54 citations · 71 across the 8 of their papers we have counts for
4 papers · 1 filter
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability
Rémi Abgrall, Jan Nordström, Philipp Öffner +1
In the research community, there exists the strong belief that a continuous Galerkin scheme is notoriously unstable and additional stabilization terms have to be added to guarantee…
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems
Rémi Abgrall, Jan Nordström, Philipp Öffner +1
In the hyperbolic community, discontinuous Galerkin approaches are mainly applied when finite element methods are considered. As the name suggested, the DG framework allows a disco…
General polytopal H(div) conformal finite elements and their discretisation spaces
Rémi Abgrall, Élise Le Mélédo, Philipp Öffner
We present a class of discretisation spaces and H(div)-conformal elements that can be built on any polytope. Bridging the flexibility of the Virtual Element spaces towards the elem…
A class of finite dimensional spaces and H(div) conformal elements on general polytopes
Rémi Abgrall, Élise Le Mélédo, Philipp Öffner
We present a class of discretisation spaces and H(div)-conformal elements that can be built on any polytope. Bridging the flexibility of the Virtual Element spaces towards the elem…