Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Sergey I. Martynenko"'
Publikováno v:
Mathematics, Vol 12, Iss 13, p 2122 (2024)
Mathematical equations that describe all physical processes are valid only under certain assumptions. One of them is the minimum scales used for the given description. In fact, this prohibits the use of derivatives in the mathematical models of the p
Externí odkaz:
https://doaj.org/article/ab02fdd149424e14900728a6a6e76521
Publikováno v:
Mathematics, Vol 11, Iss 16, p 3442 (2023)
This article presents a two-grid approach for developing a black-box iterative solver for a large class of real-life problems in continuum mechanics (heat and mass transfer, fluid dynamics, elasticity, electromagnetism, and others). The main requirem
Externí odkaz:
https://doaj.org/article/46904e69c7cc460e8485340d4f0e4585
Autor:
Sergey I. Martynenko
This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (
Autor:
Sergey I. Martynenko
The organization of the material is presented as follows: This introductory chapter I represents a theoretical analysis of the computational algorithms for a numerical solution of the basic equations in continuum mechanics. In this chapter, the gener
Autor:
Sergey I. Martynenko
Publikováno v:
The Robust Multigrid Technique ISBN: 9783110539264
The Robust Multigrid Technique: For Black-Box Software
The Robust Multigrid Technique: For Black-Box Software
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aaebc0eef43007ab3958fd2e8b444b28
https://doi.org/10.1515/9783110539264-003
https://doi.org/10.1515/9783110539264-003
Autor:
Sergey I. Martynenko
Publikováno v:
The Robust Multigrid Technique ISBN: 9783110539264
The Robust Multigrid Technique: For Black-Box Software
The Robust Multigrid Technique: For Black-Box Software
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d14adee815bf73687246e2fe1cd2cab
https://doi.org/10.1515/9783110539264-004
https://doi.org/10.1515/9783110539264-004
Autor:
Sergey I. Martynenko
Publikováno v:
The Robust Multigrid Technique ISBN: 9783110539264
The Robust Multigrid Technique: For Black-Box Software
The Robust Multigrid Technique: For Black-Box Software
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cee67380bf9711fbac18ed1ba26542b8
https://doi.org/10.1515/9783110539264-001
https://doi.org/10.1515/9783110539264-001
Autor:
Sergey I. Martynenko
Publikováno v:
International Journal of Computing Science and Mathematics. 4:309
The paper represents a robust multigrid algorithm for solving a large class of applied problems from Poisson equation to Navier-Stokes equations on the structured grids. The algorithm consists of the robust multigrid technique variant of the geometri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f87806cfe7e5eff64e73604d498b7feb
https://doi.org/10.1504/ijcsm.2013.058058
https://doi.org/10.1504/ijcsm.2013.058058
Autor:
Sergey I. Martynenko
Publikováno v:
International Journal of Computing Science and Mathematics. 2:291
A new approach for reduction of computational cost of numerical algorithms for the Navier?Stokes equations in primitive variables formulation is proposed. The approach uses physical aspects of hydrodynamics for fast computation of 'part' of pressure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8991d71520da64ef2cef3e5da6dc2137
https://doi.org/10.1504/ijcsm.2009.030910
https://doi.org/10.1504/ijcsm.2009.030910
Conference
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