Publikationen

Preprints

C. Gerhards, X. Huang, A. Kegeles: Relation between Hardy components for locally supported vector fields on the sphere (2022, arxiv)

Bücher

W. Freeden, C. Gerhards: Geomathematically Oriented Potential Theory, Chapman & Hall/CRC (2012)

Artikel in Fachzeitschriften

2021

M. Sobh, C. Gerhards, H.-J. Götze, I. Fadel: Mapping the thermal structure of southern Africa from Curie depth estimates based on wavelet analysis of magnetic data with uncertainties. Geochem. Geophys. Geosys. (2021)
L. Baratchart, C. Gerhards, A. Kegeles, P. Menzel: Unique reconstruction of simple magnetizations from their magnetic potential. Inverse Problems 37 (2021), 105006 (arxiv)
L. Baratchart, C. Gerhards, A. Kegeles: Decomposition of L²-vector fields on Lipschitz-surfaces: characterization via null-spaces of the scalar potential. SIAM J. Math. Anal. 53 (2021), 4096-4117 (arxiv)
S. Hassan, M. Sultan, M. Sobh, M. S. Elhebiry, K. Zahran, A. Abdeldayem, E. Issawy, S. Kamh: Crustal Structure of the Nile Delta: Interpretation of Seismic-Constrained Satellite-Based Gravity Data. Remote Sens. 13 (2021), 1934.
C. D. N. Tchoukeu, M. Sobh, C. A. Basseka, M. Mouzong, Y. P. Djomani, J. Etame. The mechanical behaviour of the lithosphere beneath the Chad Basin and the Bangui Magnetic Anomaly. Insights from Moho depth and effective elastic thickness estimates, J. Afr. Earth Sci. 182 (2021), 104299
J. Teichmann, P. Menzel, T. Heinig, K. Gerald v.d. Boogaart: Modeling and Fitting of Three-Dimensional Mineral Microstructures by Multinary Random Fields. Math. Geosci. 53 (2021), 877–904

2020

Sobh, M., Ebbing, J., Mansi, A. H., and Götze, H.-J., Emry, E., and Abdelsalam, M.: The Lithospheric Structure of the Saharan Metacraton from 3D Integrated Geophysical-Petrological Modelling. J. Geophys. Res. Solid Earth 125, e2019JB018747 (2020).
C. Gerhards: A Brief Note on the Computation of Silent from Nonsilent Contributions of Spatially Localized Magnetizations on a Sphere. GEM – Int. J. Geomath 11, 25 (2020).
P. Menzel, J. Teichmann, K. Gerald v.d. Boogaart: Efficient representation of Laguerre mosaics with an application to microstructure simulation of complex ore. Math. Geosci. 52, 731–757 (2020).

2019

Sobh, M., Ebbing, J., Mansi, A. H., and Götze, H-J.: Inverse and 3D forward gravity modelling for the estimation of the crustal thickness of Egypt.Tectonophysics,752, 52–67 (2019).
Sobh, M., Mansi, A. H., Ebbing, J., and Campbel, S.: Regional Gravity Field Model of Egypt Based on the Satellite and Ground-Based Data. Pure Appl. Geophys. 176, 767–786 (2019).
C. Gerhards: On the reconstruction of inducing dipole directions and susceptibilities from knowledge of the magnetic field on a sphere, Inv. Probl. Sci. Engin. 27 (2019), 37-60
K. Bachmann, P. Menzel, R. Tolosana-Delgado, M. Hill, C. Schmidt, J. Gutzmer: Multivariate geochemical classification of chromitite seams in the Bushveld Complex, South Africa. Applied Geochemistry 103 (2019) , 106-117.
K. Bachmann, P. Menzel, R. Tolosana-Delgado, M. Hill, C. Schmidt, J. Gutzmer: The use of assay data as a foundation for a geometallurgical model - The case of the Thaba Chromite Mine, South Africa. Journal of Geochemical Exploration 201 (2019), 99-112.

