3 citations · 3 across the 1 of their papers we have counts for
3 papers
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…
Quasi-interpolators with application to postprocessing in finite element methods
Thomas Führer, Manuel A. Sánchez
We design quasi-interpolation operators based on piecewise polynomial weight functions of degree less than or equal to that map into the space of continuous piecewise polynomia…
Reflectionless discrete perfectly matched layers for higher-order finite difference schemes
Vicente A. Hojas, Carlos Pérez-Arancibia, Manuel A. Sánchez
This paper introduces discrete-holomorphic Perfectly Matched Layers (PMLs) specifically designed for high-order finite difference (FD) discretizations of the scalar wave equation.…