UQ: Models with Complex and Uncertain Domains - March 22-23, 2012

Workshop Information

March 22, 2012 - 8:30am - March 23, 2012 - 12:00pm

Location: SAMSI

Classic error quantification for differential equations focused on the effects of discretization on the accuracy of computed solutions. In modern uncertainty quantification, the focus widened considerably to account for the effects of (stochastic) uncertainty and variation in data, boundary conditions, and coefficients of differential equations. This reflects the practical issues that arise in the practical application of differential equation models, which involves the use of experimental and observational data to populate initial data, boundary conditions, and coefficients. However, the vast majority of the theoretical work has considered models posed on simple domains with simple boundaries; domains that are rarely seen in practical applications.

The goals of this SAMSI Workshop are to (1) expose problems in which uncertainty and variation in the domain and/or domain boundary geometry is an important issue, (2) discuss ways that these problems have been tackled mathematically and statistically, (3) identify areas of future need and opportunity. It is aimed at an interdisciplinary participation.

APPLICATION

To begin the application process login and register, then click on "Apply for Workshop" button at the top of this page. When you have completed the form, be sure to click on the green "Submit" button.

This form also includes the application for financial support. You will be notified as soon as possible after your application if your participation will be possible; regrettably, limited seating will preclude acceptance of all applications. New researchers (graduate students, postdocs, and faculty in the early stages of their careers) and members of underrepresented groups are especially encouraged to apply.

The application/registration deadline is February 24, 2012. Note, however, that capacity might be reached before this deadline. Also, any application that requests support for expenses should typically be submitted at least 6 weeks in advance of the workshop.

After SAMSI has accepted your participation in the workshop, you may access the payform here.

Please make reservations at the Radisson RTP as soon as possible. The SAMSI room block and rate ($109) is effective until February 24, 2012. After this date, there is no guarantee a room will be available. If you have a change in plans, individual room reservations must be cancelled 72 hours prior to arrival. Check-in is at 3:00 PM; check-out is 12:00 noon.

If you need further information please send an email to [email protected].

 

Schedule

Thursday, March 22, 2012
at SAMSI

8:30-8:55 a.m. Registration and Continental Breakfast
8:55-9:00 Introduction and Welcome
Pierre Gremaud, SAMSI
9:00-9:45 Olivier Pinaud, Stanford University
Waves in Random Environments and Imaging
9:45-10:30 Nate Burch, SAMSI
Nonparametric Density Estimation for Elliptic Problems on Uncertain Domains
10:30-11:00 Break
11:00-11:45 Ilenia Battiato, Clemson University
Multiscale Models for Transport Processes in Complex Geometries: Applications to Porous and Granular Media
11:45-12:30 Discussion 1 (problem formulation, role of data, limitations)
Don Estep, Colorado State University and Dongbin Xiu, Purdue University
12:30-2:00 Lunch
2:00-2:45 Alan Demlow, University of Kentucky
Adaptive Surface Finite Element Methods
2:45-3:30 Will Newton, Colorado State University
Adjoint-Based a Posteriori Error Estimate For The Poisson Problem on Closed, Two-Dimensional Surfaces
3:30-4:00 Break
4:00-4:45 Will Cousins, North Carolina State University
Outflow Boundary Conditions For Hemodynamic Modeling
5:00-7:00 Poster Session and Reception

SAMSI will provide poster presentation boards and tape. The board dimensions are 4 ft. wide by 3 ft. high. They are tri-fold with each side being 1 ft. wide and the center 2 ft. wide. Please make sure your poster fits the board. The boards can accommodate up to 16 pages of paper measuring 8.5 inches by 11 inches.

Friday, March 23, 2012
at SAMSI

8:30-8:55 a.m. Registration and Continental Breakfast
9:00-9:45 Eugene Morgan, Duke/SAMSI
Mapping Landslide Hazard over a Nonstationary Space
9:45-10:30 Daniel Tartakovsky, University of California-San Diego
Differential Equations on Random Domains
10:30-11:00 Break
11:00-11:50 Discussion 2 (common issues, common tools?)
Don Estep, Colorado State University and Dongbin Xiu, Purdue University
11:50-12:00 Closing Remarks
Pierre Gremaud, SAMSI
12:00 Lunch