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20172026
most citedBoundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner

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math.NA2023★ 1 cited

Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner

Martin Averseng, Xavier Claeys, Ralf Hiptmair

We present a preconditioning method for the linear systems arising from the boundary element discretization of the Laplace hypersingular equation on a -dimensional triangulated…

math.NA2023

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies

Martin Averseng, Euan A. Spence, Jeffrey Galkowski

For -FEM discretisations of the Helmholtz equation with wavenumber , we obtain -explicit analogues of the classic local FEM error bounds of [Nitsche, Schatz 1974], [Wahlbi…