Two-sided guaranteed bounds to individual eigenvalues of preconditioned finite element and finite difference problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F21%3A00350157" target="_blank" >RIV/68407700:21110/21:00350157 - isvavai.cz</a>
Alternative codes found
RIV/71226401:_____/21:N0100476
Result on the web
<a href="https://doi.org/10.1002/nla.2382" target="_blank" >https://doi.org/10.1002/nla.2382</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.2382" target="_blank" >10.1002/nla.2382</a>

Result language
angličtina
Original language name
Two-sided guaranteed bounds to individual eigenvalues of preconditioned finite element and finite difference problems
Original language description
Numerical methods for elliptic partial differential equations usually lead to systems of linear equations with sparse, symmetric, and positive definite matrices. In many methods, these matrices can be obtained as sums of local symmetric positive semidefinite matrices. In this article, we use this assumption and introduce a method that provides guaranteed lower and upper bounds to all individual eigenvalues of the preconditioned matrices. We apply the method for preconditioners arising from the same discretization problem but with simplified coefficients. The method uses solely the data over the solution domain and local connections between the degrees of freedom defined by the discretization.
Czech name
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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
—
OECD FORD branch
10102 - Applied mathematics

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)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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