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Multilevel Domain Uncertainty Quantification in Computational Electromagnetics
(2022)SAM Research ReportWe continue our study [Domain Uncertainty Quantification in Computational Electromagnetics, JUQ (2020), {\bf 8}:301--341] of the numerical approximation of time-harmonic electromagnetic fields for the Maxwell lossy cavity problem for uncertain geometries. We adopt the same affine-parametric shape parametrization framework, mapping the physical domains to a nominal polygonal domain with piecewise smooth maps. The regularity of the pullback ...Report -
ReLU Neural Network Galerkin BEM
(2022)SAM Research ReportWe introduce Neural Network (NN for short) approximation architectures for the numerical solution of Boundary Integral Equations (BIEs for short). We exemplify the proposed NN approach for the boundary reduction of the potential problem in two spatial dimensions. We adopt a Galerkin formulation based approach, in polygonal domains with a finite number of straight sides. Trial spaces used in the Galerkin discretization of the BIEs are built ...Report -
Domain Uncertainty Quantification in Computational Electromagnetics
(2019)SAM Research ReportReport