TY - GEN
T1 - Domain decomposition methods and kirchhoff-love shell multipatch coupling in isogeometric analysis
AU - Apostolatos, Andreas
AU - Breitenberger, Michael
AU - Wüchner, Roland
AU - Bletzinger, Kai Uwe
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - The necessity for solving the isogeometric Kirchhoff-Love shell problem into multiple domains has been exemplified especially in cases where the geometry comprises multipatches. In fact, geometries taken from Computer Aided Geometric Design involve in principle trimmed multipatches. Herein, the application and comparison of the most common Domain Decomposition Methods for the coupling of Kirchhoff-Love shell multipatches in isogeometric analysis is presented. The investigated methods comprise Penalty and Lagrange Multipliers methods. All methods are extended to account for geometrically nonlinear problems. The aforementioned methods provided highly accurate results, thus extending the Kirchhoff-Love shell analysis from a single to multiple patches which is a prerequisite for solving practical engineering problems using isogeometric analysis.
AB - The necessity for solving the isogeometric Kirchhoff-Love shell problem into multiple domains has been exemplified especially in cases where the geometry comprises multipatches. In fact, geometries taken from Computer Aided Geometric Design involve in principle trimmed multipatches. Herein, the application and comparison of the most common Domain Decomposition Methods for the coupling of Kirchhoff-Love shell multipatches in isogeometric analysis is presented. The investigated methods comprise Penalty and Lagrange Multipliers methods. All methods are extended to account for geometrically nonlinear problems. The aforementioned methods provided highly accurate results, thus extending the Kirchhoff-Love shell analysis from a single to multiple patches which is a prerequisite for solving practical engineering problems using isogeometric analysis.
UR - http://www.scopus.com/inward/record.url?scp=84952785165&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-23315-4_4
DO - 10.1007/978-3-319-23315-4_4
M3 - Conference contribution
AN - SCOPUS:84952785165
SN - 9783319233147
T3 - Lecture Notes in Computational Science and Engineering
SP - 73
EP - 101
BT - Isogeometric Analysis and Applications 2014
A2 - Jüttler, Bert
A2 - Simeon, Bernd
PB - Springer Verlag
T2 - International Conference on Isogeometric Analysis and Applications, IGAA 2014
Y2 - 7 April 2014 through 10 April 2014
ER -