Favorable bounds on the spectrum of discretized Steklov-Poincaré operator and applications to domain decomposition methods in 2D
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F24%3A00603564" target="_blank" >RIV/68145535:_____/24:00603564 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.camwa.2024.04.033" target="_blank" >https://doi.org/10.1016/j.camwa.2024.04.033</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>
Alternative languages
Result language
angličtina
Original language name
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.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & Mathematics With Applications
ISSN
0898-1221
e-ISSN
1873-7668
Volume of the periodical
167
Issue of the periodical within the volume
August 2024
Country of publishing house
GB - UNITED KINGDOM
Number of pages
9
Pages from-to
12-20
UT code for WoS article
001242886600001
EID of the result in the Scopus database
2-s2.0-85192869860