Institut für Angewandte Mathematik
Publications Günther Of

  1. Raphael Watschinger and Günther Of. An integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions, 2021. arXiv:2104.15024.

  2. Jan Zapletal, Raphael Watschinger, Günther Of, and Michal Merta. Semi-analytic integration for a parallel space-time boundary element method modeling the heat equation, 2021. arXiv:2102.09811.

  3. Günther Of and Raphael Watschinger. Complexity analysis of a fast directional matrix-vector multiplication. In Tomás Kozubek, Peter Arbenz, Jirí Jaros, Lubomír Ríha, Jakub Sístek, and Petr Tichy, editors, High Performance Computing in Science and Engineering, pages 39–59, Cham, 2021. Springer International Publishing. (DOI)

  4. Stefan Dohr, Michal Merta, Günther Of, Olaf Steinbach, and Jan Zapletal. A parallel solver for a preconditioned space-time boundary element method for the heat equation. In Ronald Haynes, Scott MacLachlan, Xiao-Chuan Cai, Laurence Halpern, Hyea Hyun Kim, Axel Klawonn, and Olof Widlund, editors, Domain Decomposition Methods in Science and Engineering XXV, pages 108–116, Cham, 2020. Springer International Publishing. (DOI)

  5. Dalibor Lukáš, Günther Of, Jan Zapletal, and Jiří Bouchala. A boundary element method for homogenization of periodic structures. Mathematical Methods in the Applied Sciences, 43(3):1035–1052, 2020. (DOI)

  6. Stefan Dohr, Jan Zapletal, Günther Of, Michal Merta, and Michal Kravčenko. A parallel space–time boundary element method for the heat equation. Computers & Mathematics with Applications, 78(9):2852 – 2866, 2019. Applications of Partial Differential Equations in Science and Engineering. (DOI)

  7. Jan Zapletal, Günther Of, and Michal Merta. Parallel and vectorized implementation of analytic evaluation of boundary integral operators. Eng. Anal. Bound. Elem., 96:194 – 208, 2018. (DOI)

  8. Christoph Erath, Günther Of, and Francisco-Javier Sayas. A non-symmetric coupling of the finite volume method and the boundary element method. Numerische Mathematik, pages 1–28, 2016. (DOI)

  9. Kosala Bandara, Fehmi Cirak, Günther Of, Olaf Steinbach, and Jan Zapletal. Boundary element based multiresolution shape optimisation in electrostatics. Journal of Computational Physics, 297(0):584 – 598, 2015. (doi:10.1016/j.jcp.2015.05.017)

  10. G. Of and O. Steinbach. On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems. Numer. Math., 127(3):567–593, 2014. (DOI)

  11. G. Of, T.X. Phan, and O. Steinbach. An energy space finite element approach for elliptic Dirichlet boundary control problems. Numerische Mathematik, pages 1–26, 2014. (DOI)

  12. D. Amann, A. Blaszczyk, G. Of, and O. Steinbach. Simulation of floating potentials in industrial applications by boundary element methods. Journal of Mathematics in Industry, 4(13):1–15, 2014. (DOI)

  13. M. Karkulik, G. Of, and D. Praetorius. Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement. Numerical Methods for Partial Differential Equations, 29(6):2081–2106, 2013. (DOI)

  14. W. Lemster, G. Lube, G. Of, and O. Steinbach. Analysis of a kinematic dynamo model with FEM–BEM coupling. Mathematical Methods in the Applied Sciences, pages n/a–n/a, 2013. (DOI)

  15. G. Of and O. Steinbach. Is the one-equation coupling of finite and boundary element methods always stable? ZAMM Z. Angew. Math. Mech., 93(6–7):476–484, 2013. (DOI)

