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Carlo Marcati
Carlo Marcati
Dipartimento di Matematica, Università di Pavia
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Titel
Zitiert von
Zitiert von
Jahr
Exponential convergence of deep operator networks for elliptic partial differential equations
C Marcati, C Schwab
SIAM Journal on Numerical Analysis 61 (3), 1513-1545, 2023
482023
Exponential ReLU neural network approximation rates for point and edge singularities
C Marcati, JAA Opschoor, PC Petersen, C Schwab
Foundations of Computational Mathematics 23 (3), 1043-1127, 2023
362023
High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation
PF Antonietti, C Marcati, I Mazzieri, A Quarteroni
Numerical Algorithms 71, 181-206, 2016
362016
p- and hp- virtual elements for the Stokes problem
A Chernov, C Marcati, L Mascotto
Advances in Computational Mathematics 47, 1-31, 2021
312021
Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons
C Marcati, C Schwab
SIAM Journal on Mathematical Analysis 52 (3), 2945-2968, 2020
152020
Regularity and discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials
Y Maday, C Marcati
Mathematical Models and Methods in Applied Sciences 29 (08), 1585-1617, 2019
152019
Exponential Convergence of -FEM for the Integral Fractional Laplacian in Polygons
M Faustmann, C Marcati, JM Melenk, C Schwab
SIAM Journal on Numerical Analysis 61 (6), 2601-2622, 2023
142023
Tensor rank bounds for point singularities in ℝ3
C Marcati, M Rakhuba, C Schwab
Advances in Computational Mathematics 48 (3), 18, 2022
142022
Weighted analytic regularity for the integral fractional Laplacian in polygons
M Faustmann, C Marcati, JM Melenk, C Schwab
SIAM Journal on Mathematical Analysis 54 (6), 6323-6357, 2022
142022
Analyticity and discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems
Y Maday, C Marcati
Mathematical Models and Methods in Applied Sciences, 1-45, 2023
5*2023
Exponential convergence of mixed hp-DGFEM for the incompressible Navier–Stokes equations in ℝ2
D Schötzau, C Marcati, C Schwab
IMA Journal of Numerical Analysis 41 (3), 1966-1999, 2021
52021
Analytic regularity of solutions to the Navier–Stokes equations with mixed boundary conditions in polygons
Y He, C Marcati, C Schwab
SIAM Journal on Mathematical Analysis 56 (2), 2488-2520, 2024
4*2024
Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D
B Bahr, M Faustmann, C Marcati, JM Melenk, C Schwab
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM …, 2022
42022
Low-rank tensor approximation of singularly perturbed boundary value problems in one dimension
C Marcati, M Rakhuba, JEM Ulander
Calcolo 59 (1), 2, 2022
42022
Discontinuous hp finite element methods for elliptic eigenvalue problems with singular potentials: with applications to quantum chemistry
C Marcati
Sorbonne Université, 2018
32018
Weighted analytic regularity for the integral fractional Laplacian in polyhedra
M Faustmann, C Marcati, JM Melenk, C Schwab
arXiv preprint arXiv:2307.11679, 2023
12023
Analytic regularity and hp-Discontinuous Galerkin approximation of viscous, incompressible flow in a polygon
Y He, C Schwab, C Marcati
master’s thesis, ETH Zurich, 2021
12021
Weighted analyticity of Hartree-Fock eigenfunctions
Y Maday, C Marcati
arXiv preprint arXiv:2010.06923, 2020
12020
High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation
C MARCATI
Politecnico di Milano, 2012
12012
Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes
C Marcati, C Schwab
arXiv preprint arXiv:2409.17552, 2024
2024
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