@ARTICLE
Di Pietro, D.A., Hülsemann, F., Matalon, P., Mycek, P. and Ruede, U. (2023) Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations, SIAM Journal on Scientific Computing, 45 (3) , pp. S329-S350, doi: 10.1137/21M1429849
[bibtex]
@ARTICLE{AR-PA-23-29,
author = {Di Pietro, D.A. and Hülsemann, F. and Matalon, P. and Mycek, P. and Ruede, U. },
title = {Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations},
year = {2023},
number = {3},
volume = {45},
pages = {S329-S350},
doi = {10.1137/21M1429849},
journal = {SIAM Journal on Scientific Computing}}
Agullo, E., Altenbernd, M., Anzt, H., Bautista-Gomez, L.A., Benacchio, T., Bonaventura, L., Bungartz, H.J., Chatterjee, S., Ciorba, F.M., DeBardeleben, N., Drzisga, D., Eibl, S., Engelmann, C., Gansterer, W.N., Giraud, L., Göddeke, D., Heisig, M., Jézéquel, F., Kohl, N., Li, X.S., Lion, R., Mehl, M., Mycek, P., Obersteiner, M., Quintana-Orti, E.S., Rizzi, F., Ruede, U., Schulz, M., Fung, F., Speck, R., Stals, L., Teranishi, K., Thibault, S., Thönnes, D., Wagner, A. and Wohlmuth, B. (2022) Resiliency in numerical algorithm design for extreme scale simulations, International Journal of High Performance Computing Applications, 36 (2) , pp. 251-285, doi: 10.1177/10943420211055188
[bibtex]
[url]
@ARTICLE{AR-PA-22-143,
author = {Agullo, E. and Altenbernd, M. and Anzt, H. and Bautista-Gomez, L.A. and Benacchio, T. and Bonaventura, L. and Bungartz, H.J. and Chatterjee, S. and Ciorba, F.M. and DeBardeleben, N. and Drzisga, D. and Eibl, S. and Engelmann, C. and Gansterer, W.N. and Giraud, L. and Göddeke, D. and Heisig, M. and Jézéquel, F. and Kohl, N. and Li, X.S. and Lion, R. and Mehl, M. and Mycek, P. and Obersteiner, M. and Quintana-Orti, E.S. and Rizzi, F. and Ruede, U. and Schulz, M. and Fung, F. and Speck, R. and Stals, L. and Teranishi, K. and Thibault, S. and Thönnes, D. and Wagner, A. and Wohlmuth, B. },
title = {Resiliency in numerical algorithm design for extreme scale simulations},
year = {2022},
number = {2},
volume = {36},
pages = {251-285},
doi = {10.1177/10943420211055188},
journal = {International Journal of High Performance Computing Applications},
url = {https://journals.sagepub.com/doi/10.1177/10943420211055188}}
Di Pietro, D.A., Matalon, P., Mycek, P. and Ruede, U. (2022) High-order multigrid strategies for Hybrid high-order discretizations of elliptic equations, Numerical Linear Algebra with Applications, 30 (1) , pp. e2456, doi: 10.1002/nla.2456
[bibtex]
@ARTICLE{AR-PA-22-224,
author = {Di Pietro, D.A. and Matalon, P. and Mycek, P. and Ruede, U. },
title = {High-order multigrid strategies for Hybrid high-order discretizations of elliptic equations},
year = {2022},
number = {1},
volume = {30},
pages = {e2456},
doi = {10.1002/nla.2456},
journal = {Numerical Linear Algebra with Applications},
abstract = {This study compares various multigrid strategies for the fast solution of elliptic equations discretized by the Hybrid High-Order method. Combinations of h-, p-and hp-coarsening strategies are considered, combined with diverse intergrid transfer operators. Comparisons are made experimentally on 2D and 3D test cases, with structured and unstructured meshes, and with nested and non-nested hierarchies. Advantages and drawbacks of each strategy are discussed for each case to establish simplified guidelines for the optimization of the time to solution. },
keywords = {Elliptic partial differential equation, hybrid high-order, multigrid, coarsening strategy}}
Di Pietro, D.A., Matalon, P., Mycek, P. and Ruede, U. (2022) High-order multigrid strategies for HHO discretizations of elliptic equations, HAL Preprint, pp. hal-03531293 , doi: 10.1002/nla.2456
