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10 papers · 2 filters
A projection-based reduced-order model for parametric quasi-static nonlinear mechanics using an open-source industrial code
Eki Agouzal, Jean-Philippe Argaud, Michel Bergmann +2
We propose a projection-based model order reduction procedure for a general class of parametric quasi-static problems in nonlinear mechanics with internal variables. The methodolog…
A well-balanced Active Flux method for the shallow water equations with wetting and drying
Wasilij Barsukow, Jonas P. Berberich
Active Flux is a third order accurate numerical method which evolves cell averages and point values at cell interfaces independently. It naturally uses a continuous reconstruction,…
Well balanced finite volume schemes for shallow water equations on manifolds
Michele Giuliano Carlino, Elena Gaburro
In this paper we propose a novel second-order accurate well balanced scheme for shallow water equations in general covariant coordinates over manifolds. In our approach, once the g…
Extensions of Active Flux to arbitrary order of accuracy
Rémi Abgrall, Wasilij Barsukow
Active Flux is a recently developed numerical method for hyperbolic conservation laws. Its classical degrees of freedom are cell averages and point values at cell interfaces. These…
A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity
Angelo Iollo, Giulia Sambataro, Tommaso Taddei
We propose a component-based (CB) parametric model order reduction (pMOR) formulation for parameterized nonlinear elliptic partial differential equations (PDEs) based on overlappin…
High order entropy preserving ADER scheme
Elena Gaburro, Philipp Öffner, Mario Ricchiuto +1
In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin (ADER-DG) method. To obtain this desired result, we equip the space part of the method wit…