• 8010

    Steyrergasse 30 Graz

    Austria

Research Output 1986 2020

2020

A boundary element method for homogenization of periodic structures

Lukáš, D., Of, G., Zapletal, J. & Bouchala, J., 8 Feb 2020, In : Mathematical methods in the applied sciences.

Research output: Contribution to journalArticleResearchpeer-review

2019

A parallel space–time boundary element method for the heat equation

Dohr, S., Zapletal, J., Of, G., Merta, M. & Kravcenko, M., 2019, In : Computers & mathematics with applications.

Research output: Contribution to journalArticleResearchpeer-review

Boundary integral equations
Boundary element method
Heat Equation
Boundary Elements
Program processors

Boundary element methods for electromagnetic resonance problems in open systems

Unger, G., 2019.

Research output: Contribution to conferencePaperResearch

Convergence analysis of boundary element methods for electromagnetic resonance problems for dielectric and plasmonic scatterers

Unger, G., 2019.

Research output: Contribution to conferenceAbstractResearchpeer-review

On Dirac operators in $$\mathbb {R}^3$$ R 3 with electrostatic and Lorentz scalar $$\delta $$ δ -shell interactions

Behrndt, J., Exner, P., Holzmann, M. & Lotoreichik, V., 2 Sep 2019, In : Quantum Studies: Mathematics and Foundations.

Research output: Contribution to journalArticleResearchpeer-review

On Dirac operators with electrostatic $\delta$-shell interactions of critical strength

Behrndt, J. & Holzmann, M., 18 Sep 2019, In : Journal of spectral theory.

Research output: Contribution to journalArticleResearchpeer-review

Space-Time Methods for Maxwell's Equations

Hauser, J. I. M., 2019.

Research output: Contribution to conferencePosterResearch

Space–time variational methods for Maxwell's equations

Hauser, J. I. M. & Steinbach, O., 18 Nov 2019, Volume19, Issue1 Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Vol. 19. 2 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Open Access

The Landau Hamiltonian with δ-potentials supported on curves

Behrndt, J., Exner, P., Holzmann, M. & Lotoreichik, V., 25 Sep 2019, In : Reviews in mathematical physics.

Research output: Contribution to journalArticleResearchpeer-review

2018

A Local Mesh Modification Strategy for Interface Problems with Application to Shape and Topology Optimization

Gangl, P., 2018, Scientific Computing in Electrical Engineering: SCEE 2016, St. Wolfgang, Austria, October 2016. Springer, Cham, p. 147-155 9 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

An indefinite Laplacian on a rectangle

Behrndt, J. & Krejcirik, D., 2018, In : Journal d'Analyse Mathématique. 134, 2, p. 501-522

Research output: Contribution to journalArticleResearchpeer-review

A spectral shift function for Schrödinger operators with singular interactions

Behrndt, J., Gesztesy, F. & Nakamura, S., 2018, The diversity and beauty of applied operator theory.

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Beyond local effective material properties for metamaterials

Mnasri, K., Khrabustovskyi, A., Stohrer, C., Plum, M. & Rockstuhl, C., 26 Feb 2018, In : Physical Review / B. 97, 7, 075439.

Research output: Contribution to journalArticleResearchpeer-review

Metamaterials
Materials properties
formulations
Maxwell equation
illuminating

Coupling of symmetric operators and the third Green identity

Behrndt, J., Derkach, V., Gesztesy, F. & Mitrea, M., 2018, In : Bulletin of Mathematical Sciences. 8, 1, p. 49-80

Research output: Contribution to journalArticleResearchpeer-review

Open Access

Dirac operators with Lorentz scalar shell interactions

Holzmann, M., Ourmieres-Bonafos, T. & Pankrashkin, K., 2018, In : Reviews in mathematical physics. 30, 5

Research output: Contribution to journalArticleResearchpeer-review

Eigenvalue inequalities for Schrödinger operators on unbounded Lipschitz domains

Behrndt, J., Stadler, S. & Rohleder, J., 2018, In : Journal of spectral theory.

Research output: Contribution to journalArticleResearchpeer-review

Finite rank perturbations in Pontryagin spaces and a Sturm-Liouville problem with λ-rational boundary conditions

Behrndt, J. & Philipp, F., 2018, Indefinite inner product spaces, Schur analysis, and differential equations.

