Wissenschaftlicher Mitarbeiter
Coudraystraße 13B, Raum 202
99423 Weimar
E-mail: sebastian.bock[at]uni-weimar.de
Telefon: +49 (0) 3643/58 42 83
Forschungsinteressen
- Komplexe und hyperkomplexe Analysis
- Approximations- und Interpolationstheorie
- Spezielle Funktionen
- Funktionentheoretische Methoden in der linear-elastischen Bruchmechanik
Publikationen
Buchkapitel
| Buchkapitel | |
|---|---|
| 2019 | S. Bock, D. Legatiuk: Constructive orthonormalisation of monogenic polynomials on a finite cylinder, In Bernstein, S. (Ed.) Topics in Clifford Analysis, Trends in Mathematics, Birkhäuser Basel, 2019. |
| 2018 | S. Bock: On a hypercomplex version of the Kelvin solution in linear elasticity, In P. Drygás & S. Rogosin (Eds.) Modern Problems in Applied Analysis, Trends in Mathematics, Birkhäuser Basel, 2018. |
Zeitschriftenbeiträge
| Zeitschriftenbeiträge | |
|---|---|
| 2019 | C. Ding, S. Bock, K. Gürlebeck: Construction of Special Solutions for the Maxwell Equations, Advances in Applied Clifford Algebras, 29:95, 2019. |
| S. Bock: A generalized monogenic exponential function in IH, Complex Variables and Elliptic Equations, Volume 64, Issue 11, 2019. | |
| 2018 | C. Ding, S. Bock, K. Gürlebeck: Special bases for solutions of a generalized Maxwell system in 3-dimensional space, Math Meth Appl Sci, 1–19, 2018. |
| S. Bock: Special classes of monogenic functions in IH, Advances in Applied Clifford Algebras, 28:56, 2018. | |
| S. Bock: On a class of monogenic functions with (logarithmic) line singularities, Advances in Applied Clifford Algebras, 28:6, 2018. | |
| 2017 | T. Lahmer, S. Bock, J. Hildebrand, K. Gürlebeck: Non-destructive identification of residual stresses in steel under thermal loadings, Inverse Problems in Science and Engineering, Volume 25 Issue 10, 2017. |
| 2016 | S. Bock, T. Gebhardt, J. Hildebrand, W. Schwarz, A. Almamou, S. Herzog: Qualitätskontrolle von Ingenieurkonstruktionen durch terrestrisches Laserscanning, Allgemeine Vermessungs-Nachrichten (avn), 123:8-9, S. 239-252, 2016. |
| 2015 | S. Bock, K. Gürlebeck, D. Legatiuk and H. M. Nguyen: ψ-Hyperholomorphic Functions and a Kolosov-Muskhelishvili Formula, Mathematical Methods in the Applied Sciences, Volume 38, Issue 18, pages 5114–5123, 2015. |
| 2014 | Weisz-Patrault, D.; Bock, S. and Gürlebeck, K.:Three-dimensional elasticity based on quaternion-valued potentials, International Journal of Solids and Structures, Volume 51, Issue 19-20, p. 3422-3430, 2014. |
| Bock, S. ; Gebhardt, T. ; Kuhne, M.: Entwicklung von faseroptischen Messsystemen In: allgemeine vermessungs-nachrichten (avn) 121 3, S. 97-111, 2014. | |
| Bock, S. ; Gebhardt, T. ; Kuhne, M. ; Schwarz, W.: Ein faseroptischer Sensor zur zweiachsigen Neigungsmessung In: Wissenschaftliche Berichte, Wissenschaftliche Zeitschrift der Hochschule Mittweida. Nr .4, S. 23-26, 2014. | |
| S. Bock: On Monogenic Series Expansions with Applications to Linear Elasticity, Advances in Applied Clifford Algebras, Vol. 24 (4), pp. 931-943, 2014 | |
| Gürlebeck, K.; Hung, M.N.; Bock, S.; Morais, J.: On Orthogonal Monogenics in Oblate Spheroidal Domains and Recurrence Formulae, Integral Transforms And Special Functions, Volume 25, Issue 7, pages 513-527, 2014. | |
| 2012 | Bock, S.: On a three dimensional analogue to the holomorphic z-powers: power series and recurrence formulae, Complex Variables and Elliptic Equations, Volume 57, Issue 12, pages 1349-1370, 2012. |
| Bock, S.: On a three-dimensional analogue to the holomorphic z-powers: Laurent series expansions, Complex Variables and Elliptic Equations, Volume 57, Issue 12, pages 1271-1287, 2012. | |
| Bock, S.; Gürlebeck, K.; Lávicka, R.; Soucek, V.: Gelfand-Tsetlin bases for spherical monogenics in dimension 3, Revista Matemática Iberoamericana, Volume 28, Issue 4, pages 1165-1192, 2012. | |
| 2011 | Stein, P.; Lahmer, T.; Bock, S.: Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau, Bautechnik Sonderdruck, 88 (6), pages 8-11, 2011. |
| 2010 | Bock, S.; Gürlebeck, K.: On a generalized Appell system and monogenic power series, Mathematical Methods in the Applied Sciences, Volume 33, Issue 4, pages 394-411, 2010. |
| 2009 | Bock, S.; Gürlebeck, K.: On a polynomial basis generated from the generalized Kolosov-Muskhelishvili formulae, Advances in Applied Clifford Algebras, Volume 12, Issue 2, pages 191-209, 2009. |
