ON THE SOLVABILITY OF THE NONLINEAR PROBLEMS IN AN ALGEBRAICALLY STABILIZED FINITE ELEMENT METHOD FOR EVOLUTIONARY TRANSPORT-DOMINATED EQUATIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10435690" target="_blank" >RIV/00216208:11320/21:10435690 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5zEign0cLv" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5zEign0cLv</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/mcom/3576" target="_blank" >10.1090/mcom/3576</a>

Result language
angličtina
Original language name
ON THE SOLVABILITY OF THE NONLINEAR PROBLEMS IN AN ALGEBRAICALLY STABILIZED FINITE ELEMENT METHOD FOR EVOLUTIONARY TRANSPORT-DOMINATED EQUATIONS
Original language description
The so-called FEM-FCT (finite element method flux-corrected transport) scheme for evolutionary scalar convection-dominated equations leads in each time instant to a nonlinear problem. For sufficiently small time steps, the existence and uniqueness of a solution of these problems is shown. Moreover, the convergence of a semi-smooth Newton's method is studied.
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
10102 - Applied mathematics

Project
<a href="/en/project/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>
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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