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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View talk
PDF file
(2.2 MB)
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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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View talk
PDF file
(2.2 MB)
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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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View talk
PDF file
(2.6 MB)
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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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View talk
PDF file
(1.2 MB)
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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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View talk
PDF file
(2.0 MB)
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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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View talk
PDF file
(420 kB)
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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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View talk
PDF file
(2.2 MB)
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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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View talk
PDF file
(1.8 MB)
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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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View talk
PDF file
(2.0 MB)
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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.
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View talk
PDF file
(2.3 MB)
Other talks of this seminar
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