Boundary Value Problem: Weak Solutions Induced by Fuzzy Partitions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA2101YE9" target="_blank" >RIV/61988987:17610/20:A2101YE9 - isvavai.cz</a>
Result on the web
<a href="https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019263" target="_blank" >https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019263</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2019263" target="_blank" >10.3934/dcdsb.2019263</a>

Result language
angličtina
Original language name
Boundary Value Problem: Weak Solutions Induced by Fuzzy Partitions
Original language description
The aim of this paper is to propose a new methodology in the construction of spaces of test functions used in a weak formulation of the Boundary Value Problem. The proposed construction is based on the so called ``two dimensional'' approach where at first, we select a partition of a domain and second, a dimension of an approximating functional subspace on each partition element. The main advantage consists in the independent selection of the key parameters, aiming at achieving a requested quality of approximation with a reasonable complexity. We give theoretical justification and illustration on examples that confirm our methodology.
Czech name
—
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
10101 - Pure 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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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