Betcke, Timo;
Burman, Erik;
Scroggs, Matthew W;
(2020)
Boundary element methods for Helmholtz problems with weakly imposed boundary conditions.
SIAM Journal on Applied Mathematics
, 44
(5)
2895-A2917.
10.1137/20M1334802.
Preview |
Text
helmholtz-weak-accepted.pdf - Accepted Version Download (2MB) | Preview |
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 conditions on the Helmholtz equation and extend the analysis of the Laplace problem from Boundary element methods with weakly imposed boundary conditions [Betcke, Burman, and Scroggs, SIAM J. Sci. Comput., 41 (2019), pp. A1357--A1384] to this case. The theory is illustrated by a series of numerical examples.
| Type: | Article |
|---|---|
| Title: | Boundary element methods for Helmholtz problems with weakly imposed boundary conditions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/20M1334802 |
| Publisher version: | https://doi.org/10.1137/20M1334802 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Boundary element methods, Helmholtz equation, wave scattering, Nitsche's method |
| UCL classification: | 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 UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10152464 |
Archive Staff Only
 |
View Item |
