Publications

Recent Work

H. Egger, F. Engertsberger, L. Domenig, K. Roppert, and M. Kaltenbacher.
On energy consistent vector hysteresis operators.
JKU Linz, 10/2024
arxiv:2410.11705
H. Egger and M. Fritz.
Well-posedness, long-time behavior, and discretization of some models of nonlinear acoustics in velocity–enthalpy formulation.
JKU Linz, 09/2024
arxiv:2409.01067
H. Egger, F. Engertsberger, L. Domenig, K. Roppert, and M. Kaltenbacher.
On nonlinear magnetic field solvers using local Quasi-Newton updates.
JKU Linz, 09/2024
arxiv:2409.01015
H. Egger, K. Hellmuth, N. Philippi, and M. Schlottbom.
A kinetic chemotaxis model and its diffusion limit in slab geometry.
JKU Linz, 09/2024
arxiv:2408.17243
H. Egger, F. Engertsberger, and B. Radu.
On the convergence of higher order finite element methods for nonlinear magnetostatics.
JKU Linz, 08/2024
arxiv:2408.12283
H. Egger, F. Engertsberger, and B. Radu.
A reduced scalar potential approach for magnetostatics avoiding the coenergy.
JKU Linz, 05/2024
arxiv:2405.01082
H. Egger, I. Cortes Garcia, V. Shashkov, M. Wisheu.
A magnetic oriented approach to the systematic coupling of field and circuit equations.
JKU Linz, 04/2024
arxiv:2404.15438
H. Egger, F. Engertsberger, and B. Radu.
Global convergence of iterative solvers for problems of nonlinear magnetostatics.
JKU Linz, 03/2024
arxiv:2403.18520
H. Egger, F. Engertsberger, and K. Roppert.
Stability and convergence of the penalty formulation for nonlinear magnetostatics.
JKU Linz, 03/2024
arxiv:2403.18285
M. Mandlmayr and H. Egger.
On implicit interpolation models for nonlinear anisotropic magnetic material behavior.
JKU Linz, 11/2023
arxiv:2311.02380
H. Egger, F. Engertsberger, and B. Radu.
An efficient mixed finite element method for nonlinear magnetostatics and quasistatics.
JKU Linz, 11/2023
arxiv:2311.14019
H. Egger, J. Giesselmann.
Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization.
JKU Linz, 05/2023
arXiv:2305.18886
V. Bosboom, H. Egger, M. Schlottbom.
Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force.
JKU Linz, 04/2023
arXiv:2304.01937

2024

H. Egger, S. Kurz, and R. Löscher.
On the exponential stability of uniformly damped wave equations.
Results in Applied Mathematics 24 (2024), 100502.
doi.org/10.1016/j.rinam.2024.100502
T. Thoma, P. Kotyczka, H. Egger.
On the velocity-stress formulation for geometrically nonlinear elastodynamics and its structure-preserving discretization.
Math. Comput. Model. Dyn. Sys., 2024, accepted.
arxiv:2202.02097
A. Brunk, H. Egger, and O. Habrich.
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling.
Appl. Num. Math. 206 (2024), 12-28.
doi.org/10.1016/j.apnum.2024.07.016
H. Egger, B. Radu.
A Yee-like finite-element scheme for Maxwell's equations on unstructured grids.
IMA J. Numer. Anal. , 2024, drae023.
doi.org/10.1093/imanum/drae023
A. Brunk, H. Egger, T. D. Oyedeji, Y. Yang, B.-X. Xu.
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling.
Nonlinear Analysis: Real World Applications 77 (2024), 104051.
doi.org/10.1016/j.nonrwa.2023.104051

