Three methods for two-sided bounds of eigenvalues-A comparison

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00489414" target="_blank" >RIV/67985840:_____/18:00489414 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1002/num.22251" target="_blank" >http://dx.doi.org/10.1002/num.22251</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/num.22251" target="_blank" >10.1002/num.22251</a>

Result language

angličtina

Original language name

Three methods for two-sided bounds of eigenvalues-A comparison

Original language description

We compare three finite element‐based methods designed for two‐sided bounds of eigenvalues of symmetric elliptic second order operators. The first method is known as the Lehmann–Goerisch method. The second method is based on Crouzeix–Raviart nonconforming finite element method. The third one is a combination of generalized Weinstein and Kato bounds with complementarity‐based estimators. We concisely describe these methods and use them to solve three numerical examples. We compare their accuracy, computational performance, and generality in both the lowest and higher order case.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Numerical Methods for Partial Differential Equations

ISSN

0749-159X

e-ISSN

—

Volume of the periodical

34

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

21

Pages from-to

1188-1208

UT code for WoS article

000430677500004

EID of the result in the Scopus database

2-s2.0-85045898777