Frontiers in Mortar Methods for Isogeometric Analysis

Christian Hesch; Ustim Khristenko; Rolf Krause; Alexander Popp; Alexander Seitz; Wolfgang Wall; Barbara Wohlmuth

doi:10.1007/978-3-030-92672-4_15

Frontiers in Mortar Methods for Isogeometric Analysis

Christian Hesch^*, Ustim Khristenko, Rolf Krause, Alexander Popp, Alexander Seitz, Wolfgang Wall, Barbara Wohlmuth

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

Abstract

Complex geometries as common in industrial applications consist of multiple patches, if spline based parametrizations are used. The requirements for the generation of analysis-suitable models are increasing dramatically since isogeometric analysis is directly based on the spline parametrization and nowadays used for the calculation of higher-order partial differential equations. The computational, or more general, the engineering analysis necessitates suitable coupling techniques between the different patches. Mortar methods have been successfully applied for coupling of patches and for contact mechanics in recent years to resolve the arising issues within the interface. We present here current achievements in the design of mortar technologies in isogeometric analysis within the Priority Program SPP 1748, “Reliable Simulation Techniques in Solid Mechanics. Development of Non-standard Discretisation Methods, Mechanical and Mathematical Analysis”.

Original language	English (US)
Title of host publication	Lecture Notes in Applied and Computational Mechanics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	405-447
Number of pages	43
DOIs	https://doi.org/10.1007/978-3-030-92672-4_15
State	Published - 2022

Publication series

Name	Lecture Notes in Applied and Computational Mechanics
Volume	98
ISSN (Print)	1613-7736
ISSN (Electronic)	1860-0816

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

ASJC Scopus subject areas

Mechanical Engineering
Computational Theory and Mathematics

Access to Document

10.1007/978-3-030-92672-4_15

Cite this

Hesch, C., Khristenko, U., Krause, R., Popp, A., Seitz, A., Wall, W., & Wohlmuth, B. (2022). Frontiers in Mortar Methods for Isogeometric Analysis. In Lecture Notes in Applied and Computational Mechanics (pp. 405-447). (Lecture Notes in Applied and Computational Mechanics; Vol. 98). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-92672-4_15

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Frontiers in Mortar Methods for Isogeometric Analysis. / Hesch, Christian; Khristenko, Ustim; Krause, Rolf et al.
Lecture Notes in Applied and Computational Mechanics. Springer Science and Business Media Deutschland GmbH, 2022. p. 405-447 (Lecture Notes in Applied and Computational Mechanics; Vol. 98).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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T1 - Frontiers in Mortar Methods for Isogeometric Analysis

AU - Hesch, Christian

AU - Khristenko, Ustim

AU - Krause, Rolf

AU - Popp, Alexander

AU - Seitz, Alexander

AU - Wall, Wolfgang

AU - Wohlmuth, Barbara

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Frontiers in Mortar Methods for Isogeometric Analysis

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ASJC Scopus subject areas

Access to Document

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