Mathematical Research & Services

Dimitris Vartziotis and Joachim Wipper. The fractal nature of an approximate prime counting function. Fractal and Fractional, 1, 1-10, 2017 [DOI | http]
Dimitris Vartziotis and Doris Bohnet. A geometric mesh smoothing algorithm related to damped oscillations. Computer Methods in Applied Mechanics and Engineering 326C (2017), 102-121, [DOI http
Dimitris Vartziotis and Doris Bohnet. Fractal curves from prime trigonometric series. arXiv:1702.05426 [math.DS], 2017 [http]
Dimitris Vartziotis. Curvature Transformation. arXiv:1608.03898 [math.DG], 2016 [http]
Dimitris Vartziotis and Aristos Tzavellas. The ß-functions and their relation to the prime counting function. arXiv:1607.08521 [math.NT], 2016 [http]
Dimitris Vartziotis and Doris Bohnet. Existence of an attractor for a geometric tetrahedron transformation. Differential Geom. Appl., 49, 197-207,2016, [DOI http
Dimitris Vartziotis and Doris Bohnet. Von der Symmetriegruppe des Dreiecks zur Glättung von industriellen Netzen. In: Udo Beyer (Hrsg.): Die Basis der Vielfalt - 10. Tagung der DGfGG, Springer Vieweg, Wiesbaden, 2016, 207-217. [DOI
Dimitris Vartziotis and Benjamin Himpel. Laplacian smoothing revisited. arXiv:1406.4333 [math.OC], 2014. [ http ]
Dimitris Vartziotis and Doris Bohnet. Regularizations of non-euclidean polygons. arXiv:1312.2500 [math.MG], 2013. [ http ]
Dimitris Vartziotis and Benjamin Himpel. Efficient mesh optimization using the gradient flow of the mean volume. SIAM J. Numer. Anal., 52(2), 1050–1075, 2014. [ DOI | http ]
Dimitris Vartziotis and Benjamin Himpel. Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes. Proceedings of the 22nd International Meshing Roundtable, Springer International Publishing, 2014, pp 293-311. [ DOI | http ]
Dimitris Vartziotis and Manolis Papadrakakis. Improved GETMe by adaptive mesh smoothing. Computer Assisted Methods in Engineering and Science, 20:55-71, 2013.
Dimitris Vartziotis, Joachim Wipper, and Manolis Papadrakakis. Improving mesh quality and finite element solution accuracy by GETMe smoothing in solving the Poisson equation. Finite Elem. Anal. Des., 66:36-52, 2013.
Dimitris Vartziotis and Simon Huggenberger. Iterative geometric triangle transformations. Elem. Math., 67(2):68-83, 2012. [ DOI | http ]
Dimitris Vartziotis and Joachim Wipper. Fast smoothing of mixed volume meshes based on the effective geometric element transformation method. Comput. Methods Appl. Mech. Engrg., 201/204:65-81, 2012. [ DOI | http ]
Dimitris Vartziotis and Joachim Wipper. A dual element based geometric element transformation method for all-hexahedral mesh smoothing. Comput. Methods Appl. Mech. Engrg., 200(9-12):1186-1203, 2011. [ DOI | http ]
Dimitris Vartziotis and Joachim Wipper. Characteristic parameter sets and limits of circulant Hermitian polygon transformations. Linear Algebra Appl., 433(5):945-955, 2010. [ DOI | http ]
Dimitris Vartziotis and Joachim Wipper. On the Construction of Regular Polygons and Generalized Napoleon Vertices. Forum Geom., 9:213-223, 2009. [ .html ]
Dimitris Vartziotis and Joachim Wipper. Classification of symmetry generating polygon-transformations and geometric prime algorithms. Math. Pannon., 20(2):167-187, 2009.
Dimitris Vartziotis and Joachim Wipper. The Geometric Element Transformation Method for Mixed Mesh Smoothing. Eng. Comput., 25(3):287-301, 2009.
Dimitris Vartziotis, Joachim Wipper, and Bernd Schwald. The geometric element transformation method for tetrahedral mesh smoothing. Comput. Methods Appl. Mech. Engrg., 199(1-4):169-182, 2009. [ DOI | http ]
Dimitris Vartziotis, Theodoros Athanasiadis, Iraklis Goudas, and Joachim Wipper. Mesh smoothing using the Geometric Element Transformation Method. Comput. Methods Appl. Mech. Engrg., 197(45-48):3760-3767, 2008. [ DOI ]