[bibtex]
@ARTICLE{AR-PA-22-225,
author = {Di Pietro, D.A. and Matalon, P. and Mycek, P. and Ruede, U. },
title = {High-order multigrid strategies for HHO discretizations of elliptic equations},
year = {2022},
pages = {hal-03531293 },
doi = {10.1002/nla.2456},
journal = {HAL Preprint}}
Di Pietro, D.A., Hülsemann , F., Matalon, P., Mycek, P., Ruede, U. and Ruiz, D. (2021) An H-Multigrid Method for Hybrid High-Order Discretizations - Special Section Copper Mountain 2020, SIAM Journal on Scientific Computing, 43 (5) , pp. S839–S861, doi: 10.1137/20M1342471
[bibtex]
[url]
@ARTICLE{AR-PA-21-118,
author = {Di Pietro, D.A. and Hülsemann , F. and Matalon, P. and Mycek, P. and Ruede, U. and Ruiz, D. },
title = {An H-Multigrid Method for Hybrid High-Order Discretizations - Special Section Copper Mountain 2020},
year = {2021},
number = {5},
volume = {43},
pages = {S839–S861},
doi = {10.1137/20M1342471},
journal = {SIAM Journal on Scientific Computing},
keywords = {partial differential equations, hybrid high-order, multigrid, static condensation },
url = {https://epubs.siam.org/doi/10.1137/20M1342471}}
Di Pietro, D.A., Hülsemann , F., Matalon, P., Mycek, P., Ruede, U. and Ruiz, D. (2021) 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 (22) , pp. 6576-6595, doi: 10.1002/nme.6803
[bibtex]
[url] [pdf]
@ARTICLE{AR-PA-21-119,
author = {Di Pietro, D.A. and Hülsemann , F. and Matalon, P. and Mycek, P. and Ruede, U. and Ruiz, D. },
title = {Towards robust, fast solutions of elliptic equations on complex domains through hybrid high-order discretizations and non-nested multigrid methods},
year = {2021},
number = {22},
volume = {122},
pages = {6576-6595},
doi = {10.1002/nme.6803},
journal = {International Journal for Numerical Methods in Engineering},
pdf = {https://cerfacs.fr/wp-content/uploads/2021/08/ALGO_Article_Matalon_AR-PA-21-119.pdf},
url = {https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.6803}}
Reis, J., Le Maître, O.P., Congedo, P.M. and Mycek, P. (2021) Stochastic preconditioning of domain decomposition methods for elliptic equations with random coefficients, Computer Methods in Applied Mechanics and Engineering, 381, pp. 113845, doi: 10.1016/j.cma.2021.113845
[bibtex]
[url]
@ARTICLE{AR-PA-21-209,
author = {Reis, J. and Le Maître, O.P. and Congedo, P.M. and Mycek, P. },
title = {Stochastic preconditioning of domain decomposition methods for elliptic equations with random coefficients},
year = {2021},
volume = {381},
pages = {113845},
doi = {10.1016/j.cma.2021.113845},
journal = {Computer Methods in Applied Mechanics and Engineering},
url = {https://www.sciencedirect.com/science/article/abs/pii/S0045782521001821?via%3Dihub}}
Di Pietro, D.A., Antonio, D., Hülsemann, F., Matalon, P., Mycek, P. and Ruede, U. (2021) Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations - Working paper or preprint, pp. hal-03272468
[bibtex]
[url]
@ARTICLE{AR-PA-21-223,
author = {Di Pietro, D.A. and Antonio, D. and Hülsemann, F. and Matalon, P. and Mycek, P. and Ruede, U. },
title = {Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations - Working paper or preprint},
year = {2021},
pages = {hal-03272468},
url = {https://hal.archives-ouvertes.fr/hal-03272468}}
Matalon, P., Mycek, P., Ruede, U., Di Pietro, D.A., Hülsemann, F. and Ruiz, D. (2020) An h-Multigrid method for Hybrid High-Order discretizations
[bibtex]
@ARTICLE{AR-PA-20-136,
author = {Matalon, P. and Mycek, P. and Ruede, U. and Di Pietro, D.A. and Hülsemann, F. and Ruiz, D. },
title = {An h-Multigrid method for Hybrid High-Order discretizations},
