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Document type:
Zeitschriftenartikel / Journal Article
Title:
Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity
Journal:
Computer Methods in Applied Mechanics and Engineering
Volume:
346
Issue:
1
Year:
2019
Pages from - to:
197-215
Language:
Englisch
Keywords:
Biorthogonal basis ; Finite deformation ; Isogeometric analysis ; Mortar methods ; Multi-patch geometries
Abstract:
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... »
ISSN:
0045-7825
Department:
Fakultät für Bauingenieurwesen und Umweltwissenschaften
Institute:
BAU 1 - Institut für Mathematik und Computergestützte Simulation
Chair:
Popp, Alexander
Open Access yes or no?:
Nein / No
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