2023

T. D. Oyedeji, Y. Yang, H. Egger, and B.-X. Xu.
Variational quantitative phase-field modeling of non-isothermal sintering process.
Physical Review E, 108 (2023). 025301.
doi.org/10.1103/PhysRevE.108.025301
A. Brunk, H. Egger, O. Habrich, and M. Lukacovy-Medvidova.
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system.
Math. Model. Appl. Sci. 33 (2023), 2587-2627.
doi.org/10.1142/S0218202523500562
H. Egger and N. Philippi.
A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks.
ESAIM: M2AN 57 (2023), 2077-2095.
doi.org/10.1051/m2an/2023044
A. Brunk, H. Egger, and O. Habrich.
On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation.
Inverse Problems 39 (2023), 065002.
doi:10.1088/1361-6420/acca44
H. Egger and J. Giesselmann.
Stability and asymptotic analysis for instationary gas transport via relative energy estimates.
Numerische Mathematik 153 (2023), 701-728.
doi:10.1007/s00211-023-01349-9
A. Brunk, H. Egger, O. Habrich, and M. Lukacova-Medvidova.
Stability and discretization error analysis for the Cahn–Hilliard system via relative energy estimates.
ESAIM: M2AN 57 (2023), 1297-1322.
doi.org/10.1051/m2an/2023017
H. Egger and V. Shashkov.
On higher order passivity preserving schemes for nonlinear Maxwell's equations.
In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1. Lecture Notes in Computational Science and Engineering, vol 137. Springer, 2023.
doi:10.1007/978-3-031-20432-6_16
H. Egger and B. Radu.
A Yee-like finite element scheme for Maxwell's equations on hybrid grids.
In: Scientific Computing in Electrical Engineering SCEE 2022, Amsterdam, The Netherlands, accepted.
arXiv:2209.10432

2022

M. Kaltenbacher, K. Roppert, L. D. Domenig, and H Egger
Comparison of Energy Based Hysteresis Models.
COMPUMAG 2022, pp. 1-4.
doi:10.1109/COMPUMAG55718.2022.9827509
I. Cortes Garcia, H. Egger, and V. Shahskov
MONA -- A magnetic oriented nodal analysis for electric circuits.
Int. J. Circuit Theory Appl. 20 (2022), 2997-3012.
doi:10.1002/cta.3301
H. Egger, J. Giesselmann, T. Kunkel and N. Philippi
An asymptotic-preserving discretization scheme for gas transport in pipe networks.
IMA J. Numer. Math. (2022), drac032.
doi:10.1093/imanum/drac032
H. Egger, M. Harutyunyan, R. Löscher, M. Merkel and S. Schöps
On torque computation in electric machine simulation by harmonic mortar methods.
Journal of Mathematics in Industry 12 (2022), art.no. 6
doi:10.1186/s13362-022-00121-2
Y. Yang, M. Fathidoost, T. D. Oyedeji, P. Bondi, X. Zhou, H. Egger and B.-X. Xu
A diffuse-interface model of anisotropic interface thermal conductivity and its application in thermal homogenization of composites.
Scripta Materialia 212 (2022), 114537
doi:10.1016/j.scriptamat.2022.114537

