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The problem of coupling between analytical solution and Finite Element method

This paper is focused on the first numerical tests for coupling between analytical solution and finite element method on the example of one problem of fracture mechanics. The calculations were done according to ideas proposed in [1]. The analytical solutions are constructed by using an orthogonal basis of holomorphic and anti-holomorphic functions. For coupling with finite element method the special elements are constructed by using the trigonometric interpolation theorem.

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Conference:
19th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar
Editor:
GND
1015214991
Gürlebeck, Klaus;
GND
135943620
ORCID
0000-0002-1251-7301
Lahmer, Tom;
GND
134070666
ORCID
0000-0002-0709-3591
Werner, Frank
Published in:
International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering :…
Vol. 19, 2012 (04.07.2012), p. 239-249
Volume:
19, 2012
Date Issued:
04.07.2012
URN:
urn:nbn:de:gbv:wim2-20170314-27730
Other identifier (oai):
oai:opus4.weimar:2773
DOI:
10.25643/bauhaus-universitaet.2773
Language:
English
Type of Resource:
Text
Keywords:
  1. Angewandte Informatik
    Typ
    Schlagwort
  1. Angewandte Mathematik
    Typ
    Schlagwort
  1. Computerunterstütztes Verfahren
    Typ
    Schlagwort
DDC subject of DNB:
000 Generalities, Science
DDC subject of DNB:
510 Mathematics
Hosting institution:
Bauhaus-Universität Weimar, Faculty of Civil and Environmental Engineering, Graduiertenkolleg 1462

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