  16. Z. Andjelic, G. Of, O. Steinbach, and P. Urthaler. Fast Boundary Element Methods for Industrial Applications in Magnetostatics. In U. Langer, M. Schanz, O. Steinbach, and W.L. Wendland, editors, Fast Boundary Element Methods in Engineering and Industrial Applications, volume 63 of Lecture Notes in Applied and Computational Mechanics, pages 111–143. Springer, Berlin Heidelberg, 2012. (DOI)

  17. G. Of, G. J. Rodin, O. Steinbach, and M. Taus. Coupling of discontinuous Galerkin finite element and boundary element methods. SIAM J. Sci. Comput., 34(3):A1659–A1677, 2012. (DOI)

  18. Günther Of, Thanh Xuan Phan, and Olaf Steinbach. Finite and boundary element energy approximations of Dirichlet control problems. In H.G. Bock, X.P. Hoang, R. Rannacher, and J.P. Schlöder, editors, Modeling, Simulation and Optimization of Complex Processes, pages 219–231. Springer Berlin Heidelberg, 2012. (DOI)

  19. Z. Andjelic, G. Of, O. Steinbach, and P. Urthaler. Boundary element methods for magnetostatic field problems: A critical view. Comput. Visual. Sci., 14:117–130, 2011. (DOI)

  20. E. Hoetzl, G. Of, and W. Ring. Fast Multipole Techniques for a Mumford-Shah Model in X-Ray Tomography. Int. J. Tomogr. Stat., 17(S11):59–71, 2011.

  21. G. Of and O. Steinbach. Coupled FE/BE Formulations for the Fluid-Structure Interaction. In Domain Decomposition Methods in Science and Engineering XIX, volume 78 of Springer Lecture Notes in Computational Science and Engineering, pages 293–300. Springer, 2011. (DOI)

  22. D. Brunner, G. Of, M. Junge, O. Steinbach, and L. Gaul. A fast BE-FE coupling scheme for partly immersed bodies. Int. J. Numer. Methods Eng., 81(1):28–47, 2010. (DOI)

  23. M. Neumayer, G. Of, A. Schwaigkofler, O. Steinbach, G. Steiner, and D. Watzenig. Shape Determination in ECT using an Energy Norm Formulation. In Proceedings of the 14th IGTE Symposium, Graz, 2010.

  24. G. Of, T.X. Phan, and O. Steinbach. Boundary element methods for Dirichlet boundary control problems. Math. Meth. Appl. Sci., 33(18):2187–2205, 2010. (DOI)

  25. G. Of, O. Steinbach, and P. Urthaler. Fast Evaluation of Volume Potentials in Boundary Element Methods. SIAM J. Sci. Comput., 32(2):585–602, 2010. (DOI)

  26. G. Of, W.L. Wendland, and N. Zorii. On the numerical solution of minimal energy problems. Complex Var. Elliptic Equ., 55(11):991–1012, 2010. (DOI)

  27. G. Of and O. Steinbach. The all-floating boundary element tearing and interconnecting method. J. Num. Math., 17(4):277–298, 2009. (DOI)

  28. G. Of, M. Kaltenbacher, and O. Steinbach. Fast multipole boundary element method for electrostatic field computations. COMPEL, 28(2):304–319, 2009. (DOI)

  29. M. Wilken, G. Of, C. Cabos, and O. Steinbach. Efficient Calculation of the Effect of the Water on Ship Vibration. In C. Guedes Soares and P. K. Das, editors, Analysis and Design of Marine Structures, pages 93–101. CRC Press, 2009. (DOI)

  30. K. Kunisch, G. Of, and O. Steinbach, editors. Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria (September 2007). Springer, Berlin Heidelberg, 2008. (DOI)

  31. G. Of. An efficient algebraic multigrid preconditioner for a fast multipole boundary element method. Computing, 82(2-3):139–155, 2008. (DOI)

  32. G. Of. The all-floating BETI method: numerical results. In U. Langer, M. Discacciati, D. Keyes, O. Widlund, and W. Zulehner, editors, Domain Decomposition Methods in Science and Engineering XVII, volume 60 of Lect. Notes Comput. Sci. Eng., pages 295–302, Berlin, 2008. Springer. (DOI)

  33. R. Pail, N. Kühtreiber, B. Wiesenhofer, B. Hofmann-Wellenhof, G. Of, O. Steinbach, N. Höggerl, E. Imrek, D. Ruess, and C. Ullrich. The Austrian Geoid 2007. VGI - Österreichische Zeitschrift für Vermessung & Geoinformation, 1/2008:3–14, 2008.

