Autoren Biografie
Dr. Dimitris Vartziotis Luft- und Raumfahrttechnik (MSc) sowie Bauingenieurwesen (MSc). Seine Promotion erlangte er in Computational Mechanics. Er arbeitete bei IBM Deutschland und gründete später die Unternehmen TWT GmbH Science & Innovation und NIKI Ltd Digital Engineering, die in den Bereichen Automotive, Aerospace und Energy tätig sind.
Seine wissenschaftliche Arbeit konzentriert sich auf Wissenschaftstechnologien und theoretische Mathematik; seine Veröffentlichungen sind bisher in internationalen Wissenschaftsmagazinen erschienen. Er ist Reviewer für die European Mathematical Society (zbMATH) und die American Mathematical Society (AMS). Er veröffentlichte den Essay „Anakrusen“ und diverse Gedichtbände.
Veröffentlichungen:
Vartziotis, D. (2007): Problem Nr. 11328. Am. Math. Month. American Mathematical Society.
Vartziotis, D. / Athanasiadis, T. / Goudas, I. / Wipper, J. (2008): Mesh smoothing using the Geometric Element Transformation Method, Comput. Methods Appl. Mech. Engrg. 197 (45-48) 3760- 3767. Elsevier.
Vartziotis, D. / Wipper, J. (2009): Classification of symmetry generating polygon - transformations and geometric prime algorithms. Math. Pannon. 20 (2) 167-187.
Vartziotis, D. / Wipper, J. (2009): On the construction of regular polygons and generalized Napoleon vertices. Forum Geom. 9 213-223.
Vartziotis, D. / Wipper, J. (2009): The Geometric Element Transformation Method for mixed mesh smoothing, Engrg. Comput. 25 (3) 282-301. Springer.
Vartziotis, D. / Wipper, J. / Schwald, B. (2009): The Geometric Element Transformation Method for tetrahedral mesh smoothing, Comput. Methods Appl. Mech. Engrg. 199 (1-4) 169-182. Elsevier.
Vartziotis, D. (2010): Anakrusen (Essay). Athen: Lefkiselida.
Vartziotis, D. / Wipper, J. (2010): A Dual Element Based Geometric Element Transformation Method for All - Hexahedral Mesh Smoothing, Comput. Methods Appl. Mech. Elsevier.
Vartziotis, D. / Wipper, J. (2010): Characteristic parameter sets and limits of circulant Hermitian polygon transformations, Linear Algebra and its Applications. Elsevier.
Vartziotis, D. (2012): Eros in der Hölle (Gedichte). Athen: Lefkiselida.
Vartziotis, D. / Huggenberger, S. (2012): Iterative geometric triangle Transformation, Elemente der Mathematik. European Mathematical Society, volume 67, Issue 2, pp. 68-83.
Vartziotis, D. / Wipper, J. (2012): Fast smoothing of mixed volume meshes based on the effective geometric element transformation method. Comput. Methods Appl. Mech. Engrg. Elsevier.
Vartziotis, D. / Wipper, J. / Papadrakakis, M. (2012): Improving mesh quality and finite element solution accuracy by GETMe smoothing in solving the Poisson equation, Advances in Engineering Software, Submitted. Elsevier.
Vartziotis, D. (2013): Regentropfen auf den „Manuskripten des Herbstes“ (Gedichte). Athen: Lefkiselida.
Vartziotis, D. / Bohnet, D. “Regularizations of non-euclidean polygons”. In: arXiv:1312.2500 [math.MG] (2013). http://arxiv.org/abs/1312.2500.
Vartziotis, D. / Bohnet, D. Regularizations of non-Euclidean Polygons. arXiv.org, arxiv:1312.2500v1 [math.MG] 27 Nov 2013.
Vartziotis, D. / Himpel, B. Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes. arXiv.org, arXiv:1306.2260v2 [cs.CG] 8 Jul 2013.
