Introduction to Uncertainty Quantification in Mechanics of Materials

Workshop theme

This summer school will provide a thorough introduction to the material standing at the core of the USM programme. Lectures will cover state-of-the-art techniques and methodologies for stochastic modeling, uncertainty propagation and inverse problems, as well as emerging methods for adaptivity and probabilistic learning. A broad array of applications will be presented, ranging from UQ-informed materials design to the stochastic modeling of complex, multiscale physical systems.

The workshop is suited in particular for PhD students, postdocs and academic researchers from computational engineering, materials science, mathematics, and statistics.

Fees

Registration Only

Registration Package: £ 218
Student Registration Package: £ 168

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only

Formal Dinner: £ 60

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.

Please see the Hotels Combined website for a list of local hotels and guesthouses.

Meals

Lunch

Lunch timings and location will be confirmed with timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner location and date is to be confirmed. Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

Timetable

Monday 10th July 2023
09:30 to 09:55	Registration and Refreshments	No Room Required
09:55 to 10:00	Welcome talk	No Room Required
10:00 to 11:00	Johann Guilleminot Duke University Showcase Applications	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Christian Soize Université Gustave Eiffel Introduction to Stochastic Modeling and MCMC methods	Room 1
12:15 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Roger Ghanem University of Southern California Polynomial Chaos Expansions - Basics	Room 1
14:30 to 15:30	Catherine Powell University of Manchester A Posteriori Error Estimation for Finite Element Approximations of Deterministic PDEs	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Christian Soize Université Gustave Eiffel Probabilistic and Statistical Tools 1	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 11th July 2023
09:00 to 10:00	Catherine Powell University of Manchester Numerical Analysis of Parametric PDEs	Room 1
10:00 to 11:00	Christian Soize Université Gustave Eiffel Probabilistic and Statistical Tools 2	Room 1
11:00 to 11:15	Group Photo and Morning Coffee	No Room Required
11:15 to 12:15	Roger Ghanem University of Southern California PCE - Adaptation	Room 1
12:15 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Catherine Powell University of Manchester Stochastic Galerkin and Collocation Finite Element Methods for Parametric PDEs	Room 1
14:30 to 15:30	Duc-Lam Duong LUT University Contributed talk: Stability estimates for the optimal experimental design in Bayesian inverse problems	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Igor Podlubny Technical University of Kosice Contributed talk: Porous functions: a tool for modelling real materials with uncertainties	Room 1

Wednesday 12th July 2023
09:00 to 10:00	Christian Soize Université Gustave Eiffel Random Fields: Modeling and Identification	Room 1
10:00 to 11:00	Catherine Powell University of Manchester Adaptive SG-FEM Approximation for Parametric Elliptic PDEs	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Roger Ghanem University of Southern California PCE - Data Assimilation	Room 1
12:15 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 17:00	Free Afternoon	Room 1
19:30 to 22:00	Formal Dinner at Trinity College	No Room Required

Thursday 13th July 2023
09:00 to 10:00	Catherine Powell University of Manchester Adaptive SC-FEM Approximation for Time-Dependent Parametric PDEs	Room 1
10:00 to 11:00	Roger Ghanem University of Southern California PCE - Model Error	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Andrew Stuart CALTECH (California Institute of Technology) Bayesian Formulation and Well-Posedness	Room 1
12:15 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Andrew Stuart CALTECH (California Institute of Technology) Monte Carlo Markov Chain	Room 1
14:30 to 15:30	Wei Chen Northwestern University Data-Driven Adaptive Discovery and Design of Multiscale Material Systems under Uncertainty	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Lori Graham-Brady Johns Hopkins University Data-Driven UQ-Enhanced Approaches for Materials Design	Room 1

Friday 14th July 2023
09:00 to 10:00	Christian Soize Université Gustave Eiffel Probabilistic Learning on Manifolds (with Applications)	Room 1
10:00 to 11:00	Angela Mihai Cardiff University Instabilities in Liquid Crystal Elastomers	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Andrew Stuart CALTECH (California Institute of Technology) Ensemble Kalman Approaches	Room 1
12:15 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Andrew Stuart CALTECH (California Institute of Technology) Acceleration Using Machine Learning	Room 1
14:30 to 15:30	Roundtable Discussion	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required

Uncertainty quantification and stochastic modelling of materials

Organisers

Johann Guilleminot Duke University

Speakers

Wei Chen Northwestern University
Duc-Lam Duong LUT University
Roger Ghanem University of Southern California
Lori Graham-Brady Johns Hopkins University
Johann Guilleminot Duke University
Angela Mihai Cardiff University
Igor Podlubny Technical University of Kosice
Catherine Powell University of Manchester
Christian Soize Université Gustave Eiffel
Andrew Stuart CALTECH (California Institute of Technology)

Introduction to Uncertainty Quantification in Mechanics of Materials

Workshop theme

Timetable

Organisers

Speakers

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