ABOUT SOME BOUNDARY INTEGRAL OPERATORS ON THE UNIT DISK RELATED TO THE LAPLACE EQUATION

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dc.contributor.authorRamaciotti, Pedro
dc.contributor.authorNedelec, Jean-Claude
dc.date.accessioned2025-01-23T21:25:15Z
dc.date.available2025-01-23T21:25:15Z
dc.date.issued2017
dc.description.abstractWe introduce four integral operators related to the Laplace equation in three dimensions on the circular unit disk. Two of them are related to the weakly singular operator and the other two are related to the hypersingular operator. We provide series expressions for their kernels using proposed bases for the Sobolev trace spaces involved in the symmetric Dirichlet and antisymmetric Neumann Laplace screen problems on the disk. We then provide explicit and closed variational forms suitable for boundary element computations. We develop numerical computation schemes for the associated Galerkin matrices and test their use as preconditioners for the matrices arising from the integral equations associated with the solution of the mentioned screen problems.
dc.fuente.origenWOS
dc.identifier.doi10.1137/15M1033721
dc.identifier.eissn1095-7170
dc.identifier.issn0036-1429
dc.identifier.urihttps://doi.org/10.1137/15M1033721
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101327
dc.identifier.wosidWOS:000408925300014
dc.issue.numero4
dc.language.isoen
dc.pagina.final1914
dc.pagina.inicio1892
dc.revistaSiam journal on numerical analysis
dc.rightsacceso restringido
dc.subjectopen surface problem
dc.subjectboundary integral operators
dc.subjectboundary element methods
dc.subjectpreconditioners for iterative methods
dc.titleABOUT SOME BOUNDARY INTEGRAL OPERATORS ON THE UNIT DISK RELATED TO THE LAPLACE EQUATION
dc.typeartículo
dc.volumen55
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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