Entrance hall of the ICMS

Adaptivity, robustness and complexity of multiscale algorithms

Mar 30, 2009 - Apr 03, 2009

14 India Street, Edinburgh EH3 6EZ

Organisers

Name Institution
Abdulle, Assyr École Polytechnique Fédérale de Lausanne
Enguist, Bjorn The University of Texas at Austin
Stuart, Andrew University of Warwick

 

Multiscale or multi-physics modelling play a major role in the modelling of many important problems arising in the geosciences, atmospheric sciences, physical sciences, chemistry, biology and medicine. The past few years has seen new mathematical and computational frameworks emerging to address the challenge of multiscale computation. However, many major problems need still to be addressed and we will focus in this workshop on the issues of adaptivity, robustness and complexity in multiscale modeling and computation.

The purpose of the meeting is to bring together experts (both international leaders and promising young researchers) from several mathematical communities (a posteriori analysis, computational methods for stochastic and multiscale problems, homogenization) and provide an unique opportunity for exchange of ideas, presentation and dissemination of new results likely to contribute to a better understanding of the aforementioned challenging issues.

Numbers will be limited and participation is by invitation only.

This workshop is supported by:

EPSRC
SFC
LMS
Edinburgh Mathematical Society
Glasgow Mathematical Journal Trust

PDF file of full report.

Arrangements

Participation
Participation is by invitation only. The workshop will begin on Monday 30 March and finish on Friday 3 April 2009.

UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one. If you do require a visa, ICMS can provide a signed invitation letter.

Venue
The workshop will take place at the head-quarters of ICMS, 14 India Street, Edinburgh. This house is the birthplace of James Clerk Maxwell and is situated in the historic New Town of Edinburgh, near the city centre.

The ICMS travel pages contain advice on how to travel to Edinburgh. For local information the finding ICMS page shows the location of ICMS and contains useful maps of the city centre.

The seminar room at ICMS has 4 whiteboards, 2 overhead projectors, a data projector and laptop. If you are giving a talk we ask that you use our ICMS laptop and bring your talk on a memory stick or CD. If you wish your talk to be pre-loaded onto our laptop, you may email it in advance to Johanna Kytöharju .

Wireless access is available throughout the ICMS building. There are also 4 public PCs which may be used at any time for internet access and to check email.

Accommodation
ICMS will arrange single en-suite rooms in local guest houses for those who require it. Accommodation is typically about 15 to 30 minutes walk from ICMS. Participants are also free to make their own arrangements and may claim back the cost, with receipts, up to a maximum of £65.00 a night for up to 6 nights. A list of Edinburgh accommodation of various sorts and prices is available here . Sections 1-3 are particularly relevant.

Meals and Refreshments
There will be an informal wine reception after the close of lectures on Monday 30 March.

Morning and afternoon refreshments will be provided on each day of the workshop.

Buffet lunches will be provided on only Monday 30 March, Wednesday 1 April and Friday 3 April at no cost to participants. For the remainder of the days, participants are free to go out for lunch and explore the many cafés, sandwich shops, restaurants and bars nearby. On arrival we will provide you with a ‘welcome’ pack which will contain information about eating places nearby.

On Tuesday 31 March a mezze style evening meal will be provided in Nargile Turkish Restaurant, 73 Hanover Street, at 19.00. The workshop dinner will take place at 19.00 at The Magnum Restaurant, 1 Albany Street, on the evening of Thursday 2 April. The workshop grant will cover the cost of these meals.

Registration
Registration will take place on Monday 30 March from 9.00 to 10.30 at ICMS.

Financial Arrangements
Unless otherwise specified in your invitation letter, the workshop grant will cover the cost of your bed and breakfast accommodation, tea/coffee throughout the workshop, lunch on Monday, Wednesday and Friday only, the wine reception, the informal supper on Tuesday and the Workshop Dinner on Thursday evening.

If we have agreed to pay some of your travel costs, you will be informed by email. Reimbursement will take place after the workshop. At Registration you will be given an expenses claim form and this should be submitted to ICMS, with receipts and bank details. Please note that we cannot reimburse any item without a receipt.

Programme

EACH TALK IS FOLLOWED BY A 10 MINUTE DISCUSSION.

