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Dirichlet boundary ...
Dirichlet boundary value correction using Lagrange multipliers
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- Burman, Erik (författare)
- Department of Mathematics, University College London, 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, Umeå, Sweden
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(creator_code:org_t)
- 2019-09-03
- 2020
- Engelska.
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Ingår i: BIT Numerical Mathematics. - : Springer. - 0006-3835 .- 1572-9125. ; 60:1, s. 235-260
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Abstract
Ämnesord
Stäng
- We propose a boundary value correction approach for cases when curved boundaries are approximated by straight lines (planes) and Lagrange multipliers are used to enforce Dirichlet boundary conditions. The approach allows for optimal order convergence for polynomial order up to 3. We show the relation to a Taylor series expansion approach previously used in the context of Nitsche's method and, in the case of inf-sup stable multiplier methods, prove a priori error estimates with explicit dependence on the meshsize and distance between the exact and approximate boundary.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Boundary value correction
- Lagrange multiplier
- Dirichlet boundary conditions
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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