Download Fast Integral Equation Methods in Engineering Design: From Global

Fast Integral Equation Methods in Engineering Design:
From Global Maxwell Tomography and Ultimate Bounds for MRI Coil
Performance to Quantum Fluctuations
Abstract: Advances in computational science are revolutionizing science and engineering.
It is clear that in many modern applications, off-the-shelf numerical solvers fail to meet
the ever-increasing requirements for ultra-fast computations. The drive for nextgeneration biomedical applications, e.g. high-field magnetic resonance imaging (MRI) and
deep brain stimulation, poses some very challenging problems in numerical modeling.
Another characteristic example comes from the modeling of fluctuation-induced EM
phenomena including thermal radiation, heat transfer, Casimir forces, spontaneous
emission, fluorescence, and Raman processes.
In my talk, I will briefly describe a new class of volume integral equation methods that
offer an ideal platform for customized fast algorithms, where maximal use of a specific
setting is possible. The volume integral equation solver together with a series of modern
numerical linear algebra algorithms can be seamlessly integrated in a general
computational framework for addressing a wide range of challenging applications in MRI
device optimization as well as in electrical properties mapping based on MR
measurements. I will close my talk by presenting some new volume integral equationbased matrix-trace formulas for the analysis of fluctuation-induced phenomena together
with some fundamental limits to optical response in absorptive systems.
CV
Athanasios G. Polimeridis was born in Thessaloniki, Greece, in 1980.
He received the Diploma and the Ph.D. degrees in electrical and
computer engineering from the Aristotle University of Thessaloniki,
Greece, in 2003 and 2008, respectively.
From 2008 to 2012, he was a Postdoctoral Research Associate with
the Laboratory of Electromagnetics and Acoustics, Ecole Polytechnique Fédérale de Lausanne,
Switzerland. From 2012 to 2015, he was a Postdoctoral Research Associate at the Massachusetts
Institute of Technology, Cambridge, MA, USA, where he was a member of the Computational
Prototyping Group. Since 2015 he is an Assistant Professor at Skolkovo Institute of Science and
Technology, Moscow, Russia. His research interests revolve around computational methods for
problems in physics and engineering (classical electromagnetics, fluctuation-induced
electromagnetic phenomena, magnetic resonance imaging, and inverse scattering), with an
emphasis on the development and implementation of integral-equation-based algorithms.
Dr. Polimeridis was awarded a Swiss National Science Foundation Fellowship for Advanced
Researchers in 2012.