Prediction and Data Assimilation for Nonlocal Diffusions
4 - 5 June 2018
University of Edinburgh, Appleton Tower, room 2.12, 11 Crichton Street, Edinburgh, EH8 9LE
Organizer: | Michal Branicki | (University of Edinburgh) |
| m.branicki (at) ed.ac.uk | |
Speakers: | Ali Aydogdu | (NERSC, Norway) |
| Wietse Boon | (University of Stuttgart) |
| Alberto Carrassi | (NERSC, Norway) |
| Ahmed El Sheikh | (Heriot-Watt University) |
| Heiko Gimperlein | (Heriot-Watt University) |
| Daniel Goldberg | (University of Edinburgh) |
| Denny Kirwan | (University of Delaware) |
| Kody Law | (University of Manchester) |
| James Maddison | (University of Edinburgh) |
| Erdogan Madenci | (University of Arizona) |
| Erkan Oterkus | (University of Strathclyde) |
| Roland Potthast | (Deutscher Wetter Dienst and University of Reading) |
| Abner Salgado | (University of Tennessee, Knoxville) |
| Christian Sampson | (SAMSI, University of North Carolina) |
| Jana de Wiljes | (University of Potsdam) |
| Sergiy Zhuk | (IBM Research) |
|
| |
The aim of the workshop is to gather researchers interested in the recent developments in
variational analysis and data assimilation for nonlocal diffusion problems given by linear integro-differential
equations on bounded domains. The nonlocal operators associated with such problems arise in many applications ranging from continuum mechanics to graph theory; a topical application area is crack nucleation
and propagation which is increasingly important for understanding and modelling the large-scale dynamics
of sea ice in the Arctic. The workshop will focus on a set of intertwined issues ranging from the numerical
modelling of integro-differential systems under uncertainty, to well-posedness of local and nonlocal operators with random parameters, to (Lagrangian-type) data assimilation on the nodes time-dependent random
graphs. In the presence of model uncertainties a number of important problems need to be addressed:
(i) Appropriate (stochastic) parameterisation the underlying integral operators.
|
|
(ii) Choice of the necessary data-adapted discretisation for approximating time-dependent models for
crack propagation and their capture.
|
|
(iii) Aiding the procedures in (i)-(ii) via Bayesian data assimilation and appropriate Markov Chain
Monte Carlo (MCMC), and Multi Level Sequential Monte Carlo sampling (MLSMC).
|
|
(iv) Derivation of criteria for stability, accuracy and quantification of uncertainty due to the parameterisation and/or the necessary discretisation of nonlocal problems.
It is expected that this workshop will serve as a nucleus for developing new research directions and collaborations in the area of modelling and prediction of non-local dynamical problems which fall into the large
class of anomalous diffusion problems driven by dynamic streams of data. |
| |
| |
| |
| |
| |
Information about travel to Edinburgh can be found here. |
| |
| |
| |
| |
Monday | (room 2.12, Appleton Tower) | |
9.15 | Registration and coffee | |
| |
9.30 | opening remarks | |
| | |
9.40 | Ali Aydogdu | Some aspects of ensemble prediction and data
|
| and Alberto Carrassi | assimilation using a Lagrangian model of sea-ice |
| | |
10.20 | Christian Sampson | Toward a metric for evaluating sea ice fracture forecast |
| | |
11.00 | coffee break | |
| | |
11.30 | Daniel Goldberg | Ice shelf rifting: Constitutive modelling, satellite data assimilation, and connections
to fracture mechanics |
| | |
12.00 | Ahmed El Sheikh | Generation of stochastic fields using generative adversarial networks with applications to geological modelling |
| | |
12.30 | Denny Kirwan | Prediction and Data Assimilation: Ocean vs. Arctic Sea Ice |
| | |
13.00 | lunch break | |
| | |
14.20 | Abner Salgado | Optimization with respect to order in a fractional diffusion model:
analysis and approximation |
| | |
15.00 | Heiko Gimperlein | Adaptive finite element methods for nonlocal problems |
| | |
15.40 | coffee break | |
| | |
16.10 | Erdogan Madenci | Peridynamics for paradigm shift in computational methods |
| | |
16.50 | James Maddison | PDE constrained Hessian action information for
time dependent finite element models |
| | |
| | |
19.45 | conference dinner | Howies (10-14 Victoria St, Edinburgh EH1 2HG) |
| | |
| | |
Tuesday | (room 2.12, Appleton Tower) | |
9.40 | Roland Potthast | Data Assimilation and Kernel Reconstruction for Nonlocal Field Dynamics |
| |
10.20 | Jana de Wiljes | Linear ensemble transform filters and smoothers |
| | |
11.00 | coffee break | |
| | |
11.30 | Kody Law | Strategies for multilevel Monte Carlo |
| | |
12.10 | Sergiy Zhuk | Geometry of data assimilation for non-linear differential equations |
| | |
12.50 | lunch break | |
| | |
13.50 | Wietse Boon | Flow and Mechanics in Fractured Media as Mixed-Dimensional PDEs |
| | |
14.30 | Erkan Oterkus | Peridynamics for Modelling Ice Fracture |
| | |
15.10 | discussions | |
| | |
| | |
|