TY - JOUR
T1 - Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity
AU - Wunderlich, Linus
AU - Seitz, Alexander
AU - Alaydın, Mert Deniz
AU - Wohlmuth, Barbara
AU - Popp, Alexander
N1 - Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - A new construction of biorthogonal splines for isogeometric mortar methods is proposed. The biorthogonal basis has a local support and, at the same time, optimal approximation properties, which yield optimal results with mortar methods. We first present the univariate construction, which has an inherent crosspoint modification. The multivariate construction is then based on a tensor product for weighted integrals, whereby the important properties are inherited from the univariate case. Numerical results including large deformations confirm the optimality of the newly constructed biorthogonal basis.
AB - A new construction of biorthogonal splines for isogeometric mortar methods is proposed. The biorthogonal basis has a local support and, at the same time, optimal approximation properties, which yield optimal results with mortar methods. We first present the univariate construction, which has an inherent crosspoint modification. The multivariate construction is then based on a tensor product for weighted integrals, whereby the important properties are inherited from the univariate case. Numerical results including large deformations confirm the optimality of the newly constructed biorthogonal basis.
KW - Biorthogonal basis
KW - Finite deformation
KW - Isogeometric analysis
KW - Mortar methods
KW - Multi-patch geometries
UR - http://www.scopus.com/inward/record.url?scp=85058791832&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2018.11.024
DO - 10.1016/j.cma.2018.11.024
M3 - Article
AN - SCOPUS:85058791832
SN - 0045-7825
VL - 346
SP - 197
EP - 215
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -