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Publications
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DK-Report 2017-01, E. Buckwar and A. Thalhammer
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Importance Sampling Techniques for Stochastic Partial Differential Equations
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E. Klann, R. Ramlau and P. Sun. A Mumford-Shah-Type Approach to Simultaneous Reconstruction and Segmentation for Emission Tomography Problems with Poisson Statistics.
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In Journal of Inverse and Ill-Posed Problems, 2017, doi: 10.1515/jiip-2016-0077
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Gangl, P., Amstutz, S. & Langer, U. Topology Optimization of Electric Motor Using Topological Derivative for Nonlinear Magnetostatics.
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In IEEE Trans. Magn. (2016) 52(3). The final publication is available at http://ieeexplore.ieee.org/document/7312466/?reload=true&arnumber=7312466.
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A. Maletzky. Computer-Assisted Exploration of Gröbner Bases Theory in Theorema.
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PhD Thesis, submitted 2016. Examiners: Prof. Buchberger, Prof. Kreuzer.
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DK-Report 2016-06, S. Hubmer and R. Ramlau
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Convergence Analysis of a Two-Point Gradient Method for Nonlinear Ill-Posed Problems
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DK-Report 2016-05, S. Hubmer, A. Neubauer, R. Ramlau and H. U. Voss
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On the Parameter Estimation Problem of Magnetic Resonance Advection Imaging
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Jose Capco. Generalizing some Results in Field Theory for Rings.
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Submitted.
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P. Gangl, U. Langer, A. Laurain, H. Meftahi, and K. Sturm. Shape optimization of an electric motor subject to nonlinear magnetostatics.
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In SIAM Journal on Scientific Computing, 37(6):B1002–B1025, 2015. Final publication available at epubs.siam.org/doi/pdf/10.1137/15100477X
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W. Krendl. Nonstandard Sobolev spaces for preconditioning mixed methods and optimal control problems.
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PhD Thesis, submitted 2016. Examiners: Prof. Zulehner, Prof. Schulz.
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C. Hofreither, U. Langer, and S. Weisser. Convection-adapted BEM-based FEM.
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In Z. Angew. Math. Mech. (ZAMM), 96(12):1467–1481, 2016.
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H. Huang and M. Kauers. D-finite numbers.
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International Journal of Number Theory 14(7):1827-1848, July 2018.
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S. Takacs and T. Takacs. Approximation Error Estimates and Inverse Inequalities for B-Splines of Maximum Smoothness.
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In Mathematical Models and Methods in Applied Sciences, 26, 1411-1445, 2016, https://doi.org/10.1142/S0218202516500342
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DK-Report 2016-04, A. Seiler and B. Jüttler
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Adaptive Numerical Quadrature for the Isogeometric Discontinuous Galerkin Method
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C. Hofer, U. Langer and I. Toulopoulos. Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps
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Siam J. Sci. Comput., 2016 Society for Industrial and Applied Mathematics. Vol. 38, No. 6, pp. A3430-A3460.
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C.-S. Radu. An Algorithm to Prove Algebraic Relations Involving Eta Quotients
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to appear in Annals of Combinatorics
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DK-Report 2016-03, C. Hofer
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Analysis of discontinuous Galerkin Dual-Primal Isogeometric Tearing and
Interconnecting Methods
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DK-Report 2016-02, C. Hofer
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Parallelization of Continuous and Discontinuous Galerkin Dual-Primal Isogeometric Tearing and Interconnecting Methods
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DK-Report 2016-01, P. Gangl and U. Langer
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A Local Mesh Modification Strategy for Interface Problems with Application to Shape and Topology Optimization
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C. Hofer and U. Langer. Dual-Primal Isogeometric Tearing and Interconnecting Solvers for Multipatch Continuous and Discontinuous Galerkin IgA Equations.
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In PAMM, Volume 16, No. 1, pages 747-748, 2016.
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S. Chen, M. Kauers and C. Koutschan. Reduction-Based Creative Telescoping for Algebraic Functions.
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In Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC), pages 175--182, 2016.
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