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Novel Modal Approximation Scheme for Plasmonic Transmission Problems

Unger, G., Hohenester, U. & Trügler, A., 2018, In : Physical Review Letters. 121

Research output: Contribution to journalArticleResearchpeer-review

On the spectral properties of Dirac operators with electrostatic delta-shell interactions

Holzmann, M., Behrndt, J., Lotoreichik, V. & Exner, P., 2018, In : Journal de Mathématiques Pures et Appliquées. 111, p. 47-78

Research output: Contribution to journalArticleResearchpeer-review

Parallel and vectorized implementation of analytic evaluation of boundary integral operators

Zapletal, J., Of, G. & Merta, M., 2018, In : Engineering analysis with boundary elements. 96, p. 194-208

Research output: Contribution to journalArticleResearchpeer-review

Preconditioned Space-Time Boundary Element Methods for the One-Dimensional Heat Equation

Dohr, S. & Steinbach, O., 2018, Domain Decomposition Methods in Science and Engineering XXIV.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Sensitivity-Based Topology and Shape Optimization with Application to Electric Motors

Gangl, P., 2018, Frontiers in PDE-Constrained Optimization. Springer New York, Vol. 163. p. 317-340 24 p. (The IMA Volumes in Mathematics and its Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Spectral analysis of photonic crystals made of thin rods

Holzmann, M. & Lotoreichik, V., 2018, In : Asymptotic Analysis. 110, 1-2, p. 83-112

Research output: Contribution to journalArticleResearchpeer-review

Spectral bounds for singular indefinite Sturm-Liouville operators with L1-potentials

Behrndt, J., Schmitz, P. & Trunk, C., 2018, In : Proceedings of the American Mathematical Society.

Research output: Contribution to journalArticleResearchpeer-review

Spectral enclosures for non-self-adjoint extensions of symmetric operators

Behrndt, J., Langer, M., Lotoreichik, V. & Rohleder, J., 2018, In : Journal of Functional Analysis.

Research output: Contribution to journalArticleResearchpeer-review

Spectral shift functions and Dirichlet-to-Neumann maps

Behrndt, J., Gesztesy, F. & Nakamura, S., 2018, In : Mathematische Annalen.

Research output: Contribution to journalArticleResearchpeer-review

Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial

Feis, J., Mnasri, K., Khrabustovskyi, A., Stohrer, C., Plum, M. & Rockstuhl, C., 5 Sep 2018, In : Physical Review / B. 98, 11, 115409.

Research output: Contribution to journalArticleResearchpeer-review

Metamaterials
polaritons
indication
vacuum
polarization
2017

A non-symmetric coupling of the finite volume method and the boundary element method

Erath, C., Of, G. & Sayas, F. J., 2017, In : Numerische Mathematik. 135, 3, p. 895-922 28 p.

Research output: Contribution to journalArticleResearchpeer-review

Finite volume method
Boundary element method
Finite Volume Method
Boundary Elements
Finite Volume Element

Approximation of Schrödinger operators with delta-interactions supported on hypersurfaces

Behrndt, J., Holzmann, M., Exner, P. & Lotoreichik, V., 2017, In : Mathematische Nachrichten. 290

Research output: Contribution to journalArticleResearchpeer-review

Combined boundary integral equations for acoustic scattering-resonance problems

Unger, G. & Steinbach, O., 2017, In : Mathematical methods in the applied sciences. 40, p. 1516-1530

Research output: Contribution to journalArticleResearchpeer-review

Convergence analysis of a Galerkin boundary element method for electromagnetic eigenvalue problems

Unger, G., 2017, Berichte aus dem Institut für Angewandte Mathematik.

