1. D. Di Pietro, F. Hülsemann, P. Matalon, P. Mycek and U. Rüde. Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations. SIAM Journal on Scientific Computing, S329-S350, 2023.

  2. D. Di Pietro, P. Matalon, P. Mycek and U. Rüde. High-order multigrid strategies for HHO discretizations of elliptic equations. Numerical Linear Algebra with Applications, e2456, 2022.

  3. D. Di Pietro, F. Hülsemann, P. Matalon, P. Mycek, U. Rüde and D. Ruiz. Towards robust, fast solutions of elliptic equations on complex domains through hybrid high-order discretizations and non-nested multigrid methods. International Journal for Numerical Methods in Engineering, 122:6576-6595, 2021.

  4. D. Di Pietro, F. Hülsemann, P. Matalon, P. Mycek, U. Rüde and D. Ruiz. An h-multigrid method for Hybrid High-Order discretizations. SIAM Journal on Scientific Computing, 43(5):S839-S861, 2021.

  5. J. Reis, O. Le Maître, P. Congedo and P. Mycek. Stochastic Preconditioning of Domain Decomposition Methods for Elliptic Equations with Random Coefficients. Computer Methods in Applied Mechanics and Engineering, 381:113845, 2021.

  6. E. Agullo, M. Altenbernd, H. Anzt, L. Bautista-Gomez, T. Benacchio, L. Bonaventura, H.-J. Bungartz, S. Chatterjee, F.M. Ciorba, N. DeBardeleben, D. Drzisga, S. Eibl, C. Engelmann, W.N. Gansterer, L. Giraud, D. Göddeke, M. Heisig, F. Jézéquel, N. Kohl, X.S. Li, R. Lion, M. Mehl, P. Mycek, M. Obersteiner, E.S. Quintana-Ortí, F. Rizzi, U. Rüde, M. Schulz, F. Fung, R. Speck, L. Stals, K. Teranishi, S. Thibault, D. Thönnes, A. Wagner, B. Wohlmuth. Resiliency in numerical algorithm design for extreme scale simulations. The International Journal of High Performance Computing Applications, 2021.

  7. P. Mycek and M. De Lozzo. Multilevel Monte Carlo covariance estimation for the computation of Sobol’ indices. SIAM/ASA Journal on Uncertainty Quantification, 7(4):1323-1348, 2019.

  8. A. Contreras, P. Mycek, O. Le Maître, F. Rizzi, B. Debusschere, and O. Knio. Parallel domain decomposition strategies for stochastic elliptic equations. Part A: Local Karhunen-Loève representations. SIAM Journal on Scientific Computing, 40(4):C520-C546, 2018.

  9. A. Contreras, P. Mycek, O. Le Maître, F. Rizzi, B. Debusschere, and O. Knio. Parallel domain decomposition strategies for stochastic elliptic equations. Part B: Accelerated Monte Carlo Sampling with Local PC Expansions. SIAM Journal on Scientific Computing, 40(4):C547-C580, 2018.

  10. F. Rizzi, K. Morris, K. Sargsyan, P. Mycek, C. Safta, O. Le Maître, O. Knio, and B. Debusschere. Exploring the interplay of resilience and energy consumption for a task-based partial differential equations preconditioner. Parallel Computing, 73:16–27, 2018.

  11. P. Mycek, A. Contreras, O. Le Maître, K. Sargsyan, F. Rizzi, K. Morris, C. Safta, B. Debusschere, and O. Knio. A resilient domain decomposition polynomial chaos solver for uncertain elliptic PDEs. Computer Physics Communications, 216:18–34, 2017.

  12. P. Mycek, F. Rizzi, O. Le Maître, K. Sargsyan, K. Morris, C. Safta, B. Debusschere, and O. Knio. Discrete a priori bounds for the detection of corrupted PDE solutions in exascale computations. SIAM Journal on Scientific Computing, 39(1):C1–C28, 2017.

  13. F. Rizzi, K. Morris, K. Sargsyan, P. Mycek, C. Safta, O. Le Maître, O. Knio, and B. Debusschere. Partial differential equations preconditioner resilient to soft and hard faults. The International Journal of High Performance Computing Applications, 32(5):658-673, 2017.

  14. P. Mycek, G. Pinon, C. Lothodé, A. Dezotti, and C. Carlier. Iterative solver approach for turbine interactions: application to wind or marine current turbine farms. Applied Mathematical Modelling, 41:331–349, 2017.

  15. P. Mycek, G. Pinon, G. Germain, and E. Rivoalen. Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations. Computational and Applied Mathematics, 35(2):447–473, 2016.

  16. K. Sargsyan, F. Rizzi, P. Mycek, C. Safta, K. Morris, H. Najm, O. Le Maître, O. Knio, and B. Debusschere. Fault resilient domain decomposition preconditioner for PDEs. SIAM Journal on Scientific Computing, 37(5):A2317–A2345, 2015.

  17. P. Mycek, B. Gaurier, G. Germain, G. Pinon, and E. Rivoalen. Experimental study of the turbulence intensity effects on marine current turbines behaviour. Part I: One single turbine. Renewable Energy, 66(0):729–746, 2014.

  18. P. Mycek, B. Gaurier, G. Germain, G. Pinon, and E. Rivoalen. Experimental study of the turbulence intensity effects on marine current turbines behaviour. Part II: two interacting turbines. Renewable Energy, 68(0):876–892, 2014.

  19. P. Mycek, B. Gaurier, G. Germain, G. Pinon, and E. Rivoalen. Numerical and experimental study of the interaction between two marine current turbines. International Journal of Marine Energy, 1(0):70–83, 2013.

  20. P. Mycek, G. Pinon, G. Germain, and E. Rivoalen. A self-regularising DVM-PSE method for the modelling of diffusion in particle methods. Comptes Rendus Mécanique, 341(9–10):709–714, 2013.

  21. G. Pinon, P. Mycek, G. Germain, and E. Rivoalen. Numerical simulation of the wake of marine current turbines with a particle method. Renewable Energy, 46(0):111–126, 2012.