2 citations · 4 across the 8 of their papers we have counts for
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Freezing Calderón: Robust Preconditioning for Maxwell Scattering under Shape Uncertainty
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
Calderón preconditioning restores mesh-independent conditioning for boundary-element discretizations of the Maxwell electric field integral equation, but assembling the dual baryce…
Shape Holomorphy and Sparse Approximation of the Maxwell Electric Field Integral Operator
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
Time-harmonic Maxwell scattering by a perfectly conducting obstacle is governed by the electric field integral equation (EFIE), whose natural energy space is $\boldsymbol H^{-1/2}(…
Hyper-parameter tuning of physics-informed neural networks: Application to Helmholtz problems
Paul Escapil-Inchauspé, Gonzalo A. Ruz
We consider physics-informed neural networks (PINNs) [Raissi et al., J.~Comput. Phys. 278 (2019) 686-707] for forward physical problems. In order to find optimal PINNs configuratio…
Bi-Parametric Operator Preconditioning
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We extend the operator preconditioning framework [R. Hiptmair, Comput. Math. with Appl. 52 (2006), pp.~699--706] to Petrov-Galerkin methods while accounting for parameter-dependent…
Accelerated Calderón preconditioning for Maxwell transmission problems
Antigoni Kleanthous, Timo Betcke, David P. Hewett +3
We investigate a range of techniques for the acceleration of Calderón (operator) preconditioning in the context of boundary integral equation methods for electromagnetic transmissi…
Local Multiple Traces Formulation for Electromagnetics: Stability and Preconditioning for Smooth Geometries
Alan Ayala, Xavier Claeys, Paul Escapil-Inchauspé +1
We consider the time-harmonic electromagnetic transmission problem for the unit sphere. Appealing to a vector spherical harmonics analysis, we prove the first stability result of t…