18 citations · 37 across the 8 of their papers we have counts for
4 papers · 1 filter
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy
Pietro Benedusi, Paola Ferrari, Marie Rognes +1
In this work, we are interested in solving large linear systems stemming from the Extra-Membrane-Intra (EMI) model, which is employed for simulating excitable tissues at a cellular…
Numerical solutions to linear transfer problems of polarized radiation II. Krylov methods and matrix-free implementation
Pietro Benedusi, Gioele Janett, Luca Belluzzi +1
Context. Numerical solutions to transfer problems of polarized radiation in solar and stellar atmospheres commonly rely on stationary iterative methods, which often perform poorly…
An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem
Pietro Benedusi, Michael Minion, Rolf Krause
We consider two parallel-in-time approaches applied to a (reaction) diffusion problem, possibly non-linear. In particular, we consider PFASST (Parallel Full Approximation Scheme in…
An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods
Xiaozhou Li, Pietro Benedusi, Rolf Krause
We present a new class of iterative schemes for solving initial value problems (IVP) based on discontinuous Galerkin (DG) methods. Starting from the weak DG formulation of an IVP,…