- U. Hohenester, N. Reichelt, G. Unger: Nanophotonic resonance modes with the nanobem toolbox. Comput. Phys. Commun., 276, 108337,(2022)
arXiv
- U. Hohenester, G. Unger: Nanoscale electromagnetism with the boundary element method, Phys. Rev. B 105, 075428 (2022). arXiv
- G. Unger: Convergence analysis of a Galerkin boundary element method for
electromagnetic resonance problems. Partial Differ. Equ. Appl. (2) 3 (2021), Paper No. 39, 29 pp.
- S. Kurz, S. Schöps, G. Unger, F. Wolf:
Solving Maxwell's Eigenvalue Problem via Isogeometric Boundary Elements and a Contour Integral Method. Math. Methods Appl. Sci. (44) 13 (2021),10790-10803. arXiv.
- M. Holzmann, G. Unger:
Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods.
Oper. Matrices 14 (3) (2020), 555-599. arXiv
- U. Hohenester, G. Unger, A. Trügler:
Novel Modal Approximation Scheme for Plasmonic Transmission Problems. Phys. Rev. Lett. 121, 246802, 2018.
- G. Unger: Convergence analysis of a Galerkin boundary element method for
electromagnetic eigenvalue problems. Technical
Report 2017/2, Institute of Computational Mathematics,
Graz University of Technology, 2017. Technical
report, Extended and revised version.
- O. Steinbach, G. Unger: Combined boundary integral
equations for acoustic scattering-resonance problems. Math. Methods Appl. Sci. 40 (2017), 1516--1530.
- A. Kimeswenger, O. Steinbach, G. Unger:
Coupled finite and boundary element methods for
fluid-solid interaction eigenvalue problems.
SIAM J. Numer. Anal. 52, no. 5 (2014),
2400-2414.
- A. Kimeswenger, O. Steinbach, G. Unger: Coupled
finite and boundary element methods for vibro-acoustic
interface problems. In: Domain Decomposition
Methods in Science and Engineering XXI (J.
Erbel, M. Gander, L. Halpern, G. Pichot, T. Sassi, O.
Widlund eds.). Lecture Notes in Computational Science
and Engineering, vol. 98, Springer, Heidelberg, pp.
507-515, 2014.
- G. Unger: Convergence orders of iterative methods
for nonlinear eigenvalue problems. In Advanced
Finite Element Methods and Applications, volume
66 of Lecture Notes of Applied and Computational
Mechanics, pages 217-238. Springer, New York, 2013.
- C. Effenberger, D. Kressner, O. Steinbach, and G.
Unger. Interpolation-based solution of a nonlinear
eigenvalue problem in fluid-structure interaction. In
Proceedings in Applied Mathematics and Mechanics,
volume 12, pp. 633–634, 2012.
- O. Steinbach, G. Unger:
Convergence analysis of a Galerkin boundary element
method for the Dirichlet Laplacian eigenvalue
problem. SIAM J. Numer. Anal. 50
(2012),710-728.
- G. Unger: Analysis
of Boundary Element Methods for Laplacian Eigenvalue
Problems. Ph.D. thesis, TU Graz, 2009.
- O. Steinbach, G. Unger: A boundary element method
for the Dirichlet eigenvalue problem of the Laplace
operator. Numer. Math.113 (2009), 281-298.
- O. Steinbach, G. Unger: A boundary element
algorithm for the Dirichlet eigenvalue problem of the
Laplace operator. In: Numerical Mathematics and
Advanced Applications. Proceedings of ENUMATH 2007
(K. Kunisch, G. Of, O. Steinbach eds.), Springer,
Heidelberg, pp. 191-198, 2008.
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