12 citations · 13 across the 2 of their papers we have counts for
5 papers
Towards Stable Radial Basis Function Methods for Linear Advection Problems
Jan Glaubitz, Elise Le Mélédo, Philipp Öffner
In this work, we investigate (energy) stability of global radial basis function (RBF) methods for linear advection problems. Classically, boundary conditions (BC) are enforced stro…
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…