A Unified Framework for Double Sweep Methods for the Helmholtz Equation

no code implementations • 26 Oct 2020 • N. Bouziani, Henri Calandra, Frédéric Nataf

We consider sweeping domain decomposition preconditioners to solve the Helmholtz equation in the case of stripwise domain decomposition with or without overlaps.

Numerical Analysis Numerical Analysis

On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method

no code implementations • 9 Apr 2019 • Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur

Here a feedforward neural network is used to approximate the solution of the partial differential equation.