Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method

Burman, Erik; Frei, Stefan; Scroggs, Matthew W.

Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2020

Autor:innen

Burman, Erik

Frei, Stefan

Scroggs, Matthew W.

DOI (zitierfähiger Link)

https://doi.org/10.1137/19M1281721

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

SIAM Journal on Numerical Analysis. Society for Industrial and Applied Mathematics (SIAM). 2020, 58(4), pp. 2334-2350. ISSN 0036-1429. eISSN 1095-7170. Available under: doi: 10.1137/19M1281721

Zusammenfassung

We derive and analyze a boundary element formulation for boundary conditions involving inequalities. In particular, we focus on Signorini contact conditions. The Calderón projector is used for the system matrix, and boundary conditions are weakly imposed using a particular variational boundary operator designed using techniques from augmented Lagrangian methods. We present a complete numerical a priori error analysis and present some numerical examples to illustrate the theory.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

BURMAN, Erik, Stefan FREI, Matthew W. SCROGGS, 2020. Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method. In: SIAM Journal on Numerical Analysis. Society for Industrial and Applied Mathematics (SIAM). 2020, 58(4), pp. 2334-2350. ISSN 0036-1429. eISSN 1095-7170. Available under: doi: 10.1137/19M1281721

BibTex

@article{Burman2020-08-13Impos-51250,
  year={2020},
  doi={10.1137/19M1281721},
  title={Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method},
  number={4},
  volume={58},
  issn={0036-1429},
  journal={SIAM Journal on Numerical Analysis},
  pages={2334--2350},
  author={Burman, Erik and Frei, Stefan and Scroggs, Matthew W.}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/51250">
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Frei, Stefan</dc:contributor>
    <dc:language>eng</dc:language>
    <dc:creator>Frei, Stefan</dc:creator>
    <dc:creator>Burman, Erik</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/51250"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Burman, Erik</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Scroggs, Matthew W.</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-10-07T11:23:19Z</dc:date>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2020-10-07T11:23:19Z</dcterms:available>
    <dcterms:title>Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method</dcterms:title>
    <dc:creator>Scroggs, Matthew W.</dc:creator>
    <dcterms:abstract xml:lang="eng">We derive and analyze a boundary element formulation for boundary conditions involving inequalities. In particular, we focus on Signorini contact conditions. The Calderón projector is used for the system matrix, and boundary conditions are weakly imposed using a particular variational boundary operator designed using techniques from augmented Lagrangian methods. We present a complete numerical a priori error analysis and present some numerical examples to illustrate the theory.</dcterms:abstract>
    <dcterms:issued>2020-08-13</dcterms:issued>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja

Begutachtet

Ja