2 citations · 4 across the 8 of their papers we have counts for
10 papers
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}(…
Local Multiple Traces Formulation for Heterogeneous Electromagnetic Scattering: Implementation and Preconditioning
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We consider the three-dimensional time-harmonic electromagnetic (EM) wave scattering transmission problem involving heterogeneous scatterers. The fields are approximated using the…
Shape Uncertainty Quantification for Electromagnetic Wave Scattering via First-Order Sparse Boundary Element Approximation
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
Quantifying the effects on electromagnetic waves scattered by objects of uncertain shape is key for robust design, particularly in high precision applications. Assuming small rando…
Physics-informed neural networks for operator equations with stochastic data
Paul Escapil-Inchauspé, Gonzalo A. Ruz
We consider the computation of statistical moments to operator equations with stochastic data. We remark that application of PINNs -- referred to as TPINNs -- allows to solve the i…
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…
Shape differentiability of Helmholtz scattering problems via explicit shape calculus
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We consider the time-harmonic scalar wave scattering problems with Dirichlet, Neumann, impedance and transmission boundary conditions. Under this setting, we analyze how sensitive…
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…