Development of fast solvers for statically condensed linear systems arising from Hybrid High-Order (HHO) discretizations.

Download CV (2023).

Interests
  • Scientific computing
  • High Performance Computing
  • Numerical analysis
  • Linear solvers
  • Multigrid methods

Preprints

and working papers

D. A. Di Pietro, Z. Dong, G. Kanschat, P. Matalon, A. Rupp. Homogeneous multigrid for hybrid discretizations: application to HHO methods. submitted, 2024.
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P. F. Antonietti, P. Matalon, M. Verani. Iterative solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order method. submitted, 2023.
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Publications

in peer-reviewed journal papers

D. A. Di Pietro, F. Hülsemann, P. Matalon, P. Mycek, U. Rüde. Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations. SIAM J. Sci. Comput., 2023.
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D. A. Di Pietro, P. Matalon, P. Mycek, U. Rüde. High-order multigrid strategies for HHO discretizations of elliptic equations. Numer. Linear Algebra Appl., 2023.
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D. A. Di Pietro, F. Hülsemann, P. Matalon, P. Mycek, U. Rüde, D. Ruiz. Towards robust, fast solutions of elliptic equations on complex domains through hybrid high‐order discretizations and non‐nested multigrid methods. Int. J. Numer. Methods Eng., 2021.
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D. A. Di Pietro, F. Hülsemann, P. Matalon, P. Mycek, U. Rüde, D. Ruiz. An h-multigrid method for Hybrid High-Order discretizations. SIAM J. Sci. Comput., 2021.
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Thesis

P. Matalon. Fast solvers for robust discretizations in computational fluid dynamics. Ph.D. thesis, 2021.
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Software

samurai
Structured Adaptive mesh and MUlti-Resolution based on Algebra of Intervals
Sep 1, 2021
Code
fhhos4
Fast HHO solver for research
Sep 1, 2018
Code

Experience

 
 
 
 
 
Research engineer
CMAP, Ecole polytechnique
Sep 2022 – Present Palaiseau, France
 
 
 
 
 
Postdoctoral reseacher
MOX, Politecnico di Milano
Oct 2021 – Sep 2022 Milan, Italy
 
 
 
 
 
Ph.D. student
CERFACS
Aug 2018 – Oct 2021 Toulouse, France
 
 
 
 
 
Engineering career
Sep 2006 – Jul 2018