Closed-Form Inverses of the Weakly Singular and Hypersingular Operators on Disks

R. Hiptmair, C. Jerez-Hanckes, C. Urzúa-Torres

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

8 Citas (Scopus)

Resumen

We establish new explicit expressions and variational forms of boundary integral operators that provide the exact inverses of the weakly singular and hypersingular operators for - Δ on flat disks. We derive closed-form formulas for their singular kernels. We also show that the inverse of the weakly singular operator can be obtained by composing surface curl operators and the inverse of the hypersingular operator.

Idioma originalInglés
Número de artículo4
PublicaciónIntegral Equations and Operator Theory
Volumen90
N.º1
DOI
EstadoPublicada - 1 feb. 2018
Publicado de forma externa

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