  34. U. Langer, G. Of, O. Steinbach, and W. Zulehner. Inexact Data-Sparse Boundary Element Tearing and Interconnecting Methods. SIAM Journal on Scientific Computing, 29(1):290–314, 2007. (DOI)

  35. U. Langer, G. Of, O. Steinbach, and W. Zulehner. Inexact Fast Multipole Boundary Element Tearing and Interconnecting Methods. In O. Widlund and D. Keyes, editors, Domain Decomposition Methods in Science and Engineering XVI, volume 55 of Springer Lecture Notes in Computational Science and Engineering, pages 405–412. Springer, 2007. (DOI)

  36. B. Muth, G. Of, P. Eberhard, and O. Steinbach. Collision detection for complicated polyhedra using the fast multipole method or ray crossing. Arch. Appl. Mech., 77(7):503–521, 2007. (DOI)

  37. G. Of. Fast multipole methods and applications. In M. Schanz and O. Steinbach, editors, Boundary Element Analysis. Mathematical Aspects and Applications, volume 29 of Lecture Notes in Applied and Computational Mechanics, pages 135–160. Springer, 2007. (DOI)

  38. G. Of, A. Schwaigkofler, and O. Steinbach. Boundary integral equation methods for inverse problems in electrical engineering. e & i Elektrotechnik und Informationstechnik, 124(7-8):254–259, 2007. (DOI)

  39. G. Of. BETI–Gebietszerlegungsmethoden mit schnellen Randelementverfahren und Anwendungen. Doctoral thesis, Universtät Stuttgart, 2006.

  40. G. Of, O. Steinbach, and W. L. Wendland. The fast multipole method for the symmetric boundary integral formulation. IMA J. Numer. Anal., 26:272–296, 2006. (DOI)

  41. G. Of, O. Steinbach, and W.L. Wendland. Boundary element tearing and interconnecting domain decomposition methods. In R. Helmig, A. Mielke, and B. Wohlmuth, editors, Multifield Problems in Solid and Fluid Mechanics, volume 28 of Lecture Notes in Applied and Computational Mechanics, pages 461–490. Springer, 2006. (DOI)

  42. G. Of, O. Steinbach, and W. L. Wendland. Applications of a fast multipole Galerkin boundary element method in linear elastostatics. Comput. Visual. Sci., 8:201–209, 2005. (DOI)

  43. G. Of. A fast multipole boundary element method for the symmetric boundary integral formulation in linear elastostatics. In K. J. Bathe, editor, Computational Fluid and Solid Mechanics 2003, Proceedings of The Second MIT Conference on Computational Fluid and Solid Mechanics, pages 540–543. Elsevier, 2003. (DOI)

  44. G. Of and O. Steinbach. A fast multipole boundary element method for a modified hypersingular boundary integral equation. In W. Wendland et al., editor, Analysis and simulation of multifield problems. Selected papers of the international conference on multifield problems, Stuttgart, Germany, April 8-10, 2002. Lect. Notes Appl. Comput. Mech. 12, pages 163–169, Berlin, 2003. Springer. (DOI)

  45. G. Of, O. Steinbach, and W. L. Wendland. The fast multipole method for the symmetric boundary integral equation. In Proceedings of the IABEM 2002 Symposium, Austin, 2002.

  46. G. Of. Die Multipolmethode für Randintegralgleichungen. Diploma thesis, Universität Stuttgart, 2001. (PostScript)