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Dokumenttyp:
Zeitschriftenartikel / Journal Article
Titel:
Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity
Zeitschrift:
Computer Methods in Applied Mechanics and Engineering
Jahrgang:
346
Heftnummer:
1
Jahr:
2019
Seiten von - bis:
197-215
Sprache:
Englisch
Stichwörter:
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
Fakultät:
Fakultät für Bauingenieurwesen und Umweltwissenschaften
Institut:
BAU 1 - Institut für Mathematik und Computergestützte Simulation
Professur:
Popp, Alexander
Open Access ja oder nein?:
Nein / No
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