Konferenz- und Tagungsbeiträge

2020 - 2016

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), ISBN: 978-84-617-8694-7
D. Legatiuk, H. Nilsson, Abstract modelling: towards a typed declarative language for the conceptual modelling phase. Proceedings of 8th International Workshop on Equation-Based Object-Oriented Modeling Languages and Tools, Munich, Germany, December 2017 (EOOLT 2017)
Yu. Grigor'ev, K. Gürlebeck, D. Legatiuk, Quaternionic formulation of a Cauchy problem for the Lame equation. AIP Conference proceedings, 2017, accepted
Yu. Grigor'ev, K. Gürlebeck, D. Legatiuk, Interpolation problem for the solutions of linear elasticity equations based on monogenic functions. AIP Conference proceedings 1907, 030054, 2017
D. Legatiuk, M. Theiler, K. Dragos, K. Smarsly, A categorical approach towards metamodeling cyber-physical systems. Proceedings of the 11th International Workshop on Structural Health Monitoring (IWSHM). Stanford, CA, USA, September 12, 2017
D. Legatiuk, K. Dragos, K. Smarsly, Modeling and evaluation of cyber-physical systems in civil engineering. Proceedings in Applied Mathematics and Mechanics, 2017
Y. Grigor´ev, K. Gürlebeck, D. Legatiuk, Interpolation problem for the solutions of linear elasticity equations based onmonogenic functions, AIP Conference Proceedings 1907, 030054 (2017), DOI: 10.1063/1.5012676
K. Gürlebeck, U. Kähler, D. Legatiuk, Interpolation problem arising in a coupling of the finite element method with holomorphic basis functions. AIP Conference proceedings, Volume 1648, 2015. DOI: 10.1063/1.4912655.

2015 - 2011

A. Hommel and K. Gürlebeck, The Relationship Between Linear Elasticity Theory and Complex Function Theory Studied on the Basis of Finite Differences, 20th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, K. Gürlebeck and T. Lahmer (eds.), Weimar, Germany, 20-22 July 2015
Z. R. Al-Yasiri , K. Gürlebeck, On Boundary Value Problems for p-Laplace and p-Dirac Equations, 20th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, K. Gürlebeck and T. Lahmer (eds.), Weimar, Germany, 20-22 July 2015
T. Lahmer, S. Bock, J. Hildebrand, K. Gürlebeck, Identification of Residual Stresses in Steel under Uncertain Model Components, Proceedings of the 12th International Probabilistic Workshop 2014, Weimar, Editors: T. Lahmer, M. Huber, D. Proske, T. Most, F. Werner, DOI: 10.1466/20141125.01
F. Scheiber, H.B. Motra, D. Legatiuk, F. Werner, Model coupling in structural engineering application. Proceedings of the International Probabilistic Workshop 2014, Weimar, 2014
K. Gürlebeck, U. Kähler, D. Legatiuk, Interpolation problem arising in a coupling of finite element method with holomorphic basis functions. AIP Conference proceedings, accepted, 2014
K. Gürlebeck, H. M. Nguyen and D. Legatiuk, An additive decomposition of harmonic functions in R^3, B. Murgante et al. (Eds.): ICCSA 2014, Part I, LNCS 8579, pp. 189–203, 2014, Springer International Publishing Switzerland 2014
S. Bock, K. Gürlebeck and D. Legatiuk, Convergence of the Finite Element Method with Holomorphic Functions, AIP Conf. Proc. 1558, pp. 513-516; 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ISBN: 978-0-7354-1184-5, Editors: Theodore Simos , George Psihoyios and Ch. Tsitouras
K. Gürlebeck and H. M. Nguyen: On ψ -hyperholomorphic Functions in R^3, AIP Conf. Proc. 1558, pp. 496-501; 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ISBN: 978-0-7354-1184-5, Editors: Theodore Simos , George Psihoyios and Ch. Tsitouras
M. H. Nguyen, On orthogonal monogenics in oblate spheroidal domains and recurrence formulae, 9th International ISAAC Congress, Cracow, Poland, 5 - 9 August, 2013
D. Legatiuk, On the coupling of function theoretic methods and the finite element method for a boundary value problem with singularity, 9th International ISAAC Congress, Cracow, Poland, 5 - 9 August, 2013
K. Gürlebeck, On M-conformal mappings and their geometric properties, 9th International ISAAC Congress, Cracow, Poland, 5 - 9 August, 2013
S. Bock, K. Gürlebeck, and D. Legatiuk, On a special finite element based on holomorphic functions, AIP Conf. Proc. 1479, pp. 308-312; NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics, Date: 19–25 September 2012, Kos, Greece
K. Gürlebeck: Geometric properties of quaternion valued monogenic functions, 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012, Vienna, 11.07.2012 - 14.07.2012
K. Avetisyan; K. Guerlebeck; J. Morais: On Riesz systems of harmonic conjugates in R3, 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012, Vienna, 11.07.2012 - 14.07.2012
D. Legatiuk; S. Bock; K. Guerlebeck: The problem of coupling between analytical solution and finite element method, 19th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, IKM 2012, Weimar, July 2012
M. H. Nguyen; K. Gürlebeck: On m-conformal mappings and geometric properties, 19th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, IKM 2012, Weimar, July 2012
Y. Yang; K. Gürlebeck; T. Schanz; H. Steeb: Thermo-Hydro-Mechanical coupling analysis of saturated poroelastic column fulfilling thermal non-equilibrium condition, 19th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, IKM 2012, Weimar, July 2012
K. Gürlebeck: TBA, 8th Symposium on Clifford Analysis and Applications, ICNAAM 2011, Greece
K. Gürlebeck, O. Suzuki, Ch. Hadlich: Two Theorems for Iteration Dynamical Systems of DiscreteLaplacians on the Plane Lattice and Associated Binominal and Trinominal Sequences, 9th International Conference on Clifford Algebras and their Applications, ICCA9, Weimar, July 2011

