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Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method

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2020

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Burman, Erik
Scroggs, Matthew W.

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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.

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510 Mathematik

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ISO 690BURMAN, 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.}
}
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