A posteriori error estimation for the stochastic collocation finite element method D Guignard, F Nobile SIAM Journal on Numerical Analysis 56 (5), 3121-3143, 2018 | 35 | 2018 |

A posteriori error estimation for elliptic partial differential equations with small uncertainties D Guignard, F Nobile, M Picasso Numerical Methods for Partial Differential Equations 32 (1), 175-212, 2016 | 23 | 2016 |

Nonlinear methods for model reduction A Bonito, A Cohen, R DeVore, D Guignard, P Jantsch, G Petrova ESAIM: Mathematical Modelling and Numerical Analysis 55 (2), 507-531, 2021 | 20 | 2021 |

Numerical analysis of the LDG method for large deformations of prestrained plates A Bonito, D Guignard, RH Nochetto, S Yang IMA Journal of Numerical Analysis 43 (2), 627-662, 2023 | 16 | 2023 |

LDG approximation of large deformations of prestrained plates A Bonito, D Guignard, RH Nochetto, S Yang Journal of Computational Physics 448, 110719, 2022 | 15 | 2022 |

A posteriori error estimation for the steady Navier–Stokes equations in random domains D Guignard, F Nobile, M Picasso Computer Methods in Applied Mechanics and Engineering 313, 483-511, 2017 | 15 | 2017 |

Partial differential equations with random input data: A perturbation approach D Guignard Archives of Computational Methods in Engineering 26 (5), 1313-1377, 2019 | 13 | 2019 |

Polynomial approximation of anisotropic analytic functions of several variables A Bonito, R DeVore, D Guignard, P Jantsch, G Petrova Constructive Approximation 53 (2), 319-348, 2021 | 12 | 2021 |

Reduced basis approximations of the solutions to spectral fractional diffusion problems A Bonito, D Guignard, AR Zhang Journal of Numerical Mathematics 28 (3), 147-160, 2020 | 10 | 2020 |

A posteriori error estimation for partial differential equations with random input data DS Guignard EPFL, 2016 | 4 | 2016 |

Numerical approximation of Gaussian random fields on closed surfaces A Bonito, D Guignard, W Lei Computational Methods in Applied Mathematics, 2024 | 3 | 2024 |

Numerical approximations of thin structure deformations A Bonito, D Guignard, A Morvant Comptes Rendus. Mécanique 351 (S1), 1-37, 2023 | 3 | 2023 |

Nonlinear approximation of high-dimensional anisotropic analytic functions D Guignard, P Jantsch Journal of Approximation Theory 300, 106040, 2024 | 1 | 2024 |

Finite element methods for the stretching and bending of thin structures with folding A Bonito, D Guignard, A Morvant arXiv preprint arXiv:2311.04810, 2023 | 1 | 2023 |

Finite element approximation of steady flows of colloidal solutions A Bonito, V Girault, D Guignard, KR Rajagopal, E Süli ESAIM: Mathematical Modelling and Numerical Analysis 55 (5), 1963-2011, 2021 | 1 | 2021 |

Refinement indicators and adaptive schemes for goal-oriented error estimation S Prudhomme, K Kergrene, D Guignard, D Pardo, V Darrigrand International Conference on Adaptive Modeling and Simulation ADMOS, 2017 | 1 | 2017 |

Approximating partial differential equations without boundary conditions A Bonito, D Guignard arXiv preprint arXiv:2406.03634, 2024 | | 2024 |

Tree-Based Nonlinear Reduced Modeling D Guignard, O Mula arXiv preprint arXiv:2404.12262, 2024 | | 2024 |

MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element method DS Guignard, F Nobile MATHICSE, 2017 | | 2017 |

MATHICSE Technical Report: A posteriori error estimation for the steady Navier-Stokes equations in random domains DS Guignard, F Nobile, M Picasso MATHICSE, 2016 | | 2016 |