2021

J. Dölz, H. Egger, and M. Schlottbom.
A model reduction approach for inverse problems with operator valued data.
Numer. Math. 148 (2021, 889–917.
doi:10.1007/s00211-021-01224-5
A. Brunk, B. Dünweg, H. Egger, O. Habrich, M. Lukacova-Medvidova, and D. Spiller.
Analysis of a viscoelastic phase separation model.
J. Phys.: Condens. Matter 33 (2021), 234002.
doi:10.1088/1361-648x/abeb13
J. Dölz, H. Egger and V. Shashkov.
A fast and oblivious matrix compression algorithm for Volterra integral operators.
Advances in Computational Mathematics 47 (2021), art. no. 81.
doi:10.1007/s10444-021-09902-6
H. Egger and B. Radu.
A second order finite element method with mass lumping for Maxwell''s equations on tetrahedra.
SIAM J. Numer. Anal. 59 (2021), 864–885.
doi:10.1137/20M1318912
D. Spiller, A. Brunk, O. Habrich, H. Egger, M. Lukacova-Medvidova, and B. Duenweg.
Systematic derivation of hydrodynamic equations for viscoelastic phase separation.
J. Phys.: Condens. Matter 33 (2021) 364001.
doi:0.1088/1361-648X/ac0d17
H. Egger and M. Sabouri.
On the structure preserving high-order approximation of quasistatic poroelasticity.
Math. Comp. Sim. 189 (2021), 237-252.
doi:10.1016/j.matcom.2020.12.029
H. Egger, O. Habrich, and V. Shashkov.
Energy stable Galerkin approximation of Hamiltonian and gradient systems.
Comput. Meth. Appl. Math. 21 (2021), 335-349.
doi:10.1515/cmam-2020-0025
N. Shokina, G. Teschner, A. Bauer, C. Tropea, H. Egger, J. Hennig, and Axel J. Krafft.
Parametric Sequential Method for MRI-based Wall Shear Stress Quantification.
IEEE Trans. Med. Imag. 20 (2021), 1105-1112.
doi:10.1109/TMI.2020.3046331
H. Egger and B. Radu.
A second order finite element method with mass lumping for wave equations in H(div).
In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. LNCSE, vol 139. Springer, Cham.
doi:10.1007/978-3-030-55874-1_78
H. Egger, K. Schmidt, and V. Shashkov.
Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems.
Comput. Appl. Math. 387 (2021), 112618.
doi:10.1016/j.cam.2019.112618
Herbert Egger and Bogdan Radu.
A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra.
SIAM J. Numer. Anal. 59 (2021), 864-885.
doi:10.1137/20M1318912
H. Egger and V. Shashkov.
On energy preserving high-order discretizations for nonlinear acoustics.
In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. LNCSE, vol 139. Springer, Cham.
doi:10.1007/978-3-030-55874-1_34

2020

H. Egger and N. Philippi.
On the transport limit of singularly perturbed convection-diffusion problems on networks.
Math. Meth. Appl. Sci. 2020.
doi:10.1002/mma.7084
H. Egger, J. Dölz, and V. Shashkov.
A convolution quadrature method for Maxwell's equations in dispersive media.
In: van Beurden, M., Budko, N., Schilders, W. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 36. Springer, Cham.
doi:10.1007/978-3-030-84238-3_11
H. Egger, M. Harutyunyan, M. Merkel, and S. Schöps.
On the stability of harmonic mortar methods with application to electric machines.
In: van Beurden, M., Budko, N., Schilders, W. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 36. Springer, Cham.
doi:10.1007/978-3-030-84238-3_12
H. Egger and B. Radu.
A mass-lumped mixed finite element method for acoustic wave propagation.
Numer. Math. 145 (2020), 239-269.
doi:10.1007/s00211-020-01118-y
H. Egger and L. Schöbel-Kröhn.
Chemotaxis on networks: analysis and numerical approximation.
ESAIM: M2AN 54 (2020), 1339-1372.
doi:10.1051/m2an/2019069
H. Egger, T. Kugler, and V. Shashkov.
An inexact Petrov-Galerkin approximation for gas transport in pipeline networks.
In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018, Springer 2020.
doi:10.1007/978-3-030-39647-3_34
H. Egger and N. Philippi.
A hybrid discontinuous Galerkin method for transport problems on networks.
In: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer, 2020.
doi:10.1007/978-3-030-43651-3_45
H. Egger and B. Radu.
On a second order multipoint flux mixed finite element method on hybrid meshes.
SIAM J. Numer. Anal. 58 (2020), 1822-1844.
doi:10.1137/19M1236862
H. Egger, T. Kugler, and B.-L. Sailer.
Stability preserving approximations of a semilinear hyperbolic gas transport model.
In: Proceedings of the XVII International Conference (HYP2018) on Hyperbolic Problems, AIMS (2020), 427-438.
arXiv:1812.03726
A. Böttcher and H. Egger.
Structure Preserving Discretization of Allen–Cahn Type Problems Modeling the Motion of Phase Boundaries.
Vietnam J. Math. 48 (2020), 847-863.
doi:10.1007/s10013-020-00428-w
H. Egger and B. Radu.
A mass-lumped mixed finite element method for Maxwell's equations.
In: Scientific Computing in Electrical Engineering SCEE 2018, Springer, 2020.
doi:10.1007/978-3-030-44101-2_2

