgow)
- Ricardo Ruiz Baier (Monash University, Melbourne)
Description: The thematic school covers modern, robust numerical methodologies designed to solve complex and nonlinear Partial Differential Equations (PDEs) where standard finite element methods (FEM) fall short. The program bridges rigorous mathematical analysis with advanced algorithmic design, exploring key core areas including: structure-preserving schemes that maintain discrete maximum principles and global bounds via linear and nonlinear viscosity; mixed finite element formulations for nonlinear multiphysics coupled with fixed-point contractivity analysis; nonconforming methods capable of overcoming the "energy gap" in models with nonstandard, anisotropic growth.
The School is aimed at PhD students and early-career researchers, typically within six years of completing their PhD. The call for participation will open after the application deadline for the Trimester Program.
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event. Beyond this, researchers from the HCM, in particular, early-career researchers, are welcome upon request.
October 18 - 22, 2027
Venue: Lipschitz-Saal, Endenicher Allee 60, Bonn
Organizers: Joscha Gedicke (University of Bonn), Mira Schedensack (Universität Leipzig)
Speakers (preliminary list):
- Eun-Jae Park (Yonsei University)
- Andreas Veeser (Università degli Studi di Milano)
- Rui Ma (Beijing Institute of Technology)
- Stefan Sauter (University of Zurich)
- Ilaria Perugia (University of Vienna)
- Lina Zhao (City University of Hong Kong)
Description: Since the 1950s, finite element methods have been a fundamental tool in the numerical approximation of partial differential equations. Nonconforming variants, in particular, offer significant advantages in various contexts, such as capturing shocks and discontinuities, managing complex geometries through adaptive mesh refinement and coarsening, ensuring physical conservation, and discretizing nonlinear problems. This conference will feature a wide range of advanced finite element techniques, including Discontinuous Galerkin (DG), Hybrid Discontinuous Galerkin (HDG), Crouzeix–Raviart, Hybrid High-Order (HHO), Virtual Element (VEM), and Trefftz methods, among others.
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event. Beyond this, researchers from the HCM, in particular, early-career researchers, are welcome upon request.
November 15 - 19, 2027
Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn
Organizers: Michele Botti (Politecnico di Milano), Lorenzo Mascotto (University of Milano-Bicocca)
Speakers (preliminary list):
- Abner J. Salgado (University of Tennessee)
- Cherif Amrouche (Université de Pau et des Pays de l'Adour)
- Gabriel Acosta Rodriguez (University of Buenos Aires)
- Pietro Zanotti (Università degli Studi di Milano)
- Ana Maria Alonso Rodriguez (University of Trento)
- Lars Diening (Bielefeld University)
- Jerome Droniou (CNRS)
- Ralf Hiptmair (ETH Zürich)
- Michael J. Neilan (University of Pittsburgh)
- Tabea Tscherpel (Technical University of Darmstadt)
Description: This workshop explores the application of continuous and discrete functional analysis tools to the numerical discretization of partial differential equations. Key topics include the construction of finite-dimensional exact sequences, and the study of right-inverses for differential operators and forms. Further focus is placed on functional inequalities in broken Sobolev spaces and their application to nonlinear problems, including Leray-Lions and non-Newtonian models, alongside the study of convergence under low data regularity. Discussions will also cover the K-method of interpolation, the challenges posed by the Lavrentiev gap, and the preservation of physical constraints in computational models.
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event. Beyond this, researchers from the HCM, in particular, early-career researchers, are welcome upon request.
December 13 - 17, 2027
Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn
Organizers: Paola F. Antonietti (Politecnico di Milano), Ilario Mazzieri (Politecnico di Milano)
Speakers (preliminary list):
- Daniel Peterseim (University of Augsburg)
- Barbara Verfürth (University of Bonn)
- Andrea Bonito (Texas A&M University)
- Federica Caforio (University of Graz)
- Luca Formaggia (Politecnico di Milano)
- Jie Shen (Eastern Institute of Technology)
- Thomas Wick (Leibniz University Hannover)
Description: Modern scientific and engineering challenges increasingly require accurate mathematical models and efficient numerical methods capable of handling coupled, multiphysics, and multiscale phenomena on complex domains. While advances in high-performance computing have enabled simulations of unprecedented size and resolution, the design of robust and scalable numerical techniques remains a central and evolving challenge.
This workshop aims to bring together researchers working at the forefront of modelling, analysis, and numerical approximation of interdisciplinary and real-world problems. Contributions are invited on a broad spectrum of topics, spanning both state-of-the-art computational modelling of differential problems as well as emerging areas, including hybrid, learning-based, data-driven and quantum computational approaches. Application domains will include advanced computational modeling of problems in engineering, geophysical systems, and the life sciences.
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event. Beyond this, researchers from the HCM, in particular, early-career researchers, are welcome upon request.
5 minute walk from Bonn central train station to HIM
Leave the station through the back exit into the street called Quantiusstrasse. Cross at the zebra crossing and turn left. Walk to the corner: the cross-street is the Poppelsdorfer Allee. Cross (careful of traffic from your left) and walk to the right up the Poppelsdorfer Allee, towards the Poppelsdorfer Castle in the distance. At the next intersection, continue straight on up the avenue. HIM is building No. 45 on the left side of Poppelsdorfer Allee behind the wrought iron gate.
The airport shuttle drops you in front of the central train station. Cross at the traffic light nearest you and take the escalator down to the underground passage. Go straight to the end of the passageway until you reach the street (Quantiusstrasse) and follow the directions above.
Please come to the Administration Office at Poppelsdorfer Allee 45 for an in-person check-in on the first working day of your stay.
If you are coming for a week-long event, such as a Workshop or School, please also register via the sign-in list.