The <i>hp</i>-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces

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dc.contributor.authorBespalov, Alexei
dc.contributor.authorHeuer, Norbert
dc.date.accessioned2025-01-21T00:06:12Z
dc.date.available2025-01-21T00:06:12Z
dc.date.issued2010
dc.description.abstractWe prove an a priori error estimate for the hp-version of the boundary element method with weakly singular operators in three dimensions. The underlying meshes are quasi-uniform. Our model problem is that of the Laplacian exterior to an open surface, where the solution has strong singularities that are not L-2-regular. Our results confirm previously conjectured convergence rates in h (the mesh size) and p (the polynomial degree) and these rates are given explicitly in terms of the exponents of the singular functions. In particular, for sufficiently smooth given data we prove a convergence in the energy norm like O(h(1/2)p(-1)).
dc.fuente.origenWOS
dc.identifier.doi10.1093/imanum/drn052
dc.identifier.eissn1464-3642
dc.identifier.issn0272-4979
dc.identifier.urihttps://doi.org/10.1093/imanum/drn052
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95579
dc.identifier.wosidWOS:000277509800002
dc.issue.numero2
dc.language.isoen
dc.pagina.final400
dc.pagina.inicio377
dc.revistaIma journal of numerical analysis
dc.rightsacceso restringido
dc.subjecthp-version with quasi-uniform meshes
dc.subjectboundary element method
dc.subjectweakly singular operators
dc.subjectsingularities
dc.titleThe <i>hp</i>-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces
dc.typeartículo
dc.volumen30
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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