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07/12/2022
The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
We consider approximation of the variable-coefficient Helmholtz equation...
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03/19/2022
Wavenumber-explicit parametric holomorphy of Helmholtz solutions in the context of uncertainty quantification
A crucial role in the theory of uncertainty quantification (UQ) of PDEs ...
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02/25/2021
Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method
Over the last ten years, results from [Melenk-Sauter, 2010], [Melenk-Sau...
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10/01/2020
Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients
A convergence theory for the hp-FEM applied to a variety of constant-coe...
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11/25/2019