Staff Profile:Dr Roland Potthast

Name:

Professor Roland Potthast

Job Title:

Professor of Applied Mathematics

Responsibilities:

Areas of Interest:

Research groups / Centres:

• Inverse Problems
• Industrial and financial mathematics
• Integral equations
• Simulation of waves, fluids and complex systems
• Solution of partial differential equations

Publications:

Books

Potthast, R.: Point-sources and Multipoles in Inverse Scattering</IT>, Chapman & Hall, London 2001.

Managers Introduction to Information Technology</IT>, Correspondence Course for the Henley Management College, Henley-On-Thames, Oxfordshire, UK (2000).

Publications in refereed scientific journals

In Press

Ben Hassen, F., Erhard, K. and Potthast, R.: " The singular sources method for 3d inverse acoustic obstacle scattering problems ", IMA J. Appl. Math, accepted for publication.

" Heinemeyer, E., Linder, M. and Potthast, R.: " Convergence and numerics of a multi-section method for scattering by three-dimensional rough surfaces", SIAM J. Numerical Analysis, at press.

2008

Fabrice Delbary, Klaus Erhard, Rainer Kress, Roland Potthast and Jochen Schulz: " Inverse electromagnetic scattering in a two-layered medium with an application to mine detection" Inverse Problems 24 (2008) 015002 (18pp) doi:10.1088/0266-5611/24/1/015002

2007

P. Jakubik, R. Potthast, Testing the integrity of some cavity - the Cauchy problem and the range test, Applied Numerical Mathematics (2007), doi:10.1016/j.apnum.2007.04.007

Ben Hassen, F., Liu, J. and Potthast, R.: " On Source Analysis by Wave Splitting with Applications in Inverse Scattering of Multiple Obstacles", J. Comput. Math. 25 (2007), no. 3, 266--281.

Eckel, H. and Potthast, R.: " An evolutionary Newton method for shape reconstruction." J. Integral Equations and Applications, Vol 19, No 3 (2007) 261-288.

Potthast, R. and Schulz, J.: " A multi-wave range test for obstacle reconstructions with unknown physical properties. " J. Comput. Appl. Math. 205 (2007), no. 1, 53--

Honda, N., Nakamura, R., Potthast, R. and Sini, M.: " The no-response approach and its relation to non-iterative methods in inverse scattering. ", Annali di Matematica Pura ed Aplicata, at press, published online 20 September 2006.

Potthast, R.: "On the convergence of the no response test." SIAM J. Math. Anal. 38 (2007), no. 6, 1808--1824.

Liu, J., Nakamura, G. and Potthast, R.: " A new approach and improved error analysis for reconstructing the scattered wave by the point source method." Journal of Computational Mathematics, Vol.25, No.2, 2007, pp113-130.

For publications prior to 2007 and preprints, please see Dr Roland Potthast's personal website