Publications

Preprints
Peer-reviewed articles in journals
  1. L. Banjai, M. López-Fernández and A. Schädle Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations SIAM J. Numer. Anal 55(2), 621–639, 2017. [ DOI ]
  2. L. Nannen, T. Hohage, A. Schädle and J. Schöberl Exact sequences of high order Hardy space infinite elements for exterior Maxwell problems SIAM J. Sci. Comput. 35(2) A1024-A1048, 2013. [ DOI ]
  3. Daniel Ruprecht, Achim Schädle and Frank Schmidt. Transparent boundary conditions based on the Pole Condition for time-dependent, two-dimensional problems. Numerical Methods for Partial Differential Equations , 29(4), 1367-1390, 2013 [ DOI ]
  4. L. Nannen and A. Schädle. Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities. Wave Motion , 48: 116-129, 2011. [Preprint] [ DOI ]
  5. D. Ruprecht, A. Schädle, F. Schmidt, and L. Zschiedrich. Transparent boundary conditions for time-dependent problems. SIAM J. Sci. Comput., 30(5):2358-2385, 2008. [Preprint] [ DOI ]
  6. X. Antoine, A. Arnold, C. Besse, M. Ehrhardt, and A. Schädle. A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations. Commun. Comput. Phys., 4:729-796, 2008. [PDF]
  7. F. Schmidt, T. Hohage, R. Klose, A. Schädle, and L. Zschiedrich. Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain. J. Comput. Appl. Math.,218(1): 61-69, 2008. [DOI]
  8. M. López-Fernández, Ch. Lubich, and A. Schädle. Adaptive, Fast and Oblivious Convolution in Evolution Equations with Memory. SIAM J. Sci. Comput. , 30(2):1015-1037, 2008. [URL]
  9. G. Dolling, M. W. Klein, M. Wegener, A. Schädle, B. Kettner, S. Burger, and S. Linden. Negative beam displacement for negative-index photonic metamaterials. Optics Express, 15(21):14219-14227, 2007. [DOI]
  10. A. Schädle, L. Zschiedrich, S. Burger, R. Klose, and F. Schmidt. Domain Decomposition Method for Maxwells Equations: Scattering off Periodic Structures. J. Comput. Phys., 226:477-493, 2007. [Preprint] [DOI]
  11. G. Dolling, M. Wegener, A. Schädle, S. Burger and S. Linden. Observation of magnetization waves in negative-index photonic metamaterials. Appl. Phys. Lett., 89:231118, 2006.
  12. M. López-Fernández, C. Palencia, and A. Schädle. A spectral order method for inverting sectorial Laplace transforms. SIAM J. Numer. Anal., 44(3):1332-1350, 2006. [DOI] [Preprint]
  13. A. Schädle, M. López-Fernández, and Ch. Lubich. Fast and oblivious convolution quadrature. SIAM J. Sci. Comput., 28(2):421-438, 2006. [DOI] [Preprint]
  14. L. Zschiedrich, R. Klose, A. Schädle, and F. Schmidt. A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D. J. Comput. Appl. Math., 188:12-32, 2006. [Preprint]
  15. T. Kalkbrenner, U. Hakanson, A. Schädle, S. Burger, C. Henkel, and V. Sandoghdar. Optical microscopy using the spectral modifications of a nano-antenna. Phys. Rev. Lett., 95:200801, 2005. [DOI] [Preprint]
  16. M. López-Fernández, Ch. Lubich, C. Palencia, and A. Schädle. Fast Runge-Kutta approximation of inhomogeneous parabolic equations. Numer. Math., 102:277-291, 2005. [DOI] [Preprint]
  17. R. Hiptmair and A. Schädle. Non-reflecting boundary conditions for Maxwell's equations. Computing, 71(3), 2003. [DOI] [Preprint]
  18. Ch. Lubich and A. Schädle. Fast convolution for Non-reflecting boundary conditions. SIAM J. Sci. Comput., 24:161-182, 2002. [DOI] [Preprint]
  19. A. Schädle. Nonreflecting boundary conditions for the two dimensional Schrödinger equation. Wave Motion, (35):181-188, 2001. [PDF] [PS]
Peer-reviewed conference articles and book chapters
  1. M.J. Gander and A. Schädle. The Pole Condition: A Padé Approximation of the Dirichlet to Neumann Operator. In Yunqing Huang, Ralf Kornhuber, Olof B. Widlund Olof and Jinchao Xu Domain Decomposition Methods in Science and Engineering XIX , volume 78 of Lecture Notes in Computational Science and Engineering pages 125-132, 2011. [ DOI ] [PREPRINT]
  2. A. Schädle and L. Zschiedrich. Additive Schwarz method for scattering problems using the PML method at interfaces. In Olof B. Widlung and David E. Keyes, editors, Domain Decomposition Methods in Science and Engineering XVI, volume 55 of Lecture Notes in computational Science and Engineering, pages 205-212, 2007. [ DOI ]
  3. S. Burger, A. Schädle, L. Zschiedrich, and F. Schmidt. Advanced FEM Analysis of Nano-Optical Devices. In D. L. Andrews, J.-M. Nunzi, and A. Ostendorf, editors, Nanophotonics, volume 6195, pages 72-82, 2006 . Proc. SPIE.
