4 papers
Robust Hierarchical Matrix Compression of Acoustic Volume and Boundary Integral Operators
Alberto Almuna-Morales, Danilo Aballay, Ignacio Labarca-Figueroa +1
Discretizing integral formulations of the Helmholtz equation yields dense linear systems. Hence, simulating acoustic models at larger scales or higher frequencies is typically cons…
Nested Volume-Surface Integral Equations for Acoustics
Danilo Aballay, Elwin van 't Wout
The simulation of high-frequency acoustic wave propagation in unbounded domains with local heterogeneous materials and high-contrast interfaces poses significant challenges to nume…
Full-Wave Modeling of Transcranial Ultrasound using Volume-Surface Integral Equations and CT-Derived Heterogeneous Skull Data
Alberto Almuna-Morales, Danilo Aballay, Pierre Gélat +2
Transcranial ultrasound therapy uses focused acoustic energy to induce therapeutic bioeffects in the brain. Ultrasound must be transmitted through the skull, which is highly attenu…
An -adaptive finite element method using neural networks for parametric self-adjoint elliptic problem
Danilo Aballay, Federico Fuentes, Vicente Iligaray +5
This work proposes an -adaptive finite element method (FEM) using neural networks (NNs). The method employs the Ritz energy functional as the loss function, currently limiting i…