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08/02/2023
Shape Uncertainty Quantification for Electromagnetic Wave Scattering via First-Order Sparse Boundary Element Approximation
Quantifying the effects on electromagnetic waves scattered by objects of...
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02/17/2023
h-analysis and data-parallel physics-informed neural networks
We explore the data-parallel acceleration of physics-informed machine le...
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11/15/2022
Physics-informed neural networks for operator equations with stochastic data
We consider the computation of statistical moments to operator equations...
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05/13/2022
Hyper-parameter tuning of physics-informed neural networks: Application to Helmholtz problems
We consider physics-informed neural networks [Raissi et al., J. Comput. ...
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11/10/2020
Bi-Parametric Operator Preconditioning
We extend the general operator preconditioning framework [R. Hiptmair, C...
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08/11/2020
Accelerated Calderón preconditioning for Maxwell transmission problems
We investigate a range of techniques for the acceleration of Calderón (o...
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03/18/2020
Local Multiple Traces Formulation for Electromagnetics: Stability and Preconditioning for Smooth Geometries
We consider the time-harmonic electromagnetic transmission problem for t...
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08/30/2019