Mathematics: Analysis, Modeling, Optimization and Simulation (MAMOS) Workshop, October 15-26, 2007

1 Nov 2007

The MAMOS Workshop took place the sixth floor seminar room ACES 6.304 of the Institute for Computational Engineering and Science on the campus of the University of Texas at Austin.

It consisted of 28 plenary lectures delivered by well-known specialists in central areas of non linear science from participating universities in Portugal, Carnegie Mellon University, Rice University. University of Houston, Texas A&M University, and the University of Texas at Austin. These talks included multiscale modeling of complex systems, metamodels for oil reservoir parameter estimation, derivative-free optimization of expensive models, seismic inverse scattering, topology optimization of structure and materials, cancerigenous cells, multiphase problems and related topics in computational science.

Lectures were heavily attended (on the order of fifty to sixty participants), and they were very lively with scientific exchanges during and after the lectures.

Assistant professors that will spend the spring semester at UT Austin made contact with the research groups of their interest and established contact with their mentors (Luis Caffarelli, Misha Vishik and Mary Wheeler).

Scientific exchanges were initiated (F. Chalub and I. Gamba), and detailed mathematical consultation on problems in biomathematics and medical imaging occurred between Isabel Figueiredo from the University of Coimbra and Omar Ghattas, Chandrajit Bajaj, Richard Tsai and Bjorn Engquist from Texas. Tentative exchanges were discussed, including a visits to UT Austin to start collaborations with Luis Caffarelli, and the possibility for Caffarelli and Gamba to spend a month in Lisbon on 2009.

There was also the opportunity that students and faculty from the four Portuguese universities will attend the course that P-L Lions (College de France) will deliver in Austin this winter.

Among the participants were Irene Fonseca, David Kinderlehrer and Robert Pego from the CMU program, and the opportunity was used to discuss ways to improve the programs and enhance cooperation between the two CoLab initiatives.

Funding for the MAMOS workshop is provided by the Research and Collaboration Agreement between the Portuguese Science and Technology Foundation (FCT) and the University of Texas.

Program

Part I: Numerical Simulation and Optimization October 15 - 17 Omar Ghattas, University of Texas at Austin Luís Nunes Vicente, Universidade de Coimbra

Part II: Dynamics, Patterns and Structures October 17 - 19 Rafael de la Llave, University of Texas at Austin Diogo Gomes, Instituto Superior Técnico de Lisboa

Part III: Individual Interactions & Collaborations October 22 - 26

Monday, October 15, 2007
10-11
Matthias Heinkenschloss
Rice University
Inexact Sequential Quadratic Programming Methods for the Solution of Nonlinear Optimal Control Problems
11-12
Wolfgang Bangerth
Texas A&M University
Numerical methods for inverse problems
2:30-3:30
J. Tinsley Oden
Director, Institute for Computational Engineering and Sciences
University of Texas at Austin
Multiscale modeling of complex systems
3:30-4:30
Isabel N. Figueiredo
Universidade de Coimbra
Optimization models in piezoelectricity
5:15-7:00
RECEPTION: ACES Connector Lobby

Tuesday, October 16, 2007
10-11
Luís Nunes Vicente
Universidade de Coimbra
Derivative-free optimization of expensive functions
11-12
Hector Klie/Mary Wheeler
University of Texas at Austin
Stochastic Optimization and Metamodels for Oil Reservoir Parameter Estimation
2:30-3:30
Leszek Demkowicz
University of Texas at Austin
Application of hp-Adaptivity to Coupled Wave Propagation Problems
3:30-4:30
Ronald Hoppe
University of Houston/University of Augsburg Adaptive Multilevel Path-Following Primal-Dual Interior-Point Methods in PDE Constrained Optimization

Wednesday, October 17, 2007
9-10
William Symes
Rice University
Model extensions and seismic inverse scattering
10:30-11:30
Clint Dawson
University of Texas at Austin
Inverse modeling and parameter estimation
11:30-12:30
Omar Ghattas
University of Texas at Austin
Toward Bayesian estimation for large-scale inverse problems
Dynamics, Patterns and Structures
2:00-3:00
Helder Rodrigues
Instituto Superior Técnico
A hierarchical model for topology optimization of structure and material
3:00-4:00
Margarida Baía
Instituto Superior Técnico
Characterization of two-scale Young-measures and applications
4:00-5:00
Anca-Maria Toader
Universidade de Lisboa
Shape and topology optimization in structural mechanics

Thursday, October 18, 2007
9-10
José Francisco Rodrigues
Universidade de Lisboa
Constrained reaction-diffusion systems and related multiphase problems
10:30-11:30
Jim Meiss
University of Colorado at Boulder
Dynamics and Bifurcations of Volume-Preserving Maps
11:30-12:30
Takis Souganidis
University of Texas at Austin
Random homogenization: theory and applications
2:00-3:00
Xiaoping Yuan
Fudan University
KAM theory and quasi-periodic solutions of nonlinear partial differential equations
3:00-4:00
Fabio Chalub
Universidade Nova de Lisboa
Models for genetic evolution in large populations
4:00-5:00
Juan Luis Vazquez, Univ. Aut. de Madrid
Large time asymptotics for fast diffusion equations: the role of critical exponents.
 
Friday, October 19, 2007
9-10
Irene Gamba
University of Texas at Austin
Analytical issues on particle interactions models of Boltzmann type
10:30-11:30
Chongchun Zeng
Georgia Institute of Technology
Approximately invariant manifolds and dynamic spike solutions of singular parabolic equation
11:30- 12:30
Misha Vishik
University of Texas at Austin
Existence, uniqueness and stability for incompressible flows of an ideal fluid
2:00-3:00
José Miguel Urbano
Universidade de Coimbra
A systematic approach to regularity for nonlinear pdes arising in the modeling of chemotaxis, immiscible fluids and phase transitions
3:00-4:00
David Kinderleher, Carnegie Mellon
TBA
4:00-5:00
Irene Fonseca, Carnegie Mellon
Variational Methods in Materials and Imaging
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