Analysis of a group finite element formulation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10367716" target="_blank" >RIV/00216208:11320/17:10367716 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.apnum.2017.03.008" target="_blank" >http://dx.doi.org/10.1016/j.apnum.2017.03.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apnum.2017.03.008" target="_blank" >10.1016/j.apnum.2017.03.008</a>
Alternative languages
Result language
angličtina
Original language name
Analysis of a group finite element formulation
Original language description
The group finite element formulation is a strategy aimed at speeding the assembly of finite element matrices for time-dependent problems. This process modifies the Galerkin matrix of the problem in a non-consistent way. This may cause a deterioration of both the stability and convergence of the method. In this paper we prove results for a group finite element formulation of a convection-diffusion-reaction equation showing that the stability of the original discrete problem remains unchanged under appropriate conditions on the data of the problem and on the discretization parameters. A violation of these conditions may lead to non-existence of solutions, as one of our main results shows. An analysis of the consistency error introduced by the group finite element formulation and its skew symmetric variant is given.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
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
Applied Numerical Mathematics
ISSN
0168-9274
e-ISSN
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Volume of the periodical
118
Issue of the periodical within the volume
August 2017
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
238-248
UT code for WoS article
000403125800014
EID of the result in the Scopus database
2-s2.0-85016439692