[LA-SiGMA-funded] LI-LA-SiGMA seminar Today, March 29nd

[Dentcho Genov]

Dear All,

 

This is a kind reminder that our next LI-LA-SiGMA seminar is today, March
29th at 2.00pm. Our speaker is Dr. Dr.  Jianliang Qian from Michigan State
University. Dr. Qian is visiting LA Tech thanks to Dr. Songming Hou.

 

Title: Fast Algorithms for High Frequency Waves and Applications in Kinetic
Inverse Problems

 

Abstract: Computational wave propagation has emerged as a fundamental,
vigorously growing technology for modeling, design, and development in areas
ranging from radar, sonar, seismic imaging, medical imaging, submarine
detection, stealth technology, remote sensing and electronics to microscopy
and nanotechnology. The significant recent applications of the wave
propagation technology have driven the need for more advanced mathematical
models and numerical algorithms. However, by the physical nature of these
models, it is difficult to develop rigorous numerical methods in the high
frequency regime due to the highly oscillatory property of the fields.
Therefore, a multitude of simulations are based on some approximate models.
Among these, the simplest and most broadly used is the geometrical optics
model that results as a lowest order (WKBJ) approximation of wave-like
equations as the frequency becomes infinite. The focus of the recent efforts
along the line is on developing fast algorithms for accurate high frequency
wave propagation. 

 

I will give an overview of some newly developed fast algorithms for high
frequency wave propagation, such as fast sweeping methods for eikonal
equations, Gaussian beam methods for the Schrodinger equation based on fast
wavepacket transforms, and multiscale Gaussian beam methods for wave
equations based on fast ultiscale wavepacket transforms. Fast sweeping
methods are a family of efficient algorithms for solving nonlinear
stationary Hamilton-Jacobi equations which include eikonal equations.
Gaussian beam methods are a class of uniform geometrical-optics
approximations for wave equations which include the Schrodinger equation,
the Helmholtz equation as well as various classical wave equations. Fast
(multiscale) wavepacket transforms enable us to develop fast (multiscale)
Gaussian beam methods for these equations. To demonstrate the power of these
fast algorithms, I will outline two exciting applications in kinetic inverse
problems: traveltime tomography and photoacoustic tomography.   

 

Bio: Dr. Jianliang Qian currently is an Associate Professor of Mathematics
at Michigan State University in East Lansing, Michigan. He earned his Ph.D.
degree at Rice University under the supervision of William W. Symes in May
2000. From September 2000 to August 2002, he was a Postdoctoral Research
Associate at the Institute for Mathematics and Applications (IMA),
University of Minnesota. From September 2002 to July 2005, he was a CAM
Assistant Professor at UCLA. From August 2005 to July 2007, he was an
Assistant Professor at Wichita State University. From August 2007 to June
2010, he was an Assistant Professor at Michigan State University. He was
promoted to be an associate professor with tenure at Michigan State
University in July 2010. He has published more than 35 journal papers. He
has organized the 2010 IMA Participating Institute Graduate Summer School on
Computational Wave Propagation. His research interest is on high frequency
wave propagation and related applications in inverse problems, seismic
imaging and medical imaging. His research is mainly supported by NSF and
DOD, and he has received four research grants with a cumulative budget of
more than $600K.

 

The access grid locations are as follow: 

 

Tulane: AG room: 403 Stanley Thomas Hall

University of Louisiana at Lafayette: AG room: Abdalla Hall

Southern University:  AG room: 218 Moore Hall

UNO: AG room:  SC 2002

LSU: AG room:  Johnston 338

LATECH: AG room: 234 Netken Hall

 

Please, distribute this email to your students and colleagues.

 

Kind Regards,

Dentcho

 

----

Dentcho A. Genov, PhD

The LONI Institute Fellow

Assistant Professor of Physics & Electrical Engineering

Louisiana Tech University, Engineering Annex, Room 220

599 W Arizona Ave, Ruston LA 71272

 

Phone: (318) 257-4190, Fax: (318) 257-2777

Webpage: http://www.phys.latech.edu/~dgenov/

 

 

 

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