Vartziotis, D. / Papadrakakis, A. “Improved GETMe by adaptive mesh smoothing”. In: Computer Assisted Methods in Engineering and Science 20 (2013), pp. 55–71.
Vartziotis, D. (2014): Die Uhr am Balkon der Hölle (Gedichte). Athen: Lefkiselida.
Vartziotis, D. (2014): Geschreie (Gedichte). Athen: Lefkiselida.
Vartziotis, D. (2014): Saat und Bau (Gedichte). Athen: Lefkiselida.
Vartziotis, D. (2014): Stunden des Sommers (Gedichte). Athen: Lefkiselida.
Vartziotis, D. (2014): Wortausgang (Gedichte). Athen: Lefkiselida.
Vartziotis, D. / Bohnet, D. “A geometric mesh smoothing algorithm related to damped oscillations”. In: arXiv:1411.4390 [math.NA] (2014). http://arxiv.org/abs/1411.4390.
Vartziotis, D. / Bohnet, D. “Convergence properties of a geometric mesh smoothing algorithm”. In: arXiv:1411.3869 [math.NA] (2014). http://arxiv.org/abs/1411.3869.
Vartziotis, D. / Bohnet, D. Convergence Properties of a Geometric Mesh Smoothing Algorithm. arXiv.org, arXiv:1411.3869v2 [math.NA] 17 Nov 2014.
Vartziotis, D. / Himpel, B. “Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes”. In: Proceedings of the 22nd International Meshing Roundtable. Ed. by Josep Sarrate and Matthew Staten. Springer International Publishing, 2014, pp. 293–311. Isbn: 978-3-319-02334-2. Doi: 10.1007/978-3-319-02335-9_17. http://dx.doi.org/10. 1007/978-3-319-02335-9_17.
Vartziotis, D. / Himpel, B. “Efficient Mesh Optimization Using the Gradient Flow of the Mean Volume”. In: SIAM Journal on Numerical Analysis 52.2 (2014), pp. 1050–1075. Doi: Vartziotis, D. / Himpel, B. Efficient Mesh Optimization Using the Gradient Flow of the Mean Volume. arXiv.org, arXiv:1302.6066v4 [math.GT] 30 Jan 2014.
10.1137/130914000. Eprint: http://dx.doi.org/10.1137/130914000. http://dx.doi. org/10.1137/130914000.
Vartziotis, D. / Himpel, B. Laplacian Smoothing Revisited. arXiv.org, arXiv:1406.4333v1 [math.OC] 17 Jun 2014.
Vartziotis, D. / Himpel, B. “Laplacian smoothing revisited”. In: arXiv:1406.4333 [math.OC] (2014). http://arxiv.org/abs/1406.4333.
Vartziotis, D. Mathematical Problem 11860. The American Mathematical Monthly. Problems and Solutions, Vol. 122, No. 8, pp. 801-808, October 2015.U. Beyer (Hrsg.).
Vartziotis, D. Curvature Transformation. arXiv.org, arXiv:1608.03898v1 [cs.GR] 22 Jul 2016.
Vartziotis, D. / Tzavellas, A. The β-Functions and their Relation to the Prime Counting Function. arXiv.org, arXiv:1607.08521v1 [math.NT] 22 Jul 2016.
Vartziotis, D. / Bohnet, D. A Geometric Mesh Smoothing Algorithm Related to Dambed Oscillations. arXiv.org, arXiv:1411.4390v2 [math.NA] 27 Sep 2016.
Vartziotis, D. / Bohnet, D. Existence of an Attractor for a Geometric Tetrahedron Transformation. Differential Geometry and its Applications, 49:197 – 207, 2016.
Vartziotis, D. / Bohnet, D. “A geometric mesh smoothing algorithm related to damped oscillations”. Comput. Methods Appl. Mech. Engrg. Elsevier, 2017.
Vartziotis, D. / Bohnet, D. / Himpel, B. “GETOpt: Putting GETMe in the framework of global optimization-based schemes”. Submitted for publication in Int. J. Numer. Meth. Engrg, 2017