2019

H. Egger and M. Schlottbom.
A perfectly matched layer approach for radiative transfer in highly scattering regimes.
SIAM. J. Numer. Anal. 57 (2019), 2166-2188.
doi: 10.1137/18M1172521
H Egger.
Structure preserving approximation of dissipative evolution problems.
Numer. Math. 143 (2019), 85.
doi:10.1007/s00211-019-01050-w
H. Egger and G. Teschner.
On the stable estimation of flow geometry and wall shear stress from magnetic resonance images.
Inverse Problem 35 (2019), 095001.
doi:10.1088/1361-6420/ab23d5
H. Egger and T. Kugler.
Uniform exponential stability of Galerkin approximations for damped wave systems.
Advanced Finite Element Methods with Applications, Springer 2019.
doi: 10.1007/978-3-030-14244-5
A. Bauer, S. Wegt, M. Bopp, S. Jakirlic, C. Tropea, A. Krafft, N. Shokina, J. Hennig, G. Teschner, H. Egger.
Comparison of wall shear stress estimates obtained by laser Doppler velocimetry, magnetic resonance imaging and numerical simulations.
Experiments in Fluids 60 (2019), article id. 112.
doi:10.1007/s00348-019-2758-6
N. Shokina, G. Teschner, A. Bauer, C. Tropea, H. Egger, J. Hennig, A. J. Krafft.
Quantification of wall shear stress in large blood vessels using magnetic resonance imaging.
J. Comput. Techn. 24 (2019), 4-27.
doi:10.25743/ICT.2019.24.4.002
N. Shokina, A. Bauer, G. Teschner, W. B. Buchenberg, C. Tropea, H. Egger, J. Hennig, A. J. Krafft.
MR-based wall shear stress measurements in fully developed turbulent flow using the Clauser plot method.
J. Magn. Res. 305 (2019) 16-21.
doi:10.1016/j.jmr.2019.05.009

2018

R. Burlacu, H. Egger, M. Groß, A. Martin, M. E. Pfetsch, L. Schewe, M. Sirvent, and M. Skutella.
Maximizing the storage capacity of gas networks: a global MINLP approach.
Optimization and Engineering, 2018, p1-31.
doi: 10.1007/s11081-018-9414-5
H. Egger, C. Erath, and R. Schorr.
On the non-symmetric coupling method for parabolic-elliptic interface problems.
SIAM J. Numer. Anal. 56 (2018), 3510-3533.
doi: 10.1137/17M1158276
H. Egger and B. Hofmann.
Tikhonov regularization in Hilbert scales under conditional stability assumptions.
Inverse Problems 34 (2018), 115015.
doi: 10.1088/1361-6420/aadef4
H. Egger, K. Fellner, J.-F. Pietschmann, B. Q. Tang.
A finite element method for volume-surface reaction-diffusion systems.
Appl. Math. Comput. 336 (2018), 351-367.
doi: 10.1016/j.amc.2018.04.031
H. Egger and B. Radu.
Super-convergence and post-processing for mixed finite element approximations of the wave equation.
Numer. Math, 140 (2018), 427-447.
doi: 10.1007/s00211-018-0966-2
H. Egger, T. Kugler, B. Liljegren-Sailer, N. Marheineke, and V. Mehrmann.
On structure-preserving model reduction for damped wave propagation in transport networks.
SIAM J. Sci. Comput. 40 (2018), A331-A365.
doi: 10.1137/17M1125303
H. Egger.
A robust conservative mixed finite element method for isentropic compressible flow on pipe networks.
SIAM J. Sci. Comput. 40 (2017), A108-A129.
doi: 10.1137/16M1094373
H. Egger and T. Kugler.
Damped wave systems on networks: Exponential stability and uniform approximations.
Numer. Math. 138 (2018), 839-867.
doi: 10.1007/s00211-017-0924-4
H. Egger and T. Kugler
An asymptotic preserving mixed finite element method for wave propagation in pipelines.
In: Theory, Numerics and Applications of Hyperbolic Problems I. Springer Proc. In Math. & Stat. 236, 2018.
doi: 10.1007/978-3-319-91545-6_39

