20 citations · 80 across the 33 of their papers we have counts for
4 papers · 2 filters
Adaptive Spectral Galerkin Methods with Dynamic Marking
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson +1
The convergence and optimality theory of adaptive Galerkin methods is almost exclusively based on the Dörfler marking. This entails a fixed parameter and leads to a contraction con…
Convergence and Optimality of hp-AFEM
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson +1
We design and analyze an adaptive -finite element method (hp-AFEM) in dimensions . The algorithm consists of iterating two routines: hp-NEARBEST finds a near-best -a…
A virtual element method for the Cahn-Hilliard equation with polygonal meshes
Paola F. Antonietti, Lourenco Beirao da Veiga, Simone Scacchi +1
In this paper we develop an evolution of the virtual elements of minimal degree for the approximation of the Cahn-Hilliard equation. The proposed method has the advantage of…
Discontinuous Galerkin approximation of linear parabolic problems with dynamic boundary conditions
Paola F. Antonietti, Maurizio Grasselli, Simone Stangalino +1
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem with dynamic boundary conditions. We present the formulation and prove stability…