Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen OPUS4-3296 Wissenschaftlicher Artikel Nguyen-Thanh, Nhon; Valizadeh, Navid; Nguyen, Manh Hung; Nguyen-Xuan, Hung; Zhuang, Xiaoying; Areias, Pedro; Zi, Goangseup; Bazilevs, Yuri; De Lorenzis, Laura; Rabczuk, Timon An extended isogeometric thin shell analysis based on Kirchhoff-Love theory An extended isogeometric thin shell analysis based on Kirchho_-Love theory 26 Computer Methods in Applied Mechanics and Engineering 265 291 Institut für Strukturmechanik (ISM) OPUS4-2783 Konferenzveröffentlichung Nguyen, Manh Hung; Gürlebeck, Klaus Gürlebeck, Klaus; Lahmer, Tom; Werner, Frank ON M-CONFORMAL MAPPINGS AND GEOMETRIC PROPERTIES Monogenic functions play a role in quaternion analysis similarly to that of holomorphic functions in complex analysis. A holomorphic function with nonvanishing complex derivative is a conformal mapping. It is well-known that in Rn+1, n ≥ 2 the set of conformal mappings is restricted to the set of Möbius transformations only and that the Möbius transformations are not monogenic. The paper deals with a locally geometric mapping property of a subset of monogenic functions with nonvanishing hypercomplex derivatives (named M-conformal mappings). It is proved that M-conformal mappings orthogonal to all monogenic constants admit a certain change of solid angles and vice versa, that change can characterize such mappings. In addition, we determine planes in which those mappings behave like conformal mappings in the complex plane. 7 Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar urn:nbn:de:gbv:wim2-20170314-27833 10.25643/bauhaus-universitaet.2783 Institut für Bauinformatik, Mathematik und Bauphysik (IBMB) OPUS4-2447 Dissertation Nguyen, Manh Hung µ-Hyperholomorphic Function Theory in R³: Geometric Mapping Properties and Applications This thesis applies the theory of \psi-hyperholomorphic functions dened in R^3 with values in the set of paravectors, which is identified with the Eucledian space R^3, to tackle some problems in theory and practice: geometric mapping properties, additive decompositions of harmonic functions and applications in the theory of linear elasticity. 155 urn:nbn:de:gbv:wim2-20150817-24477 10.25643/bauhaus-universitaet.2447 Professur Angewandte Mathematik