Hybrid TBETI domain decomposition for huge 2D scalar variational inequalities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F24%3A10256067" target="_blank" >RIV/61989100:27240/24:10256067 - isvavai.cz</a>
Alternative codes found
RIV/68145535:_____/24:00601836 RIV/61989100:27740/24:10256067
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/nme.7597" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/nme.7597</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nme.7597" target="_blank" >10.1002/nme.7597</a>
Alternative languages
Result language
angličtina
Original language name
Hybrid TBETI domain decomposition for huge 2D scalar variational inequalities
Original language description
The unpreconditioned H-TFETI-DP (hybrid total finite element tearing and interconnecting dual-primal) domain decomposition method introduced by Klawonn and Rheinbach turned out to be an effective solver for variational inequalities discretized by huge structured grids. The basic idea is to decompose the domain into non-overlapping subdomains, interconnect some adjacent subdomains into clusters on a primal level, and enforce the continuity of the solution across both the subdomain and cluster interfaces by Lagrange multipliers. After eliminating the primal variables, we get a reasonably conditioned quadratic programming (QP) problem with bound and equality constraints. Here, we first reduce the continuous problem to the subdomains' boundaries, then discretize it using the boundary element method, and finally interconnect the subdomains by the averages of adjacent edges. The resulting QP problem in multipliers with a small coarse grid is solved by specialized QP algorithms with optimal complexity. The method can be considered as a three-level multigrid with the coarse grids split between primal and dual variables. Numerical experiments illustrate the efficiency of the presented H-TBETI-DP (hybrid total boundary element tearing and interconnecting dual-primal) method and nice spectral properties of the discretized Steklov-Poincar & eacute; operators as compared with their finite element counterparts.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
International Journal for Numerical Methods in Engineering
ISSN
0029-5981
e-ISSN
1097-0207
Volume of the periodical
125
Issue of the periodical within the volume
24
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
nestránkováno
UT code for WoS article
001324133600001
EID of the result in the Scopus database
2-s2.0-85205534496