Betcke, T;
Burman, E;
Scroggs, MW;
(2019)
Boundary Element Methods with Weakly Imposed Boundary Conditions.
SIAM Journal on Scientific Computing
, 41
(3)
A1357-A1384.
10.1137/18M119625X.
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Abstract
We consider boundary element methods where 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. Regardless of the boundary conditions, both the primal trace variable and the flux are approximated. We focus on the imposition of Dirichlet, mixed Dirichlet--Neumann, and Robin conditions. A salient feature of the Robin condition is that the conditioning of the system is robust also for stiff boundary conditions. The theory is illustrated by a series of numerical examples.
| Type: | Article |
|---|---|
| Title: | Boundary Element Methods with Weakly Imposed Boundary Conditions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/18M119625X |
| Publisher version: | https://doi.org/10.1137/18M119625X |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | boundary element method, weak boundary conditions, mixed boundary conditions, Robin conditions, Calderon projection |
| 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/10073557 |
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