2018

Ngalamo, J.F.G., Sobh, M., Abdelsalam, M. G., Atekwana, E. A., and Dieudonne, B. G.: Lithospheric structure beneath the Central Africa Shear Zone in Cameroon from joint analysis of satellite gravity and passive seismic data. Tectonophysics, 745 (2018), 326–337.
R. Telschow, C. Gerhards, M. Rother: On the approximation of spatial structures of global tidal magnetic field models, Ann. Geophys. 36 (2018), 1393-1402
C. Gerhards: Spherical Potential Theory: Tools and Applications, In: Handbook of Mathematical Geodesy, Editors W. Freeden, Z. Nashed, Springer (2018) (arxiv)
C. Gerhards, S. Pereverzyev Jr., P. Tkachenko: Joint Inversion of Multiple Observations, In: Handbook of Mathematical Geodesy, Editors W. Freeden, Z. Nashed, Springer (2018)
J. Ben Geloun, A. Kegeles, A. G. A. Pithis: Minimizers of the dynamical Boulatov model. European Physical Journal C 12 (2018), 996.
A. Kegeles, D. Oriti, C. Tomlin: Inequivalent coherent state representations in group field theory. Classical and Quantum Gravity 12 (2018).

2017

L. Baratchart, C. Gerhards: On the Recovery of Core and Crustal Components of Geomagnetic Potential Fields, SIAM J. Appl. Math. 77 (2017), 1756-1780 (arxiv)
W. Freeden, C. Gerhards: Romberg extrapolation for Euler summation-based cubature on regular regions, GEM – Int. J. Geomath. 8 (2017), 169-182
C. Gerhards, S. Pereverzyev Jr., P. Tkachenko: A parameter choice strategy for the inversion of multiple observations, Adv. Comp. Math. 43 (2017), 101-112
H.-J. Götze, S. Schmidt, P. Menzel: Integrative interpretation of potential field data by 3D-modeling and visualization. Oil Gas European Magazine 43 (2017), 202-208
A. Kegeles, D. Oriti: Continuous point symmetries in group field theories. Journal of Physics A: Mathematical and Theoretical 12 (2017).

2016

C. Gerhards: On the unique reconstruction of induced spherical magnetizations, Inverse Problems 32 (2016), 015002 (arxiv)
P. Menzel: Constrained indicator data resampling - A parameter constrained irregular resampling method for scattered point data. Geophysics 81 (2016): F27-F36, DOI: 10.1190/geo2015-0220.1.
A. Kegeles, D. Oriti: Generalized conservation laws in non-local field theories. Journal of Physics A: Mathematical and Theoretical 13 (2016), 135401

2015

C. Gerhards: Multiscale Modeling of the Geomagnetic Field and Ionospheric Currents, In: Handbook of Geomathematics, Editors W. Freeden, Z. Nashed, T. Sonar, Springer, 2nd Edition (2015)
M. Augustin, M. Bauer, C. Blick, S. Eberle, W. Freeden, C. Gerhards, M. Ilyasov, R. Kahnt, M. Klug, S. Möhringer, T. Neu, H. Nutz, I. Ostermann, A. Punzi: Modeling Deep Geothermal Reservoirs: Recent Advances and Future Perspectives, In: Handbook of Geomathematics, Editors W. Freeden, Z. Nashed, T. Sonar, Springer, 2nd Edition (2015)
W. Freeden, C. Gerhards, H. Nutz: Modeling Oceanic Flow: From Global Navier-Stokes to Local Geostrophic Wavelet Modeling, In: Encyclopedia of Geodesy, Editor E. Grafarend, Springer (2015)
W. Freeden, C. Gerhards, H. Nutz, M. Schreiner: Disturbing potential from de ections of the vertical: From Globally Reflected Surface Gradient Equation to Locally Oriented Multiscale Modeling, In: Encyclopedia of Geodesy, Editor E. Grafarend, Springer (2015)

2014

C. Gerhards: A Combination of Downward Continuation and Local Approximation for Harmonic Potentials, Inverse Problems 30 (2014), 085004
C. Gerhards: A Multiscale Power Spectrum for the Analysis of the Lithospheric Magnetic Field, GEM – Int. J. Geomath. 5 (2014), 63-79

2012 and earlier

C. Gerhards: Locally Supported Wavelets for the Separation of Spherical Vector Fields with Respect to their Sources, Int. J. Wavel. Multires. Inf. Process. 10 (2012), 1250034
C. Gerhards: Spherical Decompositions in a Global and Local Framework: Theory and an Application to Geomagnetic Modeling, GEM – Int. J. Geomath. 1 (2011), 205–256
W. Freeden, C. Gerhards: Poloidal and Toroidal Field Modeling in Terms of Locally Supported Vector Wavelets, Math. Geosc. 42 (2010), 817-838