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Mortar Domain Decomposition Methods for Quasilinear Problems and Applications

Gsell, M. A. F., Brenn, G. (ed.), Holzapfel, G. (ed.), von der Linden, W. (ed.), Schanz, M. (ed.) & Steinbach, O. (ed.), 2017, Verlag der Technischen Universität Graz. (Monographic Series TU Graz, Computation in Engineering and Science (CES))

Research output: Book/ReportBookResearchpeer-review

One-Dimensional Diffusion Equation for the Particle Size Distribution of Perlite Filter Granulation

Tomantschger, K., Petrović, D. V., Radojević, R. L. & Tadić, V., 2017, In : Tehnicki vjesnik = Technical gazette. 24, 3, p. 943-948 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Granulation
Particle size analysis
Particle size
Exponential functions
Mean square error

On the index of meromorphic operator-valued functions and some applications

Behrndt, J., Gesztesy, F., Holden, H. & Nichols, R., 2017, Functional Analysis and Operator Theory for Quantum Physics. European Mathematical Society

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

On the influence of the wall shear stress vector form on hemodynamic indicators

John, L., Pustějovská, P. & Steinbach, O., 1 Aug 2017, In : Computing and Visualization in Science. 18, 4-5, p. 113-122 10 p.

Research output: Contribution to journalArticleResearchpeer-review

Wall Shear Stress
Hemodynamics
Shear stress
Newtonian Fluid
Stabilized Finite Element Method

Quasi boundary triples and semibounded self-adjoint extensions

Behrndt, J., Langer, M., Lotoreichik, V. & Rohleder, J., 2017, In : Proceedings / Royal Society of Edinburgh / A.

Research output: Contribution to journalArticleResearchpeer-review

Recent development of robust monolithic fluid-structure interaction solvers

Langer, U. & Yang, H., 2017, Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers. Frei, S., Holm, B., Richter, T., Wick, T. & Yang, H. (eds.). Berlin: deGruyter, p. 169-192 (Radon Series on Computational and Applied Mathematics; vol. 20).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Scattering matrices and Dirichlet-to-Neumann maps

Behrndt, J., Malamud, M. & Neidhardt, H., 2017, In : Journal of Functional Analysis.

Research output: Contribution to journalArticleResearchpeer-review

Schrödinger operators and singular infinite rank pertubations

Kühn, C., Brenn, G. (ed.), Holzapfel, G. (ed.), von der Linden, W. (ed.), Schanz, M. (ed.) & Steinbach, O. (ed.), 2017, Verlag der Technischen Universität Graz. (Monographic Series TU Graz, Computation in Engineering and Science (CES))

Research output: Book/ReportBookResearchpeer-review

Spectral theory for Schrödinger operators with delta-interactions supported on curves in R^3

Behrndt, J., Frank, R., Kühn, C., Lotoreichik, V. & Rohleder, J., 2017, In : Annales Henri Poincaré. 18, 4, p. 1305-1347

Research output: Contribution to journalArticleResearchpeer-review

The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials

Behrndt, J. & ter Elst, T., 2017, In : Discrete and Continuous Dynamical Systems / Series S. 10, p. 661-671

Research output: Contribution to journalArticleResearchpeer-review

Topology and Shape Optimization with Application to Electrical Machines

Gangl, P., 2017, Trauner Verlag. 222 p. (Schriftenreihe Advances in Mechatronics)

Research output: Book/ReportBookResearch

Trace formulae for Schrödinger operators with singular interactions

Behrndt, J., Lotoreichik, V. & Langer, M., 2017, Functional Analysis and Operator Theory for Quantum Physics. European Mathematical Society

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

2016

Boundary triples for Schrödinger operators with singular interactions on hypersurfaces

Behrndt, J., Langer, M. & Lotoreichik, V., 2016, In : Nanosystems = Nanosistemy: Physics, Chemistry, Mathematics. 7

Research output: Contribution to journalArticleResearchpeer-review

Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R

Behrndt, J., Schmitz, P. & Trunk, C., 2016, Proceedings in Applied Mathematics and Mechanics. Vol. 16.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions

Behrndt, J., Gesztesy, F., Holden, H. & Nichols, R., 2016, In : Journal of differential equations. 261, 5, p. 3551–3587

Research output: Contribution to journalArticleResearchpeer-review

Eigenvalue estimates for operators with finitely many negative squares

Behrndt, J., Möws, R. & Trunk, C., 2016, In : Opuscula mathematica. 36

Research output: Contribution to journalArticleResearchpeer-review

Robust and efficient monolithic fluid-structure-interaction solvers

Langer, U. & Yang, H., 5 Feb 2016, In : International journal for numerical methods in engineering. 108, 4

Research output: Contribution to journalArticleResearchpeer-review