| Vol-2837 urn:nbn:de:0074-2837-4 Copyright © 2021 for the individual papers by the papers' authors. Copyright © 2021 for the volume as a collection by its editors. This volume and its papers are published under the Creative Commons License Attribution 4.0 International (CC BY 4.0).

# CTIS 2021
Far Eastern Workshop on Computational Technologies and Intelligent Systems 2021

### Proceedings of the Far Eastern Workshop on Computational Technologies and Intelligent Systems 2021

### Khabarovsk, Russia, March 2-3, 2021.

Edited by

### Viktor A. Rukavishnikov *
Pedro M. Lima **
Alexander Yu. Chebotarev ***
Andrey E. Kovtanyuk ****

* Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Laboratory of Mathematical Modelling in Physics and Engineering, Khabarovsk, Russia
** Mathematics Department of Instituto Superior Técnico, University of Lisbon, Lisbon, Portugal
*** Institute for Applied Mathematics FEB RAS, Vladivostok, Russia
**** Far Eastern Federal University, Centre for Research and Education in Mathematics, Vladivostok, Russia

## Table of Contents

- Preface
  Summary: There were 22 papers submitted for peer-review to this workshop. Out of these, 14 papers were accepted for this volume, 8 as regular papers and 6 as short papers.

- Body of optimal parameters in the weighted finite element method 1-12
  Viktor A. Rukavishnikov
- Mathematical and computer modeling of endovenous laser treatment 13-23
  Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Anna V. Degtyareva, Nikolai M. Park
- Algebraic multigrid method with skew-Hermitian smoothers 24-34
  Tatiana S. Martynova, Galina V. Muratova, Zeng-Qi Wang
- Multi-frequency experiment on determining the parameters of a dielectric layer in a waveguide (short paper) 35-41
  Elena A. Sheina, Yury V. Shestopalov
- On an explicit difference method for solving one nonlinear parabolic equation with double degeneration and nonlocal spatial operator 42-53
  Ludmila L. Glazyrina, Olga V. Glazyrina, Maria F. Pavlova
- Limit states of a stress-strain pipeline 54-66
  Viktor A. Rukavishnikov, Oleg P. Tkachenko
- Numerical approach for the one stationary nonlinear problem governing the flow of incompressible viscous fluid in L-shaped domain (short paper) 67-76
  Alexey V. Rukavishnikov, Viktor A. Rukavishnikov
- Theoretical and numerical analysis of extremum problems for reaction-diffusion model 77-87
  Roman V. Brizitskii, Alexander Yu. Chebotarev, Victoriya S. Bystrova, Pavel A. Maksimov
- Computer investigation of the crack problem by the weighted FEM 88-98
  Viktor A. Rukavishnikov, Andrew O. Mosolapov, Elena V. Matveeva
- On the convergence of an approximate method for solving the problem filtration consolidation with a limiting gradient (short paper) 99-107
  Maria F. Pavlova, Elena V. Rung
- Weighted FEM operationalized for boundary value problems with singularity and inconsistent degeneracy of input data 108-118
  Viktor A. Rukavishnikov, Elena V. Matveeva, Elena I. Rukavishnikova
- Mathematical model of intersecting cylindrical shells in Cartesian coordinates (short paper) 119-126
  Anna S. Ryabokon, Oleg P. Tkachenko
- Numerical solution of the one-sided compressor thrust bearing dynamics equation (short paper) 127-132
  Pavel E. Fedotov
- Numerical method for solving one bathymetry problem (short paper) 133-139
  Elizaveta R. Liu, Andrei A. Sushchenko, Vladimir A. Kan, Alexander Yu. Chebotarev

2021-03-11: submitted by Viktor A. Rukavishnikov, metadata incl. bibliographic data published under Creative Commons CC0
2021-03-25: published on CEUR Workshop Proceedings (CEUR-WS.org, ISSN 1613-0073) |valid HTML5|