Talks
As it so happens, scientists give talks at conferences, local seminars, or workshops. When I started to do my slides using a presentation program instead of the old-fashioned transparencies, I also started to put a few representative ones onto my webpage. Below are some.
10. |
This is a talk I gave while visiting my friend and colleague Moritz Diehl, an expert in optimization theory, in Leuven, Belgium. It is a talk about the many steps one has to go for biomedical imaging, but actually starts explaining the reasons why one would need yet another one of these imaging methods. It goes all the way from introducing a simple model problem to inverting real measurement data with an adaptive finite element program. |
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9. |
These are the slides of a talk I gave at the Optics West/BIOS'05 conference in San Jose, CA, on Jan 26th, 2005. It is on the use of adaptive finite element methods for optical tomography and the general algorithms used for them, as well as some results we have for this. Such methods are not generally used in that field, although we can show that their use can dramatically improve not only the run-time of reconstruction algorithms, but also the achievable resolution. Typically, practitioners ask for a resolution of about 1mm, which is impossible to achieve with uniform meshes; however, we demonstrate that we can achieve this with adaptive finite elements. |
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8. |
This is a talk given in January 2005 in Pittsburgh. The topic is duality-based error estimates. I give an introduction into why the estimation techniques usually used today are not really satisfactory in practice and how duality-based estimates can mitigate this. I then move on to show how such techniques can be applied to inverse problem, a case where traditional estimation techniques have completely failed because the problems are not only nonlinear but also ill-posed and the stability estimates one usually needs are unknown or inexistant. |
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7. |
A talk given at the meeting of the Industrial Affiliates of the Center for Subsurface Modeling at which I have a position. This talk is about optimization techniques and their use to find optimal locations for wells into oil reservoirs. |
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6. |
This is an overview talk of medical imaging techniques given to the students at ICES, and how mathematics comes into play for these applications. My own contribution is the adaptive finite element implementation for inverse imaging using optical tomography. |
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5. |
A brief, introductory overview of the deal.II finite element library of which I am the principal author. This is a talk given in the weekly work group meeting of the CFDLab group of Dr. Carey. |
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4. |
A short overview talk on Goal-Oriented Adaptivity and Error Estimation for the Time-Dependent Wave Equation, given on October 3rd, 2002, in an informal seminar on adaptive methods for hyperbolic problems. We were meeting for this once a week at TICAM. The original talk contained movies on the last couple of slides, but these are not converted by the program I use for my presentations, so sorry: they are not included. |
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3. |
The follow-up talk to number 2 below, given on Friday, October 4th, 2002. The title was Identifying Distributed Parameters in PDEs: II. Error Estimation and Adaptvity. |
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2. |
A talk given on Wednesday, September 25th, 2002, in the CSM group at TICAM. The title was Identifying Distributed Parameters in PDEs: I. Efficient Techniques. |
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1. |
This is a talk I gave Feb. 7th, 2001, at the seminar of the Graduiertenkolleg of which I was a member back then. The seminar was titled Optimization and gave an introduction to problems and methods of optimization for people working on other mathematical fields but interested to get a grasp on what this is all about. My 75-minute talk was on Nonlinear Optimization Methods, the slides are very extensive and contain a lot of pictures that are thought to illustrate the problems involved in nonlinear optimization problems. Two of the three other talks given at this seminar can be viewed from this page. |
View talk |
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