Martin Berggren Short Bio
In 1996, Martin Berggren received his Ph.D. in Computational and Applied Mathematics from Rice University, Houston, Texas, under the supervision of Roland Glowinski. Since 2007, he has been a Professor of Scientific Computing at Umeå University. Previously, Berggren held a lectureship position at Uppsala University and research positions at the Aeronautical Research Institute of Sweden, the Swedish Defence Research Agency, and Sandia National Laboratories, Albuquerque, USA.
Throughout his career, Berggren has authored around 70 publications in top journals within his fields, received numerous research grants, and has served as the main supervisor for 7 Ph.D. students and six postdocs. He began his career working with computational aerodynamics for aeronautical applications. Since the early 2000s, his research has increasingly focused on acoustic and electromagnetic wave-propagation problems, encompassing mathematical modeling, design and analysis of numerical algorithms, and new applications of gradient-based shape and topology optimization.
In summary, Berggren’s scientific achievements include many contributions that involve applying optimization methods to various fluid and wave-related problems. In his most cited publication [1], with approximately 770 citations to date, optimal-control concepts were introduced in the analysis of laminar–turbulent transition in boundary layers. Other influential contributions have concerned the design optimization of acoustic devices and metallic antennas [2–3, followed by many more publications]. A mathematical model developed in a 2018 publication [4] accelerates computations of viscothermal losses in acoustics by approximately two orders of magnitude. This model’s efficiency was quickly recognized and has since been incorporated into the Acoustics Module of the commercial software Comsol Multiphysics. Further conceptual studies of notable influence include an analysis explaining why shape calculus typically differs before and after discretization [5], and an analysis of approximations to very weak solutions to elliptic boundary-value problems [6].
[1] P. Andersson, M. Berggren, and D. S. Henningson. Optimal disturbances and bypass transition in boundary layers. Phys. Fluids, 11(1):134–150, January 1999.
http://www8.cs.umu.se/~martinb/downloads/Papers/KaWaBe12M.pdf
[2] E. Wadbro and M. Berggren. Topology optimization of an acoustic horn. Comput. Methods Appl. Mech. Engrg., 196:420–436, 2006.
https://www.sciencedirect.com/science/article/abs/pii/S0045782506001745
[3] E. Hassan, E. Wadbro, and M. Berggren. Topology optimization of metallic antennas. IEEE Trans. Antennas and Propagation, 62(5):2488–2500, May 2014.
http://www8.cs.umu.se/~martinb/downloads/Papers/HaWaBe14a.pdf
[4] M. Berggren, A. Bernland, and D. Noreland. Acoustic boundary layers as boundary conditions. J. Comput. Phys., 371:633–650, 2018.
http://www8.cs.umu.se/~martinb/downloads/Papers/BeBeNo18free.pdf
[5] M. Berggren. A unified discrete–continuous sensitivity analysis method for shape optimization. In Applied and Numerical Partial Differential Equations, volume 15 of Computational Methods in Applied Sciences. Springer, 2010
http://www8.cs.umu.se/~martinb/downloads/Papers/Be10M.pdf
[6] M. Berggren. Approximations of very weak solutions to boundary-value problems. SIAM J. Numer. Anal., 42(2):860–877, 2004.
http://www8.cs.umu.se/~martinb/downloads/Papers/Be04.pdf