| Bock, S.; Gürlebeck, K.: On a spatial generalization of the Kolosov-Muskhelishvili formulae, Mathematical Methods in the Applied Sciences, Volume 32, pages 223-240, 2009. | |
| 2006 | Cação, I.; Gürlebeck, K.; Bock, S.: On Derivatives of Spherical Monogenics, Complex Variables and Elliptic Equations, Volume 51, pages 847-869, 2006. |
| Bock, S.; Falcão, M.I.; Gürlebeck, K.; Malonek, H.: A 3-dimensional Bergman Kernel Method with Applications to Rectangular Domains, Computational and Applied Mathematics, Volume 189, Issues 1-2, pages 67-79, 1 May 2006. | |
Konferenz- und Tagungsbeiträge
| Konferenz- und Tagungsbeiträge | |
|---|---|
| 2018 | Bock, S.: Rational monogenic functions in IH, In: J. Vigo-Aguiar (Ed.): Proceedings of the 18th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2018), Rota, Cadiz (2018). |
| Bock, S.: On generalized Kolosov-Muskhelishvili formulae for the finite cylinder, AIP Conference Proceedings 1978, 280002 (2018); doi.org/10.1063/1.5043902. | |
| 2017 | Bock, S.: On monogenic functions with line singularities, In: J. Vigo-Aguiar (Ed.): Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017), Rota, Cadiz (2017). |
| 2016 | Gebhardt, T. ; Hildebrand, J.; Schwarz, W. ; Bock, S. ; Herzog, S. ; Almamou, A.: Qualitätssicherung von Brückenbauwerken während der Fertigung und Montage sowie im Betrieb mit terrestrischem Laserscanning, Tagungsband zum 2. Brückenkolloquium: Beurteilung, Ertüchtigung und Instandsetzung von Brücken, Ostfildern/Stuttgart, 21.-22. Juni 2016, S. 311-320. |
| 2014 | Bock, S.; Gebhardt, T.; Kuhne, M.; Schwarz, W.: Konzeption eines zweiachsigen Neigungssensors basierend auf optischmechanischen Prinzipien, (in) Messen in der Geotechnik 2014, J. Gattermann, B. Bruns and C. Kuhn (eds.), Mitteilungen des Institutes für Grundbau und Bodenmechanik TU Braunschweig, Nr.98, 2014, pp. 331-344. |
| 2013 | Bock, S.; Gürlebeck, K.; Legatiuk, D.: Convergence of the finite element method with holomorphic functions, International Conference of Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios, and Ch. Tsitouras (eds.), AIP Conference Proceedings, vol. 1558, 513 (2013). |
| 2012 | Bock, S.; Gürlebeck, K.; Legatiuk, D.: On the coupling between analytical and finite element solutions, (in) Interactions between real and complex analysis, (eds.) Le Hung Son and Wolfgang Tutschke, Science and Technics Publishing House, Hanoi 2012, pp. 3-19. |
| Bock, S.; Gürlebeck, K.; Legatiuk, D.: On a special finite element based on holomorphic functions, International Conference of Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios, and Ch. Tsitouras (eds.), AIP Conference Proceedings, vol. 1479, 2012, pp. 765-768. | |
| 2009 | Bock, S.; Gürlebeck, K.: On an Orthonormal Basis of Solid Spherical Monogenics Recursively Generated by Anti-Holomorphic z-Powers, International Conference of Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios, and Ch. Tsitouras (eds.), AIP Conference Proceedings, vol. 1168, 2009, pp. 308-312. |
| 2008 | Bock, S.; Gürlebeck, K.: On recurrence formulae of solid spherical monogenics, International Conference of Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios, and Ch. Tsitouras (eds.), AIP Conference Proceedings, vol. 1048, 2008, pp. 638-648. |
| 2007 | Bock, S.; Gürlebeck, K.: On hypercomplex differential and primitivation operators with applications to representation formulae of linear elastostatics, International Conference of Numerical Analysis and Applied Mathematics, T.E. Simos, G. Psihoyios, and Ch. Tsitouras (eds.), AIP Conference Proceedings, vol. 936, 2007, pp. 717-720. |
| 2006 | Bock, S.; Gürlebeck, K.: A Coupled Ritz-Galerkin Approach using Holomorphic and Anti-Holomorphic Functions, Proceedings of the 17th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering (IKM), Weimar, 12-14 Juli 2006. |
| 2004 | Cação, I.; Gürlebeck, K.; Bock, S.: Complete Orthonormal Systems of Spherical Monogenics-A Constructive Approach, (eds.) Le Hung Son, W. Tutschke, S. Jain, (in) Methods of Complex and Clifford Analysis (Proceedings of ICAM Hanoi 2004), SAS International Publications. |
| Bock, S.: Ein Algorithmus zur Schnittpunktbestimmung von kubischen Beziér-Kurven, Forum Bauinformatik 2004, Technische Universität Braunschweig. | |
| 2003 | Bock, S.; Falcão, M.I.; Gürlebeck, K.: Applications of Bergman Kernel Functions, Proceedings of the 16th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering (IKM), Weimar, 10-12 Juni 2003. |