The least squares solution of inconsistent discretized elliptic problems using the FETI method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F25%3A00642854" target="_blank" >RIV/68145535:_____/25:00642854 - isvavai.cz</a>
Result on the web
<a href="https://articles.math.cas.cz/10.21136/AM.2025.0189-25" target="_blank" >https://articles.math.cas.cz/10.21136/AM.2025.0189-25</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2025.0189-25" target="_blank" >10.21136/AM.2025.0189-25</a>
Alternative languages
Result language
angličtina
Original language name
The least squares solution of inconsistent discretized elliptic problems using the FETI method
Original language description
The variants of FETI (finite element tearing and interconnecting) based domain decomposition methods are well-established, massively parallel algorithms for solving huge linear systems arising from the discretization of elliptic partial differential equations. Here, we adapt the FETI method for solving the large least squares problems associated with inconsistent systems of linear equations arising from the discretization of elliptic partial differential equations. We briefly review the symmetric least squares problems and the FETI method, explain how FETI can find the least squares solution, prove the optimal rate of convergence, and present the results of numerical experiments demonstrating the efficiency of the proposed method in solving the least squares problem defined by the Poisson equation with inconsistent Neumann conditions.
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
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
1572-9109
Volume of the periodical
70
Issue of the periodical within the volume
6
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
11
Pages from-to
929-939
UT code for WoS article
001638940400008
EID of the result in the Scopus database
2-s2.0-105024757763