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

DOI10.1007/s00020-018-2425-yzbMath1390.45026arXiv1703.08556OpenAlexW2609480689WikidataQ130169211 ScholiaQ130169211MaRDI QIDQ1743549

Carlos Jerez-Hanckes, Ralf Hiptmair, Carolina Urzúa-Torres

Publication date: 13 April 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08556

zbMATH Keywords

boundary integral operatorsscreensexact inversesprojected spherical harmonics

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (7)

Uniform preconditioners for problems of positive order ⋮ On the mean first arrival time of Brownian particles on Riemannian manifolds ⋮ Optimal operator preconditioning for pseudodifferential boundary problems ⋮ New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results ⋮ Uniform preconditioners for problems of negative order ⋮ Preconditioning the EFIE on screens ⋮ Compact equivalent inverse of the electric field integral operator on screens

Uses Software

• DLMF

Cites Work

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• Eigenfunctions of the Integral Equation for the Potential of the Charged Disk

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