Article

Lowery, N. L.H., Vahdati, M. M., Potthast, R. W.E. and Holderbaum, W. (2013) Classification and fault detection methods for fuel cell monitoring and quality control. Journal of Fuel Cell Science and Technology , 10 (2). 021002. ISSN 1550-624X doi: 10.1115/1.4023565

Moodey, A. J. F., Lawless, A. S., Potthast, R. W. E. and Van Leeuwen, P. J. (2013) Nonlinear error dynamics for cycled data assimilation methods. Inverse Problems, 29 (2). 025002. ISSN 0266-5611 doi: 10.1088/0266-5611/29/2/025002

Marx, B. A. and Potthast, R. W. E. (2012) On instabilities in data assimilation algorithms. GEM - International Journal on Geomathematics, 3 (2). pp. 253-278. ISSN 1869-2680 doi: 10.1007/s13137-012-0034-5

Lowery, N., Potthast, R., Vahdati, M. and Holderbaum, W. (2012) On discrimination algorithms for ill-posed problems with an application to magnetic tomography. Inverse Problems , 28 (6). 065010. ISSN 1361-6420 doi: 10.1088/0266-5611/28/6/065010

Potthast, R.W.E. (2011) An iterative contractive framework for probe methods: LASSO. Radio Science, 46 (RS0E14). ISSN 1944–799x doi: 10.1029/2011RS004660

Potthast, R. (2010) A study on orthogonality sampling. Inverse Problems, 26 (7). 074015. ISSN 1361-6420 doi: 10.1088/0266-5611/26/7/074015

Potthast, R., Fazi, F. M. and Nelson, P. A. (2010) Source splitting via the point source method. Inverse Problems, 26 (4). 045002. ISSN 1361-6420 doi: 10.1088/0266-5611/26/4/045002

Burkard, C. and Potthast, R. (2009) A time-domain probe method for three-dimensional rough surface reconstructions. Inverse problems and imaging, 3 (2). pp. 259-274. ISSN 1930-8337 doi: 10.3934/ipi.2009.3.259

Beim Graben, P. and Potthast, R. (2009) Inverse problems in dynamic cognitive modeling. Chaos, 19 (1). p. 21. ISSN 1089-7682 doi: 10.1063/1.3097067

Potthast, R. and Beim Graben, P. (2009) Inverse problems in neural field theory. SIAM Journal on Applied Dynamical Systems, 8 (4). pp. 1405-1433. ISSN 1536-0040 doi: 10.1137/080731220

Hauer, K.H., Potthast, R. and Wannert, M. (2008) Algorithms for magnetic tomography - on the role of a priori knowledge and constraints. Inverse Problems, 24 (4). 045008. ISSN 0266-5611 doi: DOI: 10.1088/0266-5611/24/4/045008

Heinemeyer, E., Lindner, M. and Potthast, R. (2008) Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces. SIAM Journal on Numerical Analysis (SINUM), 46 (4). pp. 1780-1798. ISSN 0036-1429 doi: DOI: 10.1137/060673321

Delbary, F.,, Erhard, K., Kress, R., Potthast, R. and Schulz, J. (2008) Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Inverse Problems, 24 (1). 015002. ISSN 0266-5611 doi: DOI: 10.1088/0266-5611/24/1/015002

Beim Graben, P., Pinotsis, D., Saddy, D. and Potthast, R. (2008) Language processing with dynamic fields. Cognitive Neurodynamics, 2 (2). pp. 79-88. ISSN 1871-4099 doi: 10.1007/s11571-008-9042-4

Jakubik, P. and Potthast, R. (2008) Testing the integrity of some cavity - the Cauchy problem and the range test. Applied Numerical Mathematics, 58 (6). pp. 899-914. ISSN 0168-9274 doi: 10.1016/j.apnum.2007.04.007

Potthast, R. (2007) On the convergence of the no response test. SIAM Journal on Mathematical Analysis (SIMA), 38 (6). pp. 1808-1824. ISSN 0036-1410 doi: 10.1137/S0036141004441003

Eckel, H. and Potthast, R. (2007) An evolutionary Newton method for shape reconstruction. Journal of Inequalities and Applications, 19 (3). pp. 261-287. ISSN 1025-5834 doi: 10.1216/jiea/1190905487

Potthast, R. and Schulz, J. (2007) A multiwave range test for obstacle reconstructions with unknown physical properties. Journal of Computational and Applied Mathematics, 205 (1). pp. 53-71. ISSN 0377-0427 doi: 10.1016/j.cam.2006.04.040

Chandler-Wilde, S. N., Heinemeyer, E. and Potthast, R. (2006) Acoustic scattering by mildly rough unbounded surfaces in three dimensions. Siam Journal on Applied Mathematics, 66 (3). pp. 1002-1026. ISSN 0036-1399

Nakamura, G., Potthast, R. and Sini, M. (2006) Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. Communications in Partial Differential Equations, 31 (10). pp. 1505-1528. ISSN 0360-5302

Nakamura, G., Potthast, R. and Sini, M. (2006) A comparative study between some non-iterative methods for inverse scattering. Contemporary Mathematics, 408. pp. 249-265.

Erhard, K. and Potthast, R. (2006) A numerical study of the probe method. Siam Journal on Scientific Computing, 28 (5). pp. 1597-1612. ISSN 1064-8275

Luke, D. R. and Potthast, R. (2006) The point source method for inverse scattering in the time domain. Mathematical Methods in the Applied Sciences, 29 (13). pp. 1501-1521. ISSN 0170-4214

Ben Hassen, M. F., Erhard, K. and Potthast, R. (2006) The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations. Inverse Problems, 22 (1). pp. 331-353. ISSN 0266-5611

Potthast, R. (2006) A survey on sampling and probe methods for inverse problems. Inverse Problems, 22 (2). R1-R47. ISSN 0266-5611

Chandler-Wilde, S. N., Heinemeyer, E. and Potthast, R. (2006) A well-posed integral equation formulation for three-dimensional rough surface scattering. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 462 (2076). pp. 3683-3705. ISSN 1364-5021

Book or Report Section

Potthast, R., Fazi, F. M., Nelson, P. A. and Seo, J. (2008) Two sound field reconstruction techniques based on integral equations. In: 2008 Hands-Free Speech Communication and Microphone Arrays. IEEE, pp. 245-248.