On favorable bounds on the spectrum of discretized Steklov-Poincaré operator and applications to domain decomposition methods in 2D

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F24%3A10256054" target="_blank" >RIV/61989100:27240/24:10256054 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/24:10256054
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0898122124001986" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0898122124001986</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2024.04.033" target="_blank" >10.1016/j.camwa.2024.04.033</a>

Result language
angličtina
Original language name
On favorable bounds on the spectrum of discretized Steklov-Poincaré operator and applications to domain decomposition methods in 2D
Original language description
The efficiency of numerical solvers of PDEs depends on the approximation properties of the discretization methods and the conditioning of the resulting linear systems. If applicable, the boundary element methods typically provide better approximation with unknowns limited to the boundary than the Schur complement of the finite element stiffness matrix with respect to the interior variables. Since both matrices correctly approximate the same object, the Steklov-Poincaré operator, it is natural to assume that the matrices corresponding to the same fine boundary discretization are similar. However, this note shows that the distribution of the spectrum of the boundary element stiffness matrix is significantly better conditioned than the finite element Schur complement. The effect of the favorable conditioning of BETI clusters is demonstrated by solving huge problems by H-TBETI-DP and H-TFETI-DP. (C) 2024 Elsevier Ltd
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics

Project
<a href="/en/project/GA22-13220S" target="_blank" >GA22-13220S: Development of iterative algorithms for solving contact problems emerging in the analysis of steel structures bolt connections</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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