Annals of Faculty of Computer and Information Sciences, Hosei University
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HOME >> No.7 CONTENTS >> Vladimir SAVCHENKO
Professor
Vladimir SAVCHENKO
Refereed Publications
  1. M. Savchenko, O. Egorova, I. Hagiwara, and V. Savchenko, "Different Approaches for Surface Mesh Modification", GESTS International Transaction on Computer Science and Engineering, Vol.33, No. 1, 2006, pp. 1-10.
    Abstract - In the paper, mesh improvement algorithms based on an implementation of quasi-statistical modeling and reforming a local domain of the neighbor elements (shell) are proposed for surface meshes. These approaches apply the averaging technique to the coordinates of the nodes of this polygonal shell. Geometry of the initial surface mesh is preserved and new positions of the interior nodes of the mesh remain on the original discrete surface. Proposed algorithms can be used in a pre-processing stage for finite element analysis by providing better-input parameters for these processes. We demonstrate implementation of our algorithms on some test cases.
  2. M. Savchenko, O. Egorova, I. Hagiwara, and V. Savchenko, "Quality Improvement of Tetrahedral Meshes", GESTS International Transaction on Computer Science and Engineering, Vol.33, No. 1, 2006, pp. 83-93.
    Abstract - Mesh improvement is an almost obligatory step for obtaining a valid finite element because the requirements of an automatic mesh generator can be weakened. In this paper we suggest a method based on an implementation of quasi-statistical modeling, which can produce elements with a Gaussian (normal) distribution and a method based on decomposition of the local tetrahedral elements domain into a bundle of the plane elements. A main approach used in these local improvement methods is finally based on averaging the coordinates of all the nodes of the neighbour elements as is done in Laplacian smoothing technique. We also suggest a new simple method for tetrahedral mesh improvement based on the use of space mapping technique based on radial basis functions instead of using a smoothing technique based on averaging the coordinates. We demonstrate that our techniques can be applied to 3D volume meshes. Experimental results are included to demonstrate the functionality of our methods.
Other Publications
  1. M. Savchenko, O. Egorova, I. Hagiwara, and V. Savchenko, "Techniques for Improving the Quality of Tetrahedral Meshes", In Proceedings 23-06 of the JSAE Annual Congress, 2006, Yokohama, Japan, pp.7-12.
  2. O. Egorova, M. Savchenko, I. Hagiwara, and V. Savchenko, "Algorithms for Surface Mesh Improvement", In Proceedings 23-06 of the JSAE Annual Congress, pp.1-6, 2006, Yokohama, Japan.
  3. O. Egorova, M. Savchenko, I. Hagiwara, and V. Savchenko, "Quality Improvement of Hexahedral Meshes Based on Set of Quadrilaterals ", In Proceedings of Annual JSIAM Conference, Tsukuba, 2006, pp.50-51.

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