A DIRECT COUPLING OF LOCAL DISCONTINUOUS GALERKIN AND BOUNDARY ELEMENT METHODS

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dc.contributor.authorGatica, Gabriel N.
dc.contributor.authorHeuer, Norbert
dc.contributor.authorJavier Sayas, Francisco
dc.date.accessioned2025-01-21T00:05:27Z
dc.date.available2025-01-21T00:05:27Z
dc.date.issued2010
dc.description.abstractThe coupling of local discontinuous Galerkin (LDG) and boundary element methods (BEM), which has been developed recently to solve linear and nonlinear exterior transmission problems, employs a mortar-type auxiliary unknown to deal with the weak continuity of the traces at the interface boundary. As a consequence, the main features of LDG and BEM are maintained and hence the coupled approach benefits from the advantages of both methods. In this paper we propose and analyze a simplified procedure that avoids the mortar variable by employing LDG subspaces whose functions are continuous on the coupling boundary. The continuity can be implemented either directly or indirectly via the use of Lagrangian multipliers. In this way, the normal derivative becomes the only boundary unknown, and hence the total number of unknown functions is reduced by two. We prove the stability of the new discrete scheme and derive an a priori error estimate in the energy norm. A numerical example confirming the theoretical result is provided. The analysis is also extended to the case of nonlinear problems and to the coupling with other discontinuous Galerkin methods.
dc.fuente.origenWOS
dc.identifier.eissn1088-6842
dc.identifier.issn0025-5718
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95548
dc.identifier.wosidWOS:000279776900006
dc.issue.numero271
dc.language.isoen
dc.pagina.final1394
dc.pagina.inicio1369
dc.revistaMathematics of computation
dc.rightsacceso restringido
dc.subjectBoundary elements
dc.subjectlocal discontinuous Galerkin method
dc.subjectcoupling
dc.subjecterror estimates
dc.titleA DIRECT COUPLING OF LOCAL DISCONTINUOUS GALERKIN AND BOUNDARY ELEMENT METHODS
dc.typeartículo
dc.volumen79
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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