PDE-Control Seminar

Optimization problems with partial differential equation (PDE) constraints is a fast growing mathematical field that has a wide range of applications, such as shape optimization, parameter estimation, image denoising, fluid flow control, vascular surgery, crystal growths, etc. The field of PDE constrained optimization requires expertise in several branches of mathematics: PDEs, continuous and discrete optimization, linear and non-linear functional analysis, numerical analysis, and scientific computing. The research in this field offers a wide variety of exciting problems, challenging both computationally and analytically.

The aim of this series is to bring together several of our faculty and students and learn new topics on the subjects mentioned above, which are usually not covered in a regular course.

Faculty members involved are: H. Antil, I. Griva. Questions and suggestions on possible new topics should be addressed to H. Antil or Ratna Khatri.

Everyone is Welcome to Attend!

We meet on Mondays, 10:00 am - 11:00 am.

 

Spring 2019

 

Date Location Speaker Topic
January 28, 2019 Room 4301 
Exploratory Hall
Harbir Antil Measure Theory and Functional Analysis
February 4, 2019 Room 4301 
Exploratory Hall
Harbir Antil Measure Theory and Functional Analysis
February 11, 2019 Room 4301 
Exploratory Hall
Harbir Antil Measure Theory and Functional Analysis
February 18, 2019 Room 4301 
Exploratory Hall
Harbir Antil PDEs and Optimization in function spaces
February 25, 2019 -- -- No Seminar
March 4, 2019 Room 4301 
Exploratory Hall
Harbir Antil PDEs and Optimization in function spaces
March 11, 2019 -- -- No Seminar due to Spring Break
March 18, 2019 Room 4301 
Exploratory Hall
Harbir Antil Software Development for Optimization with PDEs
March 25, 2019 Room 4301 
Exploratory Hall
Harbir Antil Software Development for Optimization with PDEs
April 1, 2019 Room 4301 
Exploratory Hall
Kiefer Green Nonlocal/Fractional PDEs and Optimization
April 8, 2019 Room 4301 
Exploratory Hall
Kiefer Green Nonlocal/Fractional PDEs and Optimization
April 15, 2019 Room 4301 
Exploratory Hall
Kiefer Green Nonlocal/Fractional PDEs and Optimization
April 22, 2019 Room 4301 
Exploratory Hall
Kiefer Green Nonlocal/Fractional PDEs and Optimization
April 29, 2019 Room 4301 
Exploratory Hall
Kiefer Green Nonlocal/Fractional PDEs and Optimization
May 6, 2019 Room 4301 
Exploratory Hall
Kiefer Green Nonlocal/Fractional PDEs and Optimization
 

 

Fall 2018

 

Date Location Speaker Topic
September 10, 2018 Room 3301
Exploratory Hall
Deepanshu Verma Introduction to Augmented Lagrangian Methods
September 17, 2018 Room 3301
Exploratory Hall
Deepanshu Verma Ill-Conditioning of Quadratic Penalty Function Methods
September 24, 2018 Room 4208
Exploratory Hall
Deepanshu Verma Geometric Interpretation of the Method of Multipliers
October 1, 2018 Room 4208
Exploratory Hall
Deepanshu Verma Implementing the Method of Multipliers in MATLAB for a simple example
October 9, 2018 (Open Collaboration Area)
Room 4307
Exploratory Hall
Deepanshu Verma Dealing with inequality constraints using the Method of Multipliers
October 15, 2018 Showcase Room
Research Hall
Deepanshu Verma Dealing with inequality constraints and introducing dual function Augmented Lagrangian
October 22, 2018 Showcase Room
Research Hall
Deepanshu Verma Introducing dual function for Augmented Lagrangian
October 29, 2018 Showcase Room
Research Hall
Deepanshu Verma Second order method of multipliers and exponential method of multipliers
November 5, 2018 Showcase Room
Research Hall
Deepanshu Verma Second order method of multipliers and Exponential method of multipliers - Part 2
November 12, 2018 Showcase Room
Research Hall
Deepanshu Verma Exact Penalty Methods
November 19, 2018 Showcase Room
Research Hall
Deepanshu Verma Direction of Descent for Exact Penalties
November 26, 2018 Showcase Room
Research Hall
Deepanshu Verma Sequential Quadratic Programming-I
December 3, 2018 Room 3301
Exploratory Hall
Deepanshu Verma Sequential Quadratic Programming-II
 

 


SPRING 2018

Speaker Topic
H. Antil PDE Constrained Optimization


FALL 2017

Speakers Topic
H. Antil and T. Le Optimization under Uncertainty


SPRING 2017

Speakers Topic
H. Antil, P. O’Neil and D. Torrejon Fractional PDEs


FALL 2016

Speaker Topic
D. Torrejon Gamma convergence


SPRING 2016

Speakers Topic
H. Antil, P. O’Neil and D. Torrejon PDE Constrained Optimization - II


FALL 2015

Speakers Topic
H. Antil, P. O’Neil and D. Torrejon PDE Constrained Optimization - I

SPRING 2015
SpeakerTopic
D. Torrejon Chapter 1, 2
J. Cameron TBD
FALL 2014
SpeakerTopic
M. Panagoda and P. O'Neil Chapter 4
D. Torrejon Chapter 6
SPRING 2014
SpeakersTopic
M. Panagoda and J. Snider Chapter 3
FALL 2013
SpeakerTopic
D. Torrejon Chapters 1 and 2