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Augmented Lagrangia...
Augmented Lagrangian finite element methods for contact problems
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- Burman, Erik (författare)
- Department of Mathematics, University College London, United Kingdom
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- Hansbo, Peter (författare)
- Jönköping University,JTH, Material och tillverkning
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- Larson, Mats G. (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematics and Mathematical Statistics, Umeå University, Sweden
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(creator_code:org_t)
- 2019-04-10
- 2019
- Engelska.
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Ingår i: Mathematical Modelling and Numerical Analysis. - : EDP Sciences. - 0764-583X .- 1290-3841. ; 53:1, s. 173-195
- Relaterad länk:
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http://arxiv.org/pdf...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We propose two different Lagrange multiplier methods for contact problems derived from the augmented Lagrangian variational formulation. Both the obstacle problem, where a constraint on the solution is imposed in the bulk domain and the Signorini problem, where a lateral contact condition is imposed are considered. We consider both continuous and discontinuous approximation spaces for the Lagrange multiplier. In the latter case the method is unstable and a penalty on the jump of the multiplier must be applied for stability. We prove the existence and uniqueness of discrete solutions, best approximation estimates and convergence estimates that are optimal compared to the regularity of the solution.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Augmented Lagrangian
- Error estimates
- Finite element method
- Lagrange mutlipliers
- Obstacle problem
- Signorini problem
- Constrained optimization
- Augmented Lagrangians
- Lagrange
- Obstacle problems
- Lagrange multipliers
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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