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01/25/2023
Optimisation of seismic imaging via bilevel learning
The implementation of Full Waveform Inversion (FWI) requires the a prior...
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08/22/2022
A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation
In this paper, we combine the Smolyak technique for multi-dimensional in...
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10/27/2021
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
The Restricted Additive Schwarz method with impedance transmission condi...
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10/26/2021
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems
GenEO ('Generalised Eigenvalue problems on the Overlap') is a method for...
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06/09/2021
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation
We analyse parallel overlapping Schwarz domain decomposition methods for...
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03/30/2021
GenEO coarse spaces for heterogeneous indefinite elliptic problems
Motivated by recent work on coarse spaces for Helmholtz problems, we pro...
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03/21/2021
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem
In this paper we revisit the Restricted Additive Schwarz method for solv...
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05/27/2020
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification
This paper analyses the following question: let A_j, j=1,2, be the Galer...
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04/20/2020
Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations
Numerical climate- and weather-prediction models require the fast soluti...
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04/08/2020
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation
We consider one-level additive Schwarz domain decomposition precondition...
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05/31/2019