2017

H. Egger, J.-F. Pietschmann and M. Schlottbom.
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms.
Inverse Problems 33 (2017), 115005.
doi:10.1088/1361-6420/aa8cae
H. Egger, T. Seitz and C. Tropea.
Enhancement of flow measurements using fluid-dynamic constraints.
J. Comput. Phys. 344 (2017), 558-574.
doi:10.1016/j.jcp.2017.04.080
H. Egger, Thomas Kugler, and Nikolai Strogies.
Parameter identification in a semilinear hyperbolic system.
Inverse Problems 33 (2017), 055022.
doi:10.1088/1361-6420/aa648c

2016

H. Egger and M. Schlottbom.
A class of Galerkin schemes for time-dependent radiative transfer.
SIAM J. Numer. Anal. 54 (2016), 3577-3599.
doi:10.1137/15M1051336

2015

F. Kretzschmar, S. Schnepp, H. Egger, F. Ahmadi, N. Nowak, V. Markel, and I. Tsukerman.
The power of Approximations: Finite Difference, Boundary Difference and Discontinuous Galerkin Methods: Nonreflecting Conditions and Non-Asymptotic Homogenization.
Lecture Notes in Computer Science Vol. 9045, Springer, 2015, pp. 50-61.
doi:10.1007/978-3-319-20239-6_5
H. Egger, F. Kretzschmar, S. Schnepp, and Th. Weiland.
A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equation.
SIAM J. Sci. Comput. 37 ( 2015), B689-B711.
doi:10.1137/140999323
H. Egger, J.-F. Pietschmann, and M. Schlottbom.
Identification of chemotaxis models with volume filling.
SIAM J. Appl. Math. 75 (2015), pp. 275 - 288, 2015.
doi:10.1137/140967222
H. Egger, F. Kretzschmar, S. Schnepp, I. Tsukerman, and T. Weiland.
Transparent boundary conditions in a Discontinuous Galerkin Trefftz method.
Appl. Math. Comput. Volume 267 (2015), pp.42-55.
doi:10.1016/j.amc.2015.06.026
H. Egger, J.-F. Pietschmann, and M. Schlottbom.
Identification of nonlinear heat conduction laws.
J. Inv. Ill-Posed Probl. 23 (2015), 429-437.
doi:10.1515/jiip-2014-0030

2014

H. Egger and M. Schlottbom.
Diffusion asymptotics for linear transport with low regularity.
Asymptotic Analysis 89 (2014) 365–377.
doi:10.3233/ASY-141235
F. Kretzschmar, F. Ahmadi, N. Nowak, S. M. Schnepp, I. Tsukerman, H. Egger and T. Weiland.
Trefftz absorbing boundary conditions in analytical, Discontinuous Galerkin and Finite difference form.
ICEAA 2014, 176-177.
doi:10.1109/ICEAA.2014.6903849
H. Egger and M. Schlottbom.
Numerical methods for parameter identification in stationary radiative transfer.
Comput. Optim. Appl. 2014.
doi:10.1007/s10589-014-9657-9
H. Egger, J.-F. Pietschmann, and Matthias Schlottbom.
Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales.
Inverse Problems, Vol. 30 No. 2, 025004, 2014.
doi:10.1088/0266-5611/30/2/025004
H. Egger, J.-F. Pietschmann, and Matthias Schlottbom.
Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem.
Inverse Problems, Vol. 30 No. 3, 035009, 2014.
doi:10.1088/0266-5611/30/3/035009
H. Egger and M. Schlottbom.
Stationary radiative transfer with vanishing absorption.
M3AS Vol. 24, 973-990, 2014.
doi:10.1142/S0218202513500735