Monday 30 March

09.00 - 10.30

Registration

10.30 - 11.05

Mitchell Luskin (University of Minnesota)
Predictive and efficient quasicontinuum methods

11.15 - 11.50

Pingbing Ming (Chinese Academy of Sciences)
Understanding quasicontinuum method: numerical analysis and beyond

12.00 - 14.00

Buffet lunch

14.00 - 14.35

Serge Prudhomme (The University of Texas at Austin)
Error estimation and adaptivity for atomistic-to-continuum coupling methods

14.45 - 15.20

Ping Lin (University of Dundee)
The quasi-continuum approximation and virtual internal bond model for material fracture

15.30 - 16.00

Tea/Coffee

16.00 - 16.35

Valery Smyshlyaev (University of Bath)
Homogenisation with "partial" degeneracies and applications

17.00 - 18.00

Wine reception at ICMS, 14 India Street

 

Tuesday 31 March

09.00 - 09.35

Greg Pavliotis (Imperial College London)
Parameter estimation for multiscale diffusions

09.45 - 10.20

Kostas Zygalakis (University of Oxford)
On the existence of modified equations for stochastic differential equations

10.30 - 11.00

Tea/Coffee

11.00 - 11.35

Omar Lakkis (University of Sussex)
Error control via elliptic reconstruction in some evolution equations

11.45 - 12.20

Gabriel Stoltz (École Nationale des Ponts et Chaussées)
Adaptive methods for computational statistical physics

12.30 - 14.00

Lunch

14.00 - 14.35

Phaedon-Stelios Koutsourelakis (Cornell University)
Bayesian reduced-order models for multiscale dynamical systems

14.45 - 15.20

Liliana Borcea (Rice University)
Filtering random effects in imaging

15.30 - 16.00

Tea/Coffee

16.00 - 16.35

Ibrahim Fatkullin (University of Arizona)
A computational strategy for multiscale systems with application to Lorenz 96 model

19.00 -

Informal evening meal at Nargile Turkish Restaurant, 73 Hanover Street

 

Wednesday 1 April

09.00 - 09.35

Bjorn Enguist (The University of Texas at Austin)
Analysis of heterogeneous multiscale methods

09.45 - 10.20

Marcus Grote (University of Basel)
Finite element heterogeneous multiscale method for the wave equation

10.30 - 11.00

Tea/Coffee

11.00 - 11.35

Olof Runborg (Royal Institute of Technology)
A multiscale method for the wave equation in heterogeneous medium

11.45 - 12.20

Richard Sharp (Carnegie Mellon University)
Macroscopic variables for numerical multiscale methods: applications to highly oscillatory ODEs

12.30 - 13.05

Richard Tsai (The University of Texas at Austin)
Numerical multiscale algorithms for highly oscillatory ODEs

13.15 - 14.30

Buffet lunch - Knowledge transfer networking event

 

Thursday 2 April

09.00 - 09.35

Rob Stevenson (Universiteit van Amsterdam)
Adaptive tensor product wavelet methods

09.45 - 10.20

Rob Scheichl (University of Bath)
Multilevel iterative solvers versus upscaling/multiscale techniques

10.30 - 11.00

Tea/Coffee

11.00 - 11.35

Ivan Graham (University of Bath)
A new multiscale finite element method for high-contrast elliptic interface problems

11.45 - 12.20

Alain Damlamian (Université Paris 12, Val de Marne)
The unfolding method as a way to homogenize known results

12.30 - 14.00

Lunch

14.00 - 14.35

Yalchin Efendiev (Texas A&M University)
Mixed multiscale finite element method using limited global information

14.45 - 15.20

Christoph Schwab (ETH Zurich)
Sparse adaptive tensor FEM for elliptic periodic multiscale problems

15.30 - 16.00

Tea/Coffee

16.00 - 16.35

Viet Ha Hoang (Nanyang Technological University)
Sparse finite element method for periodic multiscale nonlinear monotone problems

19.00 -

Workshop dinner at The Magnum Restaurant, 1 Albany Street

 

Friday 3 April

09.00 - 09.35

Ben Leimkuhler (University of Edinburgh)
Controlled variable molecular dynamics

09.45 - 10.20

Pingwen Zhang (Peking University)
Nucleation and boundary layer in diblock copolymer SCFT model

10.30 - 11.00

Tea/Coffee

11.00 - 11.35

Tiejun Li (Peking University)
Hybrid methods in simulating chemical kinetic systems

11.45 - 12.20

Tony Lelievre (École Nationale des Ponts et Chaussées)
Multiscale models for viscoelastic fluids and longtime behaviour

12.30 -

Buffet lunch and close of workshop


Presentations:

