39 citations · 39 across the 4 of their papers we have counts for
5 papers
Quasi-Trefftz spaces for a first-order formulation of the Helmholtz equation
Lise-Marie Imbert-Gérard, Andréa Lagardère, Guillaume Sylvand +1
This work is concerned with the development of quasi-Trefftz methods for first-order differential systems. It focuses on discrete quasi-Trefftz spaces, starting from their definiti…
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties
Lise-Marie Imbert-Gerard, Guillaume Sylvand
Trefftz methods are numerical methods for the approximation of solutions to boundary and/or initial value problems. They are Galerkin methods with particular test and trial functio…
A roadmap for Generalized Plane Waves and their interpolation properties
Lise-Marie Imbert-Gerard, Guillaume Sylvand
This work focuses on the study of partial differential equation (PDE) based basis function for Discontinuous Galerkin methods to solve numerically wave-related boundary value probl…
A nonintrusive method to approximate linear systems with nonlinear parameter dependence
Fabien Casenave, Alexandre Ern, Tony Lelièvre +1
We consider a family of linear systems with system matrix depending on a parameter and for simplicity parameter-independent right-hand side . These linear sys…
Coupled BEM-FEM for the convected Helmholtz equation with non-uniform flow in a bounded domain
Fabien Casenave, Alexandre Ern, Guillaume Sylvand
We consider the convected Helmholtz equation modeling linear acoustic propagation at a fixed frequency in a subsonic flow around a scattering object. The flow is supposed to be uni…