dc.contributor.author | BONNET-BEN DHIA, Anne-Sophie | |
dc.contributor.author | Chandler-Wilde, Simon | |
dc.contributor.author | Fliss, Sonia | |
dc.contributor.author | Hazard, Christophe | |
dc.contributor.author | Perfekt, Karl-Mikael | |
dc.contributor.author | TJANDRAWIDJAJA, Yohanes | |
dc.date.accessioned | 2022-04-20T08:09:46Z | |
dc.date.available | 2022-04-20T08:09:46Z | |
dc.date.created | 2022-02-02T10:08:10Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 0036-1410 | |
dc.identifier.uri | https://hdl.handle.net/11250/2991515 | |
dc.description.abstract | The half-space matching (HSM) method has recently been developed as a new method for the solution of two-dimensional scattering problems with complex backgrounds, providing an alternative to perfectly matched layers or other artificial boundary conditions. Based on half-plane representations for the solution, the scattering problem is rewritten as a system of integral equations in which the unknowns are restrictions of the solution to the boundaries of a finite number of overlapping half-planes contained in the domain: this integral equation system is coupled to a standard finite element discretization localized around the scatterer. While satisfactory numerical results have been obtained for real wavenumbers, well-posedness and equivalence to the original scattering problem have been established only for complex wavenumbers. In the present paper, by combining the HSM framework with a complex-scaling technique, we provide a new formulation for real wavenumbers which is provably well-posed and has the attraction for computation that the complex-scaled solutions of the integral equation system decay exponentially at infinity. The analysis requires the study of double-layer potential integral operators on intersecting infinite lines, and their analytic continuations. The effectiveness of the method is validated by preliminary numerical results. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.title | The Complex-Scaled Half-Space Matching Method | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This is the authors' accepted manuscript to an article published by Society for Industrial and Applied Mathematics. | en_US |
dc.subject.nsi | VDP::Anvendt matematikk: 413 | en_US |
dc.subject.nsi | VDP::Applied mathematics: 413 | en_US |
dc.source.journal | SIAM Journal on Mathematical Analysis | en_US |
dc.identifier.doi | 10.1137/20M1387122 | |
dc.identifier.cristin | 1996819 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |