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Galerkin least squa...
Galerkin least squares finite element method for the obstacle problem
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- Burman, Erik (författare)
- Department of Mathematics, University College London
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- Hansbo, Peter (författare)
- Jönköping University,JTH, Produktutveckling,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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- Larson, Mats G. (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematics and Mathematical Statistics, Umeå University
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- Stenberg, Rolf (författare)
- Department of Mathematics and Systems Analysis, Aalto University
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(creator_code:org_t)
- Elsevier, 2017
- 2017
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier. - 0045-7825 .- 1879-2138. ; 313, s. 362-374
- Relaterad länk:
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http://arxiv.org/pdf...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We construct a consistent multiplier free method for the finite element solution of the obstacle problem. The method is based on an augmented Lagrangian formulation in which we eliminate the multiplier by use of its definition in a discrete setting. We prove existence and uniqueness of discrete solutions and optimal order a priori error estimates for smooth exact solutions. Using a saturation assumption we also prove an a posteriori error estimate. Numerical examples show the performance of the method and of an adaptive algorithm for the control of the discretization error.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Obstacle problem
- Augmented Lagrangian method
- A priori error estimate
- A posteriori error estimate
- Adaptive method
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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