2010 - 2005

K. Gürlebeck: Symposium in honour of Richard Delanghe the father of Clifford analysis, University of Ghent, Ghent, Belgium, December 2010
K. Gürlebeck: Monogenic power series and applications, 18th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, China, Macau, August 2010
S. Bock: Orthogonal Appell bases in dimensions 2, 3 and 4, In: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 1281 (2010) Vol. 2, pp. 1447-1450
K. Gürlebeck and J. Morais: On the Construction of Harmonic Conjugates in the Context of Quaternionic Analysis, In: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 1281 (2010) Vol. 2, pp. 1496-1499
K. Gürlebeck and J. Morais: Local Properties of Monogenic Mappings, in: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 1168 (2009) Vol. 1, pp. 797-800
K. Gürlebeck, R. S. Kraußhar, and S. Poedts; A Quaternionic Approach to Treat the Ideally Stationary Magnetohydrodynamic Equations, in: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 1168 (2009) Vol. 1,pp. 789-792
S. Bock and K. Gürlebeck: On an Orthonormal Basis of Solid Spherical Monogenics Recursively Generated by Anti-Holomorphic -Powers, in: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 1168 (2009) Vol. 1,pp. 765-768
K. Gürlebeck, J. Morais: On the development of Bohr phenomenon in the context of Quaterninonic analysis and related problems, submitted to the Proceedings of the 17-th ICFIDCA, Ho Chi Minh City 2009
Susanne Nikulla, Carsten Könke, Klaus Gürlebeck, Thomas Most: Influence of the abstraction level in kinematical models of finite element formulations, E. Onate and D.R.J. Owen (Eds), X International Conference on Computational Plasticity, COMPLAS X c CIMNE, Barcelona, 2009
S. Bock and K. Gürlebeck: On Recurrence Formulae of Solid Spherical Monogenics, in: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 1048, p. 638-641, 2008
K. Gürlebeck and J. Morais, Hadamard’s Real Part Theorem for Monogenic Functions, in: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 1048, p. 654-657, 2008
K. Gürlebeck and J. Morais, Bohr’s Theorem for monogenic functions, in: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 936, p. 750-753, 2007
S. Bock and K. Gürlebeck: On Hypercomplex Differential and Primitivation Operators with Applications to Representation Formulae of Linear Elastostatics, in: Th. E. Simos, G. Psihoyios and Ch. Tsitouras (Eds.), Numerical Analysis and Applied Mathematics, American Institute of Physics (AIP) Conference Series 936, p. 717-720 , 2007
D. Constales, K. Gürlebeck, R.S. Kraußhar, W. Sprößig, Applications of quaternionic analysis in engineering, Electronic Proceedings 17th IKM 2006, (K. Gürlebeck, C. Könke Editors), Weimar, 12-14 July 2006
S. Bock and K. Gürlebeck, A coupled Ritz-Galerkin approach using holomorphic and anti-holomorphic functions, 17th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, K. Gürlebeck and C. Könke (eds.), Weimar, Germany, 12–14 July 2006
Wuttke, F., Markwardt, K., Schanz, T.: Application of time-frequency methods, wavelet analysis, conventionally strategies and coda wave interferometry to monitor the wavevelocities due to parameter changes in granular multi-phase materials., International Congress of Theoretical and Applied Mechanics, Borovets, Bulgaria, 2009
Wuttke. F., Markwardt, K., Schanz, T.: Anwendungen der Wavelet-Transformation in bodendynamischen ex- und in-situ Untersuchungen., 3. VDI - Tagung Baudynamik, Kassel, 2009
K. Markwardt: Wavelet analysis and frequency band decompositions. 17th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering 99421 Weimar, July 2006
K. Markwardt: Application of fast wavelet transformation in parametric system identification. 4th International Conference on Wavelet Analysis and Its Applications, University of Macau, China, Nov. 2005
M. Brehm, K. Markwardt and V. Zabel: Applications of Wavelet Packets in System Identification. Univ. du Luxembourg, March 28 - April 1, 2005. Jahrestagung der Gesellschaft für Angewandte Mathematik und Mechanik e.V. (GAMM)

