Burman, E;
(2012)
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions.
SIAM Journal on Numerical Analysis
, 50
(4)
1959 - 1981.
10.1137/10081784X.
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Abstract
In this paper we show that the nonsymmetric version of Nitsche's method for the weak imposition of boundary conditions is stable without penalty term. For nonconforming elements we prove the same result for the symmetric formulation as well. We prove optimal $H^1$-error estimates and $L^2$-error estimates that are suboptimal with half an order in $h$. Both the pure diffusion and the convection--diffusion problems are discussed.
| Type: | Article |
|---|---|
| Title: | A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/10081784X |
| Publisher version: | http://dx.doi.org/10.1137/10081784X |
| Language: | English |
| Additional information: | © 2012, Society for Industrial and Applied Mathematics |
| Keywords: | finite element methods, weak boundary conditions, convection dominated flow, stabilized methods |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1384701 |
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