Publ3 search

Z6_60GI02O0O8IDC0QEJUJ26TJDI4

> Publ3 search

Error:

Javascript is disabled in this browser. This page requires Javascript. Modify your browser's settings to allow Javascript to execute. See your browser's documentation for specific instructions.

Publikační činnost

Probíhá načítání, čekejte prosím...

Typ záznamu:	článek v odborném periodiku (J)
Domácí pracoviště:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Název:	Boundary Value Problem: Weak Solutions Induced by Fuzzy Partitions
Citace	Nguyen, L. T. N. L., Perfiljeva, I. a Holčapek, M. Boundary Value Problem: Weak Solutions Induced by Fuzzy Partitions. Discrete And Continuous Dynamical Systems B. 2020, 25(2), s. 715-732. ISSN 1531-3492.

Podnázev
Rok vydání:	2020
Obor:	Obecná matematika
Kód ISSN:	1531-3492
Oficiální název periodika:	Discrete And Continuous Dynamical Systems B
Stát vydavatele periodika:	Spojené státy americké
Svazek periodika:	25
Číslo periodika v rámci svazku:	2
Číslo článku:
Ročník:
Počet stran článku:	18
Strana od:	715
Strana do:	732
Kód UT WoS:	000497688200015
EID:	2-s2.0-85076402782
Poddruh recenzovaného článku:	Článek v impaktovaném časopise (Jimp)

Klíčová slova anglicky:	Fuzzy transform, fuzzy partition, boundary value problem, Ritz approximation, Ritz method, Galerkin method, finite element method
Popis v původním jazyce:	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.
Popis v anglickém jazyce:	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.

Seznam ohlasů

Ohlas

R01:	RIV/61988987:17610/20:A2101YE9

Complementary Content

${loading}