2013

S. Arridge, H. Egger, and M. Schlottbom.
Preconditioning of complex symmetric linear systems with applications in optical tomography.
Appl. Num. Math. 74 (2013) 35-48.
doi:10.1016/j.apnum.2013.06.008
H. Egger and M. Schlottbom.
An Lp theory for stationary radiative transfer.
Applicable Analysis 24 (2013) 973-990.
doi:10.1080/00036811.2013.826798
S. Heinze, M. Joulaian, H. Egger, and A. Düster.
Efficient computation of cellular materials using the finite cell method.
PAMM 204, 251-252.
doi:10.1002/pamm.201410113
H. Egger, U. Rüde, and B. Wohlmuth.
Energy-corrected finite element methods with optimal convergence for corner singularities.
SIAM J. Numer. Anal., 52, 171–193. 2013.
doi:10.1137/120871377

2012

H. Egger and C. Waluga.
hp-Analysis of a Hybrid DG Method for Stokes Flow.
IMA J, Numer. Anal. 33 (2013), 687–721.
doi:10.1093/imanum/drs018
C. Waluga and H. Egger.
An Implementation of Hybrid Discontinuous Galerkin Methods in DUNE.
In: Advances in DUNE, A. Dedner, B. Flemisch, R. Klöfkorn, eds., pp 169-180, Springer, 2012.
doi:10.1007/978-3-642-28589-9_13<
H. Egger and M. Schlottbom.
A Mixed Variational Framework for the Radiative Transfer Equation.
Math. Mod. Meth. Appl. Sci., 22(3), 2012, 1150014.
doi:10.1142/S021820251150014X
H. Egger, C. Waluga.
A hybrid mortar method for incompressible flow.
Int. J. Numer. Anal. Mod., 9 (2012), pp. 793-812.
https://global-sci.org/intro/article_detail/ijnam/659.html
R. Hausmann, C. Kuppe, H. Egger, et. al.
Electrical forces determine glomerular permeability.
J. Amer. Soc. Nephr. 21(12), 2053-2058.
doi:10.1681%2FASN.2010030303

2011

H. Egger, M. Schlottbom.
Efficient Reliable Image Reconstruction Schemes for Diffuse Optical Tomography.
Inv. Probl. Sci. Engrg. 19 (2011), 155-180.
doi:10.1080/17415977.2010.531469
H. Egger and C. Waluga.
A Hybrid Discontinuous Galerkin Method for Darcy-Stokes Problems.
In: Domain Decomposition Methods in Science and Engineering XX, 663-670, 2013.
doi:10.1007/978-3-642-35275-1_79
M. Freiberger, H. Egger, M. Liebmann and H. Scharfetter.
High-performance image reconstruction in fluorescence tomography on desktop computers and graphics hardware.
Biomedical Optics Express 2 (2011), 3207-3222.
doi:10.1364/BOE.2.003207

2010

H. Egger, M. Schlottbom.
Analysis and regularization of Problems in diffuse optical tomography.
SIAM J. Math. Anal. 42 (2010), 1934-1948.
doi:10.1137/090781590
H. Egger, M. Freiberger, M. Schlottbom.
On Forward and Inverse Models in Fluorescence Optical Tomography.
Inverse Problems and Imaging 4 (2010), 411-427.
doi:10.3934/ipi.2010.4.411
M. Freiberger, H. Egger, H. Scharfetter.
Nonlinear Inversion in Fluorescence Optical Tomography.
IEEE Trans. Biomed. Eng. 57 (2010), 2723-2729.
doi:10.1109/TBME.2010.2053035
H. Egger, M. Hanke, C. Schneider, J. Schöberl, S. Zaglmayr.
Adjoint sampling methods for electromagnetic scattering.
Inverse Problems 26 (2010), 074006.
doi:10.1088/0266-5611/26/7/074006

