Isogeometric mortar methods

Ericka Brivadis; Annalisa Buffa; Barbara Wohlmuth; Linus Wunderlich

doi:10.1016/j.cma.2014.09.012

Isogeometric mortar methods

Ericka Brivadis, Annalisa Buffa, Barbara Wohlmuth, Linus Wunderlich

Chair of Numerical Analysis

Research output: Contribution to journal › Article › peer-review

159 Scopus citations

Abstract

The application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly stable spaces are presented, both of them are spline spaces but of a different degree. In one case, we consider an equal order pairing for which a cross point modification based on a local degree reduction is required. In the other case, the degree of the dual space is reduced by two compared to the primal. This pairing is proven to be inf-sup stable without any necessary cross point modification. Several numerical examples confirm the theoretical results and illustrate additional aspects.

Original language	English
Pages (from-to)	292-319
Number of pages	28
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	284
DOIs	https://doi.org/10.1016/j.cma.2014.09.012
State	Published - 1 Feb 2015

Keywords

65N30
65N55
Cross point modification
Inf-sup stability
Isogeometric analysis
Mortar methods

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10.1016/j.cma.2014.09.012

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title = "Isogeometric mortar methods",

abstract = "The application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly stable spaces are presented, both of them are spline spaces but of a different degree. In one case, we consider an equal order pairing for which a cross point modification based on a local degree reduction is required. In the other case, the degree of the dual space is reduced by two compared to the primal. This pairing is proven to be inf-sup stable without any necessary cross point modification. Several numerical examples confirm the theoretical results and illustrate additional aspects.",

keywords = "65N30, 65N55, Cross point modification, Inf-sup stability, Isogeometric analysis, Mortar methods",

author = "Ericka Brivadis and Annalisa Buffa and Barbara Wohlmuth and Linus Wunderlich",

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AU - Brivadis, Ericka

AU - Buffa, Annalisa

AU - Wohlmuth, Barbara

AU - Wunderlich, Linus

PY - 2015/2/1

Y1 - 2015/2/1

N2 - The application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly stable spaces are presented, both of them are spline spaces but of a different degree. In one case, we consider an equal order pairing for which a cross point modification based on a local degree reduction is required. In the other case, the degree of the dual space is reduced by two compared to the primal. This pairing is proven to be inf-sup stable without any necessary cross point modification. Several numerical examples confirm the theoretical results and illustrate additional aspects.

AB - The application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly stable spaces are presented, both of them are spline spaces but of a different degree. In one case, we consider an equal order pairing for which a cross point modification based on a local degree reduction is required. In the other case, the degree of the dual space is reduced by two compared to the primal. This pairing is proven to be inf-sup stable without any necessary cross point modification. Several numerical examples confirm the theoretical results and illustrate additional aspects.

KW - 65N30

KW - 65N55

KW - Cross point modification

KW - Inf-sup stability

KW - Isogeometric analysis

KW - Mortar methods

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SN - 0045-7825

VL - 284

SP - 292

EP - 319

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

Isogeometric mortar methods

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Keywords

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