4 papers
Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
Bartolomeo Fanizza, Florent Renac
This work concerns the design and analysis of a limiting technique that allows the preservation of invariant domains for high-order numerical approximations of nonlinear hyperbolic…
A data-driven learned discretization approach in finite volume schemes for hyperbolic conservation laws and varying boundary conditions
Guillaume de Romémont, Florent Renac, Jorge Nunez +1
This paper presents a data-driven finite volume method for solving 1D and 2D hyperbolic partial differential equations. This work builds upon the prior research incorporating a dat…
Maximum principle preserving time implicit DGSEM for nonlinear scalar conservation laws
Florent Renac
This work concerns the analysis of the discontinuous Galerkin spectral element method (DGSEM) with implicit time stepping for the numerical approximation of nonlinear scalar conser…
Comparative study of inner-outer Krylov solvers for linear systems in structured and high-order unstructured CFD problems
Mehdi Jadoui, Christophe Blondeau, Emeric Martin +2
Advanced Krylov subspace methods are investigated for the solution of large sparse linear systems arising from stiff adjoint-based aerodynamic shape optimization problems. A specia…