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- Istituto di Fotonica e NanotecnologieIT287 papers
- University of MilanIT253 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di MilanoIT232 papers
- Sapienza University of RomeIT155 papers
- Italian Institute of TechnologyIT125 papers
- University of Milano-BicoccaIT115 papers
- National Research CouncilLK110 papers
- University of GenoaIT102 papers
- University of Rome Tor VergataIT102 papers
- University of BolognaIT101 papers
- University of Naples Federico IIIT97 papers
6 papers · 2 filters
Monotonicity, positivity and strong stability of the TR-BDF2 method and of its SSP extensions
Luca Bonaventura, Alessandro Della Rocca
We analyze the one-step method TR-BDF2 from the point of view of monotonicity, strong stability and positivity. All these properties are strongly related and reviewed in the common…
Local Exponential Methods: a domain decomposition approach to exponential time integration of PDEs
Luca Bonaventura
A local approach to the time integration of PDEs by exponential methods is proposed, motivated by theoretical estimates by A.Iserles on the decay of off-diagonal terms in the expon…
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…
Hierarchical Electrochemical Modeling and Simulation of Bio-Hybrid Interfaces
Emanuela Abbate, Matteo Porro, Thierry Nieus +1
In this article we propose and investigate a hierarchy of mathematical models based on partial differential equations (PDE) and ordinary differential equations (ODE) for the simula…