A Higher Order Nonconforming Virtual Element Method for the Cahn-Hilliard Equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493329" target="_blank" >RIV/00216208:11320/24:10493329 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5ILjjBlMvJ" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5ILjjBlMvJ</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10915-024-02721-z" target="_blank" >10.1007/s10915-024-02721-z</a>
Alternative languages
Result language
angličtina
Original language name
A Higher Order Nonconforming Virtual Element Method for the Cahn-Hilliard Equation
Original language description
In this paper we develop a fully nonconforming virtual element method of arbitrary approximation order for the two dimensional Cahn-Hilliard equation. We carry out the error analysis for the semidiscrete (continuous-in-time) scheme and verify the theoretical convergence result via numerical experiments. We present a fully discrete scheme which uses a convex splitting Runge-Kutta method to discretize in the temporal variable alongside the virtual element spatial discretization.
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
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Scientific Computing
ISSN
0885-7474
e-ISSN
1573-7691
Volume of the periodical
101
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
32
Pages from-to
81
UT code for WoS article
001353766300002
EID of the result in the Scopus database
2-s2.0-85209130865