|Multiscale Modelling, Multiresolution and Adaptivity|
|A meeting organized in association with the Newton Institute programme entitled Computational Challenges in Partial Differential Equations|
|Date:||April 7, 2003 - April 11, 2003|
|Location:||Newton Institute, Cambridge, United Kingdom|
|Special Fields:||Numerical Methods, Scientific Computing|
|Deadlines:||November 15, 2002 (abstract)|
|Type of Event:||Conference, International|
Mark Ainsworth (University of Strathclyde, UK)
Eberhard Bänsch (University of Berlin, Germany)
Franco Brezzi (University of Pavia, Italy)
Claudio Canuto (Politecnico di Torino, Italy)
Carsten Carstensen (University of Vienna, Austria)
Albert Cohen (University of Paris, France)
Wolfgang Dahmen (University of Aachen, Germany)
Ron DeVore (University of South Carolina, USA)
Weinan E (Princeton University, USA)
Björn Engquist (Princeton University, USA; KTH Stockholm, Sweden)
Tom Hou (Caltech, USA)
Claes Johnson (Chalmers University Göteborg, Sweden)
Rolf Rannacher (Heidelberg University, Germany)
Christoph Schwab (ETH Zürich, Switzerland)
Jinchao Xu (Penn State University, USA)
Theme of Conference:
Many computationally challenging problems that arise in science and engineering exhibit multiscale behaviour. Relevant examples of practical interest include: structural analysis of composite and foam materials, fine-scale laminates and crystalline microstructures, flow through porous media, dendritic solidification, turbulent transport in high Reynolds number flows, weather forecasting, large-scale data visualization, spray combustion and detonation, many-body galaxy formation, large-scale molecular dynamic simulations, ab-initio physics and chemistry, and a multitude of others.
In stark contrast with the multiscale behaviour exhibited by such problems, classical computational methods for the numerical simulation of multiscale physical phenomena have been designed to operate at a certain preselected scale fixed by the choice of a discretisation parameter. As a result of this, the task of numerically computing or even representing all of the physically relevant scales present in the problem by classical numerical techniques results in excessive algorithmic complexity. The consequential difficulties manifest themselves in various guises: An attempt to represent all relevant scales in the physical model may lead to an extremely large set of unknowns, requiring a tremendous amount of computer memory and CPU time; For certain multiscale problems one is not actually interested in the fine scale information; however, due to the presence of nonlinearities in the model, the effect of the fine, unresolvable scale information on coarse scales cannot be ignored and must be precisely incorporated in order to achieve physically meaningful computational results; Exacerbating the computational problem is the fundamental question of optimal data representation for multiscale problems where it is known that even modern wavelet basis representations can yield overall suboptimal algorithmic complexity when the quantity of interest contains embedded low-dimensional manifolds across which the function or its derivatives exhibit discontinuities (as is the case in nonlinear hyperbolic conservation laws, for example).
Thus far, there has been little interaction between these communities despite a considerable overlap in their scientific objectives. The aim of the meeting is to stimulate interactions and cross-fertilisation between the various subject areas involved, an assessment by leading researchers of the state-of-the-art in the field, identification of key problems and obstacles to progress, and indication of promising directions for future research.
Structure of the meeting:
15 one-hour in-depth invited lectures from leading specialists (with 3 invited lectures scheduled for each of the 5 days),
17 thirty-minute contributed talks chosen from abstract submissions; abstracts will be competitively selected, with the possibility of adding an optional poster session. Short abstracts of 500 words or less are requested, for submission to the Scientific Committee on or before 15 November, 2002 with selected abstracts announced by 15 December, 2002.
5 one-hour coordinated discussion sessions with a preselected topical subject area; the subjects of these will be identified 6 months before the meeting to ensure that they are of current research interest; the topics will be chosen in consultation with the invited speakers, some of whom will be asked to act as moderators for the discussion sessions.
4 two-hour informal breakout sessions and informal time for researchers from various disciplines to explore (and exchange ideas about) future solutions to currently unsolved problems.
a thirty-minute closing session to summarise the outcome of the meeting and identify major open problems.
Schedule of the meeting:
|Event record first posted on September 24, 2002, last modified on September 24, 2002|