2004 - 2000

K. Gürlebeck and I. Cacao: Monogenic Primitives of Monogenic Functions, in: Simos, T.E. (ed.); Tsitouras, Ch. (ed.): ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10--14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). [B] Weinheim: Wiley-VCH. (2004)
S. Bock, M. I. Falcao and K. Gürlebeck, Applications of Bergman kernel functions, in: K. Gürlebeck, L. Hempel, C. Könke (Editors): Proceedings 16th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar 2003, ISSN 1611-4086
A. Hommel and K. Gürlebeck, Finite Difference Approximations of the Cauchy-Riemann Operators and the Solution of Discrete Stokes and Navier-Stokes Problems in the Plane, in: K. Gürlebeck, L. Hempel, C. Könke (Editors): Proceedings 16th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar 2003, ISSN 1611-4086
H. Pastor, O.Kornadt und K.Gürlebeck: Numerische Untersuchungen zum Thermischen Strömungsverhalten im Aufwindkraftwerk, in: K. Gürlebeck, L. Hempel, C. Könke (Editors): Proceedings 16th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar 2003, ISSN 1611-4086
Cacao and K. Gürlebeck, A complete system of homogeneous monogenic polynomials and their derivatives, PROGRESS IN ANALYSIS, Proceedings of the 3rd International ISAAC Congress, Volume I, Editors H. Begehr, R. Gilbert, M.W. Wong, World Scientific, New Jersey, London, Singapore, Hong Kong, 2003
K. Gürlebeck and A. Hommel, On Discrete Stokes and Navier-Stokes Equations in the Plane, PROGRESS IN ANALYSIS, Proceedings of the 3rd International ISAAC Congress, Volume I, Editors H. Begehr, R. Gilbert, M.W. Wong, World Scientific, New Jersey, London, Singapore, Hong Kong, 2003
K. Gürlebeck and A. El-Sayed, Integral norms for hyperholomorphic Bloch-functions in the unit ball of R^3, PROGRESS IN ANALYSIS, Proceedings of the 3rd International ISAAC Congress, Volume I, Editors H. Begehr, R. Gilbert, M.W. Wong, World Scientific, New Jersey, London, Singapore, Hong Kong, 2003
K. Gürlebeck, On polynomial approximations of monogenic functions, Memoria 3er Congreso Internacional de Ingeneria Electromecanica y de Sistemas, 25.--29.11.2002, IPN, Mexico City, pp.126—130
K. Gürlebeck, A. Hommel, K. Volke: Beitrag zur mathematischen Modellierung der Zementhydration. Tagungsbericht zur 14. Internationalen Baustofftagung in Weimar, S. 2-0405—2-0414
K. Gürlebeck, On some weighted spaces of quaternion-valued functions, Proceedings of the Second ISAAC Congress Vol. 2, (ed. H. Begehr, R.P. Gilbert, J. Kajiwara), Kluwer Acad. Publ. (2000), pp. 1387—1401
M. Brehm, V. Zabel and K. Markwardt: Applications of biorthogonal Wavelets in System Identification. In P. Neittaanmäki, T. Rossi, K. Majava, and O.Pironneau, editors, Proc. of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2004), Jyväskylä, Finland, July 24–28 2004
K. Markwardt: Biorthogonale Wavelet-Systeme in der Parameteridentifikation, Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen 10. -12. Juni 2003, Bauhaus-Universität Weimar, 99421 Weimar, K. Gürlebeck, L. Hempel, C. Könke
K. Markwardt and V. Zabel: Betrachtungen zur Anwendung der Wavelet-Transformation in der Systemidentifikation. 6. Internationales Institutskolloquium, Bauhaus-Universität Weimar, 99421 Weimar, Juli 2000. Ch. Bucher, G. Burkhardt, M. Vormwald

1999 - 1995

K. Gürlebeck: Application of Quaternionic Analysis to the Solution of Higher Order Elliptic Systems, in Proceedings des Symposiums "Analytical and Numerical Methods in Quaternionic and Clifford Analysis'', Seiffen, 5.6.-7.6.96

1994 - 1990

K. Markwardt: Ein Beitrag zur exakten Integration von Randintegralen der Kontinuumsmechanik, Conference: Composite Research in Solid Mechanics, Dec. 5 and 6, 1991, ICA, Univ. of Stuttgart

1989 - 1985

K. Gürlebeck, W. Sprößig, M. Tasche: Numerical realization of boundary collocation methods; Int. Series of Num. Math., Vol. 75, Birkhäuser-Verlag Basel, 1985, 206-217