Presentation Details
Borcea, Liliana
Filtering random effects in imaging
View Abstract Down
Damlamian, Alain
The unfolding method as a way to homogenize known results
View Abstract Down
Efendiev, Yalchin
Mixed multiscale finite element method using limited global information
View Abstract Down
Enguist, Bjorn
Analysis of heterogeneous multiscale methods
View Abstract Down
Fatkullin, Ibrahim
A computational strategy for multiscale systems with application to Lorenz 96 model
View Abstract Down
Graham, Ivan
A new multiscale finite element method for high-contrast elliptic interface problems
View Abstract Down
Grote, Marcus
Finite Element Heterogeneous Multiscale Method for the Wave Equation
View Abstract Down
Hoang, Viet Ha
Sparse finite element method for periodic multiscale nonlinear monotone problems
View Abstract Down
Koutsourelakis, Phaedon-Stelios
Bayesian reduced-order models for multiscale dynamical systems
View Abstract Down
Lakkis, Omar
Computing the stochastic Allen - Cahn problem
View Abstract Down
Leimkuhler, Ben
Controlled variable molecular dynamics
View Abstract Down
Lelièvre, Tony
Multiscale models for viscoelastic fluids and longtime behaviour
View Abstract Down
Li, Tiejun
Hybrid methods in simulating chemical kinetic systems
View Abstract Down
Lin, Ping
The quasi-continuum approximation and virtual internal bond model for material fracture
View Abstract Down
Luskin, Mitchell
Predictive and efficient quasicontinuum methods
View Abstract Down
Ming, Pingbing
Understanding quasicontinuum method: numerical analysis and beyond
View Abstract Down
Pavliotis, Grigorios
Parameter estimation for multiscale diffusions
View Abstract Down
Prudhomme, Serge
Error estimation and adaptivity for atomistic-to-continuum coupling methods
View Abstract Down
Runborg, Olof
A multiscale method for the wave equation in heterogeneous medium
View Abstract Down
Scheichl, Rob
Multilevel iterative solvers versus upscaling/multiscale techniques
View Abstract Down
Schwab, Christoph
Sparse adaptive tensor FEM for elliptic periodic multiscale problems
View Abstract Down
Sharp, Richard
Macroscopic variables for numerical multiscale methods: applications to highly oscillatory ODEs
View Abstract Down
Smyshlyaev, Valery
Homogenisation with "partial" degeneracies and applications
View Abstract Down
Stevenson, Rob
Adaptive tensor product wavelet methods
View Abstract Down
Stoltz, Gabriel
Adaptive methods for computational statistical physics
View Abstract Down
Tsai, Richard
Numerical multiscale algorithms for highly oscillatory ODEs
View Abstract Down
Zhang, Pingwen
Nucleation and boundary layer in diblock copolymer SCFT model
View Abstract Down
Zygalakis, Kostas
On the existense of modified equations for stochastic differential equations
View Abstract Down

Participants

Name Institution
Abdulle, Assyr École Polytechnique Fédérale de Lausanne
Ainsworth, Mark University of Strathclyde
Borcea, Liliana Rice University
Cliffe, Andrew University of Nottingham
Damlamian, Alain Université Paris 12 Val de Marne
Efendiev, Yalchin Texas A&M University & KAUST
Enguist, Bjorn The University of Texas at Austin
Fatkullin, Ibrahim University of Arizona
Ferro, Maria Università di Napoli 'Federico II'
Gelder, David Mathematics for Manufacturers
Graham, Ivan University of Bath
Grote, Marcus University of Basel
Hoang, Viet Ha Nanyang Technological University
Koutsourelakis, Phaedon-Stelios Cornell University
Lakkis, Omar University of Sussex
Leimkuhler, Ben University of Edinburgh
Lelièvre, Tony École Nationale des Ponts et Chaussées
Li, Tiejun Peking University
Lin, Ping University of Dundee
Liu, Yi G AWE plc
Lord, Gabriel Heriot-Watt University
Luskin, Mitchell University of Minnesota
Ming, Pingbing Chinese Academy of Sciences
Nguetseng, Gabriel University of Yaoundé I
Nonnenmacher, Achim EPFL (Swiss Federal Institute of Technology)
Noorizadeh, Emad University of Edinburgh
Pavliotis, Grigorios Imperial College London
Prudhomme, Serge The University of Texas at Austin
Runborg, Olof Royal Institute of Technology
Scheichl, Rob University of Bath
Schwab, Christoph ETH Zurich
Sharp, Richard Carnegie Mellon University
Sickenberger, Thorsten Heriot-Watt University
Smyshlyaev, Valery UCL
Stevenson, Rob Universiteit van Amsterdam
Stoltz, Gabriel École des Ponts ParisTech
Stuart, Andrew University of Warwick
Tsai, Richard The University of Texas at Austin
Zhang, Pingwen Peking University
Zygalakis, Kostas University of Oxford