  4. S. Burger, R. Klose, A. Schädle, F. Schmidt, and L. Zschiedrich. Adaptive FEM solver for the computation of electromagnetic eigenmodes in 3D photonic crystal structures. In A. M. Anile, G. Ali, and G. Mascali, editors, Scientific Computing in Electrical Engineering, pages 169-175. Springer Verlag, 2006 .
  5. S. Burger, R. Klose, A. Schädle, F. Schmidt, and L. Zschiedrich. FEM modelling of 3D photonic crystals and photonic crystal waveguides. In Y. Sidorin and C. A. Wächter, editors, Integrated Optics: Devices, Materials, and Technologies IX, volume 5728, pages 164-173, 2005. Proc. SPIE. [Preprint]
  6. S. Burger, L. Zschiedrich, R. Klose, A. Schädle, F. Schmidt, C. Enkrich, S. Linden, M. Wegener, and C. M. Soukoulis Numerical Investigation of Light Scattering off Split-Ring Resonators In T. Szoplik and E. Özbay and C. M. Soukoulis and N. I. Zheludev, editors, Metamaterials, Vol. 5955, pages 18-26, 2005. Proc. SPIE.
  7. A. Schädle. Nonreflecting boundary conditions for the two dimensional Schrödinger equation. In A. Bermúdez, D. Gómez, C. Hazard, and P. Joly and J. E. Roberts, editors, Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, pages 621-625, 2000.
Conference articles
  1. D. Ruprecht, A. Schädle, F. Schmidt. Optimal parameter choice for the pole condition Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics 13(1), 455-456, 2013 [DOI]
  2. A. Schädle, D. Ruprecht, F. Schmidt Transparent boundary conditions - the pole condition approach In: Proceedings of Waves 2007, N. Biggs et.al. editors , pages 301-303, 2007
  3. S. Burger, L. Zschiedrich, A. Schädle, R. Klose and B. Kettner, J. Pomplun, T. Pollok, and F. Schmidt. Advanced FEM Analysis of Nano-Optical Devices. In Proc. Symposium on Photonics Technologies for the 7th Framework Programme, 2006.
  4. F. Schmidt, S. Burger, A. Schädle, and R. Klose. Finite element methods for optical device design. In Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices, pages 57-58, 2005.
  5. L. Zschiedrich, S. Burger, A. Schädle, and F. Schmidt. Domain decomposition method for electromagnetic scattering problems. In Proceedings of the 5th International Conference on Numerical Simulation of Optoelectronic devices, pages 55-56, 2005.
  6. S. Burger, R. Klose, R. März, A. Schädle, F. Schmidt, and L. Zschiedrich Efficient Finite Element Methods for the Design of Microoptical Components. In Proc. Microoptics Conf., 2004.
Thesis
  1. A. Schädle. Ein schneller Faltungsalgorithmus für nichtreflektierende Randbedingungen. Dissertation, Mathematisches Institut, Universität Tübingen, Tübingen, Germany, August 2002. [URN]
  2. A. Schädle. Numerische Behandlung transparenter Randbedingungen für die Schrödinger-Gleichung, Diploma thesis, 1998.
Miscellaneous
  1. S. Burger, R. Klose, A. Schädle, and L. Zschiedrich. HelmPole - A finite element solver for scattering problems on unbounded domains: Implementation based on PML. User manual, ZIB Report 03-38, Zuse Institute Berlin, 2003. [PDF] [PS]



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