An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes
Result description
This work is devoted to the proposal of a new flux limiter that makes the algebraic flux correction finite element scheme linearity and positivity preserving on general simplicial meshes. Minimal assumptions on the limiter are given in order to guarantee the validity of the discrete maximum principle, and then a precise definition of it is proposed and analyzed. Numerical results for convection- diffusion problems confirm the theory.
Keywords
linearity preservationdiscrete maximum principlealgebraic flux correctionconvection-diffusion equationFinite element method
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes
Original language description
This work is devoted to the proposal of a new flux limiter that makes the algebraic flux correction finite element scheme linearity and positivity preserving on general simplicial meshes. Minimal assumptions on the limiter are given in order to guarantee the validity of the discrete maximum principle, and then a precise definition of it is proposed and analyzed. Numerical results for convection- diffusion problems confirm the theory.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Models and Methods in Applied Sciences
ISSN
0218-2025
e-ISSN
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Volume of the periodical
27
Issue of the periodical within the volume
3
Country of publishing house
SG - SINGAPORE
Number of pages
24
Pages from-to
525-548
UT code for WoS article
000397604300003
EID of the result in the Scopus database
2-s2.0-85014868709
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Applied mathematics
Year of implementation
2017