Universität Bonn

Workshop on Non-local Material Models and Concurrent Multiscale Methods


April 3-7, 2017

HIM Lecture Hall,  Poppelsdorfer Allee 45

Organizers: 

Susanne C. Brenner, Björn Engquist, Max Gunzburger, Daniel Peterseim, Marc Alexander Schweitzer


Schedule

Monday, April 3

10:15 - 10:50 Registration & Welcome coffee
10:50 - 10:55 Opening remarks
10:55 - 11:45 Ricardo Nochetto: Two-scale FEMs for non-variational elliptic PDEs and pointwise convergence rates
11:45 - 12:35 Wei Zhao: Localized radial basis functions-based pseudo-spectral method (LRBF-PS) for nonlocal diffusion problems
12:35 - 14:20 Lunch break
14:20 - 15:10 Xiaochuan Tian: Asymptotically Compatible Discretization of Nonlocal Variational Problems
15:10 - 16:00 Markus Schmuck: Porous media approximation of phase-field equations for interfacial dynamics
16:00 - 16:30 Tea and cake
16:30 - 17:20 Jiun-Shyan Chen: Fracture to Damage Multiscale Mechanics and Modeling of Brittle Materials
afterwards Reception

Tuesday, April 4

09:30 - 10:20 John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures
10:20 - 10:50 Group photo and coffee break
10:50 - 11:40 Pablo Seleson: Concurrent Multiscale Methods for Local/Nonlocal Coupling
11:40 - 12:30 Jeremy Trageser: Anisotropic Linearized Peridynamic Models
12:30 - 14:20 Lunch break
14:20 - 15:10 Guanglian Li: Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d
15:10 - 16:00 Mira Schedensack: Relaxing the CFL condition for the wave equation on adaptive meshes
16:00 - 16:30 Tea and cake
16:30 - 17:20 Anter El-Azab: Mesoscale crystal plasticity based on continuum dislocation dynamics: mathematical formalism and numerical solution

Wednesday, April 5

09:00 - 09:50 Wing Kam Liu: Self-consistent clustering analysis for data-driven design of multiscale material systems
09:50 - 10:40 Jiang Yang: Asymptotically compatible discretization of nonlocal models: quadrature-based finite difference and Fourier spectral methods
10:40 - 11:10 Coffee break
12:00 - 18:00 Excursion on the Rhine

Thursday, April 6

09:30 - 10:20 Michael Ortiz: Deformation microstructure, relaxation and numerical approximation
10:20 - 10:50 Coffee break
10:50 - 11:40 Marta D'Elia: A coupling strategy for nonlocal and local models with applications to static peridynamics and classical elasticity
11:40 - 12:30 Marc Alexander Schweitzer: tba
12:30 - 14:20 Lunch break
14:20 - 15:10 Juan Carlos De los Reyes: Bilevel learning approaches in variational image processing: From local to non-local models
15:10 - 16:00 Panayot Vassilevski: Spectral upscaling for graph Laplacian problems with application to reservoir simulation
16:00 - 16:30 Tea and cake
18:30 - Conference dinner in the Restaurant "Brauhaus Bönnsch" (Sterntorbrücke 4)

Friday, April 7

09:30 - 10:20 Soeren Bartels: Numerical solution of a BV regularized damage evolution model
10:20 - 10:50 Coffee break
10:50 - 11:40 Benjamin Stamm: A perturbation-method-based post-processing of planewave approximations for Density Functional Theory (DFT) models
11:40 - 12:30 Dietmar Gallistl: On quasi-local discrete models in numerical homogenization
12:30 End of the workshop

Participants

Person
Affiliation
Period of stay
Adeleke Olusegun Bankole Universität Hamburg
Gabriel R. Barrenechea University of Strathclyde
Soeren Bartels Albert-Ludwigs-Universität Freiburg
Susanne Brenner Louisiana State University
Carsten Carstensen Humboldt-Universität zu Berlin
Jiun-Shyan Chen University of California, San Diego
Nicole Cusimano Basque Center for Applied Mathematics
Marta D'Elia Sandia National Laboratories
Juan Carlos De los Reyes Escuela Politécnica Nacional
Bjorn Engquist University of Texas at Austin
John Foster The University of Texas at Austin
Dietmar Gallistl Karlsruher Institut für Technologie
Joscha Gedicke Universität Wien
Emmanuil Georgoulis University of Leicester and National Technical University of Athens
Max Gunzburger Florida State University
Illia Karabash Institute of Applied Mathematics and Mechanics of NAS of Ukraine
Fotini Karakatsani University of Chester
Guanglian Li Universität Bonn
Wing Kam Liu Northwestern University
Ricardo Nochetto University of Maryland
Michael Ortiz Universität Bonn
Eun-Jae Park Yonsei University
Anna Persson Chalmers University of Technology
Daniel Peterseim Universität Augsburg
Mira Schedensack Humboldt-Universtität zu Berlin
Markus Schmuck Maxwell Institute for Mathematical Sciences and School for Mathematical and Computer Sciences
Marc Alexander Schweitzer Universität Bonn
Pablo Seleson Oak Ridge National Laboratory
Benjamin Stamm RWTH Aachen University
Christian Stohrer Karlsruher Institut für Technologie (KIT)
Li-yeng Sung Louisiana State University
Xiaochuan Tian Columbia University
Jeremy Trageser The George Washington University
Dora Varga Universität Bonn
Panayot Vassilevski Portland State University
Barbara Verfürth Universität Münster
Jiang Yang Columbia University
Wei Zhao Max Planck Institute for Dynamics of Complex Technical Systems
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