year = {2020}}
Agullo, E., Altenbernd, M., Anzt, H., Bautista-Gomez, L.A., Benacchio, T., Bonaventura, L., Bungartz, H.J., Chatterjee, S., Ciorba, F.M., DeBardeleben, N., Drzisga, D., Eibl, S., Engelmann, C., Gansterer, W.N., Giraud, L., Göddeke, D., Heisig, M., Jézéquel, F., Kohl, N., Li, X.S., Lion, R., Mehl, M., Mycek, P., Obersteiner, M., Quintana-Orti, E.S., Rizzi, F., Ruede, U., Schulz, M., Fung, F., Speck, R., Stals, L., Teranishi, K., Thibault, S., Thönnes, D., Wagner, A. and Wohlmuth, B. (2020) Resiliency in Numerical Algorithm Design for Extreme Scale Simulations
[bibtex]
@ARTICLE{AR-PA-20-152,
author = {Agullo, E. and Altenbernd, M. and Anzt, H. and Bautista-Gomez, L.A. and Benacchio, T. and Bonaventura, L. and Bungartz, H.J. and Chatterjee, S. and Ciorba, F.M. and DeBardeleben, N. and Drzisga, D. and Eibl, S. and Engelmann, C. and Gansterer, W.N. and Giraud, L. and Göddeke, D. and Heisig, M. and Jézéquel, F. and Kohl, N. and Li, X.S. and Lion, R. and Mehl, M. and Mycek, P. and Obersteiner, M. and Quintana-Orti, E.S. and Rizzi, F. and Ruede, U. and Schulz, M. and Fung, F. and Speck, R. and Stals, L. and Teranishi, K. and Thibault, S. and Thönnes, D. and Wagner, A. and Wohlmuth, B. },
title = {Resiliency in Numerical Algorithm Design for Extreme Scale Simulations},
year = {2020}}
Mycek, P. and De Lozzo, M. (2019) Multilevel Monte Carlo Covariance Estimation for the Computation of Sobol' Indices, SIAM/ASA Journal on Uncertainty Quantification, 7 (4) , pp. 1323–1348, ISSN 2166-2525, doi: 10.1137/18M1216389
[bibtex]
[url] [pdf]
@ARTICLE{AR-PA-19-194,
author = {Mycek, P. and De Lozzo, M. },
title = {Multilevel Monte Carlo Covariance Estimation for the Computation of Sobol' Indices },
year = {2019},
number = {4},
volume = {7},
pages = {1323–1348},
issn = {2166-2525},
doi = {10.1137/18M1216389},
journal = {SIAM/ASA Journal on Uncertainty Quantification},
keywords = {Monte Carlo, multilevel Monte Carlo, parameter estimation, uncertainty quantification, sensitivity analysis, Sobol' indices},
pdf = {https://doi.org/10.1137/18M1216389},
url = {https://epubs.siam.org/doi/pdf/10.1137/18M1216389}}
Contreras , A.A., Mycek, P., Le Maître, O.P., Rizzi, F., Debusschere, B. and Knio, O.M. (2018) Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations. Part A: Local Karhunen--Loève Representations, SIAM Journal on Scientific Computing, 40 (4) , pp. C520–C546, ISSN 1064-8275, doi: 10.1137/17M1132185
[bibtex] [pdf]
@ARTICLE{AR-PA-18-151,
author = {Contreras , A.A. and Mycek, P. and Le Maître, O.P. and Rizzi, F. and Debusschere, B. and Knio, O.M. },
title = {Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations. Part A: Local Karhunen--Loève Representations },
year = {2018},
number = {4},
volume = {40},
pages = {C520–C546},
issn = {1064-8275},
doi = {10.1137/17M1132185},
journal = {SIAM Journal on Scientific Computing},
pdf = {https://doi.org/10.1137/17M1132185},
supplementaryMaterial = {https://epubs.siam.org/doi/pdf/10.1137/17M1132197}}
Contreras , A.A., Mycek, P., Le Maître, O.P., Rizzi, F., Debusschere, B. and Knio, O.M. (2018) 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) , pp. C547–C580, ISSN 1064-8275, doi: 10.1137/17M1132197
[bibtex] [pdf]
@ARTICLE{AR-PA-18-152,
author = {Contreras , A.A. and Mycek, P. and Le Maître, O.P. and Rizzi, F. and Debusschere, B. and Knio, O.M. },
title = {Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions },
year = {2018},
number = {4},
volume = {40},
pages = {C547–C580},
issn = {1064-8275},
doi = {10.1137/17M1132197},
journal = {SIAM Journal on Scientific Computing},
