F. Heber, F. Schöpfer and T. Schuster. Acceleration of sequential subspace optimization in Banach spaces by orthogonal search directions. J. Comp. Appl. Math., 345:1-22, DOI:10.1016/j.cam.2018.05.049, 2019.
A. Wald. A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification. Inverse Problems, 34(8):27pp, DOI:10.1088/1361-6420/aac8f3, 2018.
S. Diebels, T. Schuster and A. Wewior. Identifying elastic and viscoelastic material parameters by Tikhonov regularization. Mathematical Problems in Engineering, DOI:10.1155/2018/1895208, Article ID 1895208, 11pp, 2018.
J. Seydel and T. Schuster. Identifying the stored energy of a hyperelastic structure from surface measurements by using an attenuated Landweber method. Inverse Problems. Special Issue: Dynamic Inverse Problems, Special Issue: Dynamic Inverse Problems, 33(12):31pp, DOI:10.1088/1361-6420/aa8d91, 2017.
A. Katsevich, D. Rothermel, and T. Schuster. An improved exact inversion formula for solenoidal fields in cone beam vector tomography. Inverse Problems, 33(6):19pp, Special issue: 100 Years of the Radon transform, DOI:10.1088/1361-6420/aa58d5, 2017.
C. Schorr, L. Dörr, M. Maisl and T. Schuster. Registration of a priori information for computed laminography. NDT&E International, 86:106-112, DOI:10.1016/j.ndteint.2016.12.005, 2017.
A. Wald and T. Schuster. Sequential subspace optimization for nonlinear inverse problems. J. Inv. Ill-Posed Prob., 25(1), DOI:10.1515/jiip-2016-0014, 2017.
J. Tepe, T. Schuster, and B. Littau. A modified algebraic reconstruction technique taking refraction into account with an application in terahertz tomography. Inverse Problems in Science and Engineering, 25:1448-1473, DOI:10.1080/17415977.2016.1267168, 2017.
U. Schröder and T. Schuster. A numerical algorithm to determine the refractive index of an inhomogeneous medium from time-of-flight measurements. Inverse Problems, 32(8):35pp, DOI:10.1088/0266-5611/32/8/085009, 2016.
J. Seydel and T. Schuster. On the linearization of identifying the stored energy function of a hyperelastic material from full knowledge of the displacement field. Math. Meth. Appl. Sci., DOI:10.1002/mma.3979, 2016.
F. Binder, F. Schöpfer and T. Schuster. PDE-based defect localization in fibre-reinforced composites from surface sensor measurements. Inverse Problems, 31(2):22pp, DOI:10.1088/0266-5611/31/2/025006, 2015.
A. Wöstehoff, T. Schuster. Uniqueness and stability result for Cauchy's equation of motion for a certain class of hyperelastic materials. Applicable Analysis, 94(8):1561-1593, DOI:10.1080/00036811.2014.940519, 2015.
T. Schuster, A. Wöstehoff. On the identifiable of the stored energy function of hyperelastic materials from sensor data at the boundary. Inverse Problems, 30(10):26pp, DOI:10.1088/0266-5611/30/10/105002, 2014.
I.E. Svetov, E.Y. Derevtsov, Y.S. Volkov, and T. Schuster. A numerical solver based on B-splines for 2D vector field tomography in a refracting medium. Mathematics and Computers in Simulation, 97:207-223, 2014. DOI:10.1016/j.matcom.2013.05.008
D. Kern, M. Rösner, E. Bauma, W. Seemann, R. Lammering and T. Schuster. Key features of exure hinges used as rotational joints. Forschung im Ingenieurwesen, DOI:10.1007/s10010-013-0169-z, 2013.
A. Katsevich and T. Schuster. An exact inversion formula for cone beam vector tomography. Inverse Problems, 29(6):13pp, 2013. DOI:10.1088/0266-5611/29/6/065013 Insights have been published to this article.
J.P. Wulfsberg, R. Lammering, T. Schuster, N. Kong, M. Rösner, E. Bauma, and R. Friedrich. A novel methodology for the development of compliant mechanisms with application to feed units. Production Engineering, DOI:10.1007/s11740-013-0472-4, 2013.
E. Derevtsov, V. Pickalov, and T. Schuster. Application of local operators for numerical reconstruction of the singular support of a vector field by its known ray transforms. Journal of Physics: Conference Series, IOP Publishing, Vol. 135, Article ID 012035, doi:10.1088/1742-6596/135/1/012035, 2008.
F. Schöpfer, T. Schuster, and A. K. Louis. Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods. Journal of Inverse and Ill-Posed Problems, 16(5):479-506, 2008. DOI:10.1515/JIIP.2008.026
F. Schöpfer, T. Schuster, and A. K. Louis. An iterative regularization method for the solution of the split feasibility problem in Banach spaces. Inverse Problems, 24(5):20pp, 2008. DOI:10.1088/0266-5611/24/5/055008
T. Bonesky, K. Kazimierski, P. Maass, F. Schöpfer, and T. Schuster. Minimization of Tikhonov functionals in Banach spaces. Journal of Abstract and Applied Analysis, Article ID 192679, 19 pages, 2007. DOI:10.1155/2008/192679
T. Schuster. The formula of Grangeat for tensor fields of arbitrary order in n dimensions. International Journal of Biomedical Imaging, Article ID 12839, 4 pages, 2007. DOI:10.1155/2007/12839
E. Derevtsov, S. Kazantsev, and T. Schuster. Polynomial bases for subspaces of potential and solenoidal vector fields in the unit ball of R3. Journal of Inverse and Ill-Posed Problems, 15(1):19-55, 2007. DOI:10.1515/JIIP.2007.002
T. Schuster. Defect correction in vector field tomography: detecting the potential part of a field using BEM and implementation of the method. Inverse Problems, 21:75-91, 2005. DOI:10.1088/0266-5611/21/1/006
E. Derevtsov, A. K. Louis, and T. Schuster. Two approaches to the problem of defect correction in vector field tomography solving boundary value problems. Journal of Inverse and Ill-Posed Problems, 12:597-626, 2004. DOI:10.1515/1569394042545111
T. Schuster. A stable inversion scheme for the Laplace opterator using arbitrarily distributed data scanning points. Journal of Inverse and Ill-Posed Problems, 11:263-287, 2003. DOI:10.1515/156939403769237051
A. Rieder and T. Schuster. The approximate inverse in action II: convergence and stability. Mathematics of Computations, 72:1399-1415, 2003.DOI:10.1090/S0025-5718-03-01526-6
E. Derevtsov, R. Dietz, T. Schuster, and A. K. Louis. Influence of refraction to the accuracy of a solution for the 2D-emission tomography problem. Journal of Inverse and Ill-Posed Problems, 8(2):161-191, DOI: 10.1515/jiip.2000.8.2.161, 2000.
A. Rieder and T. Schuster. The approximate inverse in action with an application to computerized tomography. SIAM Journal on Numerical Analysis, 37(6):1909-1929, 2000. DOI:10.1137/S0036142998347619
A. K. Louis and T. Schuster. A novel filter design technique in 2D computerized tomography. Inverse Problems, 12:685-696, 1996. DOI:10.1088/0266-5611/12/5/0112014