Closed-form inverses of the weakly singular and hypersingular operators on disks

We introduce new boundary integral operators which are the exact inverses of the weakly singular and hypersingular operators for the Laplacian on flat disks. Moreover, we provide explicit closed forms for them and prove the continuity and ellipticity of their corresponding bilinear forms in the natu...

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Bibliographic Details
Main Authors: Hiptmair, R, Jerez-Hanckes, C, Urzúa-Torres, C
Format: Journal article
Language:English
Published: Springer Verlag 2018