An isogeometric extension of Trefftz method for elastostatics in two dimensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00323509" target="_blank" >RIV/68407700:21110/18:00323509 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5783" target="_blank" >https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5783</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nme.5783" target="_blank" >10.1002/nme.5783</a>
Alternative languages
Result language
angličtina
Original language name
An isogeometric extension of Trefftz method for elastostatics in two dimensions
Original language description
In this paper, an approach to blend the Hybrid-Trefftz Finite Element Method (HTFEM) and the Isogeometric Analysis (IGA) called the Isogeometric Trefftz (IGAT) method is presented. The structure of the isogeometric extension of the Trefftz method is formally the same as for its conventional counterpart, except the approximation of the boundary displacements and geometry that are carried out using the Non-Uniform Rational B-Splines (NURBS) instead of polynomials. In other words, only the element boundaries are approximated using NURBS basis while the Trefftz approximation is used in the interior of the elements. For that reason, IGAT can be ranked alongside recently developed Isogeometric Boundary Element Method (IGABEM), the NURBS-Enhanced Finite Element Method (NEFEM), the Isogeometric Local Maximum Entropy (IGA-LME) method, and the Isogeometrically enhanced Scaled-Boundary element method (SBFEM), which all use NURBS approximation at the domain boundary only. Theoretical conjectures made in this paper are accompanied by three examples that show that IGAT leads to excellent results using only a few elements.
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
20101 - Civil engineering
Result continuities
Project
<a href="/en/project/GA13-22230S" target="_blank" >GA13-22230S: A hybrid multiscale predictive modelling tool for heterogeneous solids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal for Numerical Methods in Engineering
ISSN
0029-5981
e-ISSN
1097-0207
Volume of the periodical
114
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
1213-1227
UT code for WoS article
000433574800004
EID of the result in the Scopus database
2-s2.0-85044524087