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NSF Workshop on the Emerging Applications and

Future Directions of the Boundary Element Method

September 1-3, 2010

Cleveland, Ohio, USA (The University of Akron Campus)

 

DSCN0351     DSC02929     DSCN0353

 

Summary Report

Final Program

Poster Competition

Photos/Slides

Organizers

Sponsors

 

Summary Report

 

The rapid development of the boundary element method (BEM) in the last decade has significantly broadened the applications of the BEM and the related methods. Many challenging computational problems such as multi-scale and large-scale modeling of advanced materials, structures, fluids, and MEMS/NEMS can now be modeled by the BEM effectively, thanks to the advances of the various fast solution methods. While the BEM related research are thriving in Europe, Asia and South America, the research activities related to the BEM in the US have been dwindling since the beginning of this century. There is an urgent need of retraining researchers, engineers and students in the US on the recent developments in the BEM and its emerging applications, to help further advance the research and broaden the applications of the BEM in the US.

 

Sponsored by the US National Science Foundation, a workshop on the BEM was held on The University of Akron campus (in the suburb of Cleveland, Ohio, USA) during September 1-3, 2010. This workshop had a two-day short course sequence on the basics of the BEM and a one-day symposium on the emerging applications and future directions of the BEM. About 50 researchers and engineers around the world and students across the US attended this workshop.

 

The workshop started with a two-day short course sequence for students, researchers and engineers on the fundamentals of the boundary integral equation (BIE) formulations and the BEM in applied mechanics, the basics of the Green’s functions, the symmetric Galerkin BEM, and the new fast multipole BEM. Following the two-day short courses, a one-day symposium focused on discussions of emerging applications and future directions of the BEM. Invited speakers from around the world opened the topics, presented many examples of emerging applications of the BEM in engineering and science, and led discussions on the future directions in the BEM.

 

Fellowship support were awarded to 17 students from 14 universities in the US to support them for participating this workshop. A competition of poster presentations for students was also held. This workshop has brought leading researchers around the world to the US to discuss the emerging applications and the future directions of the BEM, helped to train a new generation of students in the research on the BEM, and to connect US researchers and students with those from other countries and from national labs and industries.

 

 

Final Program

(Download the slides by clicking on the title of the presentation)

 

 

September 1, 2010
 
Short Course on the Boundary Element Method
 
               Subrata Mukherjee (Cornell University, USA)
Introduction to the BEM
               Lunch and student poster session
               Ernie Pan (University of Akron, USA)
Basics of Green’s functions
               Student poster session
 
 
September 2, 2010 
 
Short Course on the Boundary Element Method (Continued)
 
               Len Gray (Oak Ridge National Lab, USA) and Alok Sutradhar (Ohio State University, USA)
Symmetric Galerkin BEM
               Lunch and student poster session
               Yijun Liu (University of Cincinnati, USA)
Fast multipole BEM
               Reception and poster competition awards
 
 
September 3, 2010 
 
Symposium on the Emerging Applications and Future Directions of the BEM
 
Invited Lead Persons and Panel Discussion Topics:
 
Glaucio H. Paulino (University of Illinois and National Science Foundation, USA)
   Challenges and funding opportunities in computational science and engineering
Naoshi Nishimura (Kyoto University, Japan)
   Fast BEM for elastodynamic and periodic problems
Martin Schanz (Graz University of Technology, Austria)
   BEM for solving problems governed by Helmholtz equations – An Overview
Attilio Frangi (Politecnico di Milano, Italy)
   BEM for modeling microelectromechanical systems (MEMS)
Andres Saez (Universidad de Sevilla, Spain)
   BEM for modeling fracture mechanics problems
Olaf Steinbach (Graz University of Technology, Austria)
   Fast boundary element methods: A mathematical view
J. Sladek (Slovak Academy of Sciences, Slovak)
   Integral equations and related meshfree methods
Ney A. Dumont (PUC-Rio, Brazil)
   BEM research and new developments in Brazil
Wenjing Ye (Hong Kong University of Science and Technology, Hong Kong)
   BEM and the precorrected FFT acceleration technique
Jian Wang (Los Alamos National Lab, USA)
   Material modeling with Green’s functions
Francis Noblesse (NSWCCD David Taylor Model Basin, USA)
   Green-function method in hydrodynamics
John R. Berger (Colorado School of Mines, USA)
Incorporation of microstructural effects in Green’s functions and boundary element calculations
Ravi Raveendra (Comet Technology Corporation, USA)
   BEM applications and the needs in industries
 

 

 

Poster Competition Awards

 

Eighteen students participated in the competition of poster presentations during the workshop. These posters covered a wide range of research topics in computational science and engineering. All the 18 posters were reviewed by seven judges. Based on their excellent research efforts, approaches, results and presentation skills, the following three students were selected as the winners of the poster competition at the workshop:

 

Zhangli Peng, University of California San Diego:

Multiscale modeling of red blood cells in Stokes flows by coupling finite element and boundary element methods

Sofie Leon, University of Illinois at Urbana-Champaign:

      Adaptive dynamic fracture using nonlinear cohesive zone modeling

Han Tran, The University of Texas at Austin:

      A weakly-singular SGBEM for analysis of cracks in 2D multi-field media

 

 

Photos and Slides

 

 

 

Review Article

 

A review article on the state-of-the-art and future directions of the BEM has been prepared by the organizers and the invited speakers at the workshop. This review article has been published in Applied Mechanics Review. Dr. Yijun Liu coordinated the efforts on the preparation of this review article. If you are interested in this review article, please contact Dr. Liu.

 

 

Organizing Committee

 

Dr. Yijun Liu, University of Cincinnati (Co-Chair)

Dr. Ernie Pan, University of Akron (Co-Chair)

Dr. Subrata Mukherjee, Cornell University

Dr. Len Gray, Oak Ridge National Laboratory

Dr. Thomas J. Rudolphi, Iowa State University

Dr. Anh-Vu Phan, University of South Alabama

Dr. Alex Cheng, University of Mississippi

Dr. Mitch Denda, Rutgers, The State University of New Jersey

Dr. Tim Wu, University of Kentucky

 

 

Sponsors

 

The US National Science Foundation

Program of Mechanics of Materials

Division of Civil, Mechanical and Manufacturing Innovation (CMMI)

Program Director:   Dr. Glaucio H. Paulino, Willett Professor of Engineering, UIUC

 

University of Cincinnati

 

University of Akron

 

 

Contact

 

Dr. Yijun Liu

Professor of Mechanical Engineering

University of Cincinnati

Tel.: 1 (513) 556-4607

E-mail: Yijun.Liu@uc.edu

 

Dr. Ernie Pan

Professor of Civil Engineering

University of Akron

Tel.: 1 (330) 972-6739

E-mail: pan2@uakron.edu

 

 

 

Summary Report

Final Program

Poster Competition

Photos/Slides

Organizers

Sponsors

 

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