About Some Boundary Integral Operators on the Unit Disk Related to the Laplace Equation

DOI10.1137/15M1033721zbMath1371.65126OpenAlexW2744102658MaRDI QIDQ4978198

Jean-Claude Nédélec, Pedro Ramaciotti Morales

Publication date: 18 August 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1033721

zbMATH Keywords

numerical exampleLaplace equationboundary element methodsboundary integral operatorshypersingular operatorpreconditioners for iterative methodsopen surface problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Preconditioners for iterative methods (65F08)

Related Items (2)

Closed-form inverses of the weakly singular and hypersingular operators on disks ⋮ New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results

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