Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens | Zendy

Ralf Hiptmair | Zendy; Carlos Jerez-Hanckes | Zendy; Carolina Urzúa–Torres | Zendy

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Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens

Author(s) -

Ralf Hiptmair,

Carlos Jerez-Hanckes,

Carolina Urzúa–Torres

Publication year - 2020

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/18m1196029

Subject(s) - mathematics , galerkin method , discretization , operator (biology) , boundary (topology) , singular integral , lipschitz continuity , polygon mesh , piecewise , boundary element method , mathematical analysis , bounded function , laplace operator , polynomial , finite element method , integral equation , geometry , biochemistry , chemistry , physics , repressor , gene , transcription factor , thermodynamics

We consider first-kind weakly singular and hypersingular boundary integral operators for the Laplacian on screens in $\mathbb{R}^{3}$ and their Galerkin discretization by means of low-order piecewi...

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