Pietro Benedusi
Pietro Benedusi
Postdoc researcher
Group “High-Performance Methods for Numerical Simulation in Science, Medicine and Engineering”
Projects
I have worked on novel approaches to speed up simulations in computational medicine, fluid dynamics and astrophysics. In particular, studying and developing parallel space-time solution strategies to solve non-linear PDEs.
The solution of a time-periodic flow in a rectangular channel with an external perturbation (in red). This solution is computed with a space-time multigrid solver fully in parallel (details here).
Left: solution of a diffusion problem on a complex geometry using 4D space-time multigrid. Right: solution of a non-linear reaction-diffusion problem arising from computational electrophysiology using 4D space-time multigrid.
Pubblications
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P. Benedusi, M. Minion and R. Krause. An Experimental Comparison of a Space-time Multigrid Methods with PFASST for a Reaction-diffusion Problem. Submitted. 2020. link
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S. B. Bader, P. Benedusi, A. Quaglino, P. Zulian, and R. Krause. Space-time Multilevel Monte Carlo Methods and Their Application to Cardiac Electrophysiology. Submitted. 2019. link
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P. Benedusi., P. Ferrari, C. Garoni, R. Krause, and S. Serra-Capizzano. Fast Parallel Solver for the Space-time IGA-DG Discretization of the Anisotropic Diffusion Equation. Submitted. 2019. link
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P. Benedusi, X. Garoni, C. Li, R. Krause and S. Serra-Capizzano. Discontinuous Galerkin Discretization of the Heat Equation in Any Dimension: the Spectral Symbol. SIAM Journal on Matrix Analysis and Applications, 2018. link
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P. Benedusi, D. Hupp, P. Arbenz, and R. Krause. A Parallel Multigrid Solver for Time–periodic Incompressible Navier–Stokes Equations in 3D. In Numerical Mathematics and Advanced Applications ENUMATH 2015, pages 265–273. Springer, 2016. link
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L. Grasedyck, C. Löbbert, G. Wittum, A. Nägel, V. Schulz, M. Sieben- born, R. Krause, P. Benedusi, Uwe Küster, and Björn Dick. Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations. In Software for Exascale Computing-SPPEXA 2013-2015, pages 507–523. Springer, 2016.
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A. Kreienbuehl, P. Benedusi, D. Ruprecht, and R. Krause. Time-parallel Gravitational Collapse Simulation. Communications in Applied Mathematics and Computational Science, 12(1):109–128, 2017. link
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X. Li, P. Benedusi, and R. Krause. An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods. 2016. link
