KIAM Main page Web Library  •  Publication Searh  Русский 
Publication

KIAM Preprint № 26, Moscow, 2022
Authors: Poveschenko Y.A., Koleva M.N., Rahimly O.R., Podryga V.O., Rahimly P.I.
On convergence of difference schemes of support operator method for rotational operations of vector analysis on tetrahedral meshes
Abstract:
One approach to the description of the metric properties of an irregular grid is proposed for discretizing repeated rotational operations of vector analysis (rot rot) as applied to modeling the magnetic and electric fields. On the basis of the support operator method and the used grid metric, integrally consistent vector analysis operations rot, div, grad are constructed that are necessary to obtain convergence estimates for difference schemes for repeated rotational operations, as well as solving physical problems with discontinuous magnetic viscosity, dielectric permeability or thermal resistance of a medium. On smooth solutions of the model magnetostatic problem on a tetrahedral grid with first order of accuracy in the mean-square sense, the convergence of the constructed difference schemes with zero eigenvalue of the spectral problem is proved. At the same time, no restrictions are imposed on an irregular tetrahedral mesh, except for its non-degeneracy.
Keywords:
self-gravitation, magnetohydrodynamic forces, support operator method, mathematical modeling
Publication language: russian,  pages: 19
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 10 (+6), total hit from 19.05.2022 — 56
About authors:
  • Poveschenko Yuri Andreevich,  orcid.org/0000-0001-9211-9057KIAM RAS
  • Koleva Miglena Nikolaeva,  orcid.org/0000-0003-0360-3651Angel Kanchev University of Ruse
  • Rahimly Orkhan Rahim oglu,  orcid.org/0000-0001-7257-1660KIAM RAS
  • Podryga Victoria Olegovna,  orcid.org/0000-0001-7874-6978KIAM RAS
  • Rahimly Parvin Ilgar gizi,  orcid.org/0000-0002-9271-5956KIAM RAS