2009

H. Egger, J. Schöberl.
A Hybrid Mixed Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.
IMA J. Num. Anal. 30 (2009) 1206–1234.
doi:10.1093/imanum/drn083
H. Egger, A. Leitao.
Nonlinear regularization methods for ill-posed problems with piecewise constant or strongly varying solutions.
Inverse Problems 25 (2009) 115014.
doi:10.1088/0266-5611/25/11/115014
H. Egger and A. Leitao.
Efficient stable solutions of nonlinear elliptic Cauchy problems with piecewise constant solutions.
Advances in Applied Mathematics and Mechanics 1 (2009), 729-749.
doi:10.4208/aamm.09-m09S03
H. Egger, Y. Heng, W. Marquardt, A. Mhamdi.
Efficient solution of a three-dimensional inverse heat conduction problem in pool boiling.
Inverse Problems 25 (2009), 095006.
doi:10.1088/0266-5611/25/9/095006

2005-2008

H. Egger.
Regularization of inverse problems with large noise.
J. Phys.: Conf. Ser. 124 012022, 2008.
H. Egger.
Y-Scale Regularization.
SIAM J. Numer. Anal. 46 (2008), 419-436.
H. Egger.
Fast fully iterative Newton-type methods for inverse problems.
J. Inv. Ill-posed Problems 15 (2007), 257-276.
H. Egger.
Preconditioning CGNE-Iterations for Inverse Problems.
Numerical Linear Algebra with Applications 14 (2007), 183-196.
H. Egger, T. Hein and B. Hofmann.
On decoupling of volatility smile and term structure in inverse option pricing.
Inverse Problems 22 (2006), 1247-1259.
H. Egger.
Semiiterative Regularization in Hilbert scales.
SIAM J. Numer. Anal. 44 (2006), 66-81.
H. Egger and A. Neubauer.
Preconditioning Landweber iteration in Hilbert scales.
Numer. Math. 101 (2005), 643-662.
H. Egger, H. W. Engl, and M. V. Klibanov.
Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation.
Inverse Problems 21 (2005), 271-290.
H. Egger and H. W. Engl.
Tikhonov regularization applied to the inverse problem of option pricing: Convergence analysis and rates.
Inverse Problems 21 (2005), 1027-1045.
H. Egger.
Recovering Volatility in the Black-Scholes Model.
In: I. Troch and F. Breitenecker, eds. Proceedings of the 4th MATHMOD Vienna, 2003.

Technical Reports

H. Egger, T. Kugler, and W. Wollner.
Numerical optimal control of instationary gas transport with control and state constraints.
TU Darmstadt, 11/2017.
trr154-214
H. Egger.
A mixed variational discretization for non-isothermal compressible flow in pipelines.
TU Darmstadt, 11/2016.
arXiv:1611.03368
H. Egger.
Energy-norm error estimates for finite element discretization of parabolic problems.
TU Darmstadt, 07/2015.
arXiv:1507.05183
H. Egger.
On the Convergence of Modified Landweber Iteration for Nonlinear Inverse Problems.
Technical Report SFB-2010-017.
H. Egger.
A class of hybrid mortar finite element methods for interface problems with non-matching meshes.
Technical Report AICES-2009-2.
H. Egger, A. Leitao.
Stable solutions of nonlinear elliptic Cauchy problems in three dimensional domains.
Technical Report AICES-2008-6.
H. Egger.
Accelerated Newton-Landweber iterations for regularizing nonlinear inverse problems.
SFB-Report 2005-3, January 2005.

Theses

Diploma Thesis:
Identification of Volatility Smile in the Black Scholes Equation via Tikhonov Regularization.
Johannes Kepler University Linz, 2002.
Doctoral Thesis:
Preconditioning iterative regularization in Hilbert Scales.
Johannes Kepler University Linz, 2005.