We prove sharp bounds on certain impedance-to-impedance maps (and their compositions) for the Helmholtz equation with large wavenumber (i.e., at high frequency) using semiclassical defect measures. Gong et al. (Numer. Math....
A crucial role in the theory of uncertainty quantification (UQ) of PDEs is played by the regularity of the solution with respect to the stochastic parameters; indeed, a key property one seeks to establish is that the solution...
A crucial role in the theory of uncertainty quantification (UQ) of PDEs is played by the regularity of the solution with respect to the stochastic parameters; indeed, a key property one seeks to establish is that the solution...
We prove sharp bounds on certain impedance-to-impedance maps (and their compositions) for the Helmholtz equation with large wavenumber (i.e., at high frequency) using semiclassical defect measures. Gong et al. (Numer. Math....
Full waveform inversion (FWI) is a standard algorithm in seismic imaging. It solves the inverse problem of computing a model of the physical properties of the earth’s subsurface by minimising the misfit between actual...
Full waveform inversion (FWI) is a standard algorithm in seismic imaging. It solves the inverse problem of computing a model of the physical properties of the earth’s subsurface by minimising the misfit between actual...
The Restricted Additive Schwarz method with impedance transmission conditions, also known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple overlapping one-level parallel domain decomposition method...
The Restricted Additive Schwarz method with impedance transmission conditions, also known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple overlapping one-level parallel domain decomposition method...
We prove well-posedness results and a priori bounds on the solution of the Helmholtz equation ∇ (A∇u)+k 2nu = -f, posed either in ℝ d or in the exterior of a star-shaped Lipschitz obstacle, for a class...
We prove well-posedness results and a priori bounds on the solution of the Helmholtz equation ∇ (A∇u)+k 2nu = -f, posed either in ℝ d or in the exterior of a star-shaped Lipschitz obstacle, for a class...
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