pdf = {https://doi.org/10.1137/17M1132197},
supplementaryMaterial = {https://epubs.siam.org/doi/pdf/10.1137/17M1132197}}
@CONFERENCE
Destouches, M., Mycek, P., Briant, J., Gürol, S., Weaver, A.T., Gratton, S. and Simon, E. (2022) Multilevel Monte Carlo estimation of background error covariances in ensemble variational data assimilation, EGU General Assembly, Vienna, Austria and online, EGU22-336., 5 2022, doi: 10.5194/egusphere-egu22-336
[bibtex]
[url]
@CONFERENCE{PR-PA-22-64,
author = {Destouches, M. and Mycek, P. and Briant, J. and Gürol, S. and Weaver, A.T. and Gratton, S. and Simon, E. },
title = {Multilevel Monte Carlo estimation of background error covariances in ensemble variational data assimilation},
year = {2022},
month = {5},
booktitle = {EGU General Assembly, Vienna, Austria and online, EGU22-336},
doi = {10.5194/egusphere-egu22-336},
url = {https://meetingorganizer.copernicus.org/EGU22/EGU22-336.html}}
Mycek, P. and De Lozzo, M. (2019) Multilevel Monte Carlo estimation of Sobol' indices for sensitivity analysis, Uncertainty Quantification & Optimization Conference (UQOP). UQOP 2019, Sorbonne University , Paris, France, 3 2019
[bibtex] [pdf]
@CONFERENCE{PR-PA-19-251,
author = {Mycek, P. and De Lozzo, M. },
title = {Multilevel Monte Carlo estimation of Sobol' indices for sensitivity analysis},
year = {2019},
month = {3},
booktitle = {Uncertainty Quantification & Optimization Conference (UQOP)},
organization = {UQOP 2019},
address = {Sorbonne University , Paris, France},
keywords = {Monte Carlo, Multilevel Monte Carlo, Covariance estimation, Sensitivity analysis, Sobol’ indices},
pdf = {https://uqop.sciencesconf.org/247415/document}}
Venkovic, N., Mycek, P., Giraud, L. and Le Maître, O.P. (2019) Recycling Krylov subspace strategies to solve stochastic elliptic equations, Uncertainty Quantification & Optimization Conference (UQOP). UQOP 2019, 3 2019
[bibtex] [pdf]
@CONFERENCE{PR-PA-19-252,
author = {Venkovic, N. and Mycek, P. and Giraud, L. and Le Maître, O.P. },
title = {Recycling Krylov subspace strategies to solve stochastic elliptic equations},
year = {2019},
month = {3},
booktitle = {Uncertainty Quantification & Optimization Conference (UQOP)},
organization = {UQOP 2019},
keywords = {Stochastic PDEs, Iterative solvers, Deflation, Monte Carlo, MCMC},
pdf = {https://uqop.sciencesconf.org/246800/document}}
De Lozzo, M., Mycek, P., Ricci, S., Rochoux, M., Roy, P., Goutal, N. and Ruede, U. (2017) Méthodes de Monte-Carlo multi-niveaux pour la quantification d’incertitudes et l’assimilation de données – Application à la modélisation fluviale, 49th Days of Statistics., Avignon, France, 6 2017
[bibtex]
@CONFERENCE{PR-CMGC-17-107,
author = {De Lozzo, M. and Mycek, P. and Ricci, S. and Rochoux, M. and Roy, P. and Goutal, N. and Ruede, U. },
title = {Méthodes de Monte-Carlo multi-niveaux pour la quantification d’incertitudes et l’assimilation de données – Application à la modélisation fluviale},
year = {2017},
month = {6},
booktitle = {49th Days of Statistics},
address = {Avignon, France}}
Mycek, P., De Lozzo, M., Ricci, S., Rochoux, M., Roy, P. and Goutal, N. (2017) Multilevel Monte Carlo estimation of covariances in the context of open-cahenne flow simulation CEMRACS 17/07-25/08/2017, CIRM, Marseille, 7 2017
[bibtex]
@CONFERENCE{PR-CMGC-17-300,
author = {Mycek, P. and De Lozzo, M. and Ricci, S. and Rochoux, M. and Roy, P. and Goutal, N. },
title = {Multilevel Monte Carlo estimation of covariances in the context of open-cahenne flow simulation},
year = {2017},
month = {7},
organization = {CEMRACS 17/07-25/08/2017, CIRM, Marseille}}
