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2020 – today
- 2024
[j8]Yanchen He
, Carlo Marcati, Christoph Schwab:
Analytic Regularity of Solutions to the Navier-Stokes Equations with Mixed Boundary Conditions in Polygons. SIAM J. Math. Anal. 56(2): 2488-2520 (2024)- 2023
- [j7]Carlo Marcati, Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab:
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities. Found. Comput. Math. 23(3): 1043-1127 (2023) - [j6]Carlo Marcati, Christoph Schwab:
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 61(3): 1513-1545 (2023) - [j5]Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons. SIAM J. Numer. Anal. 61(6): 2601-2622 (2023) - [i11]Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Weighted analytic regularity for the integral fractional Laplacian in polyhedra. CoRR abs/2307.11679 (2023) - 2022
- [j4]Carlo Marcati, Maksim Rakhuba, Christoph Schwab:
Tensor rank bounds for point singularities in ℝ3. Adv. Comput. Math. 48(3): 18 (2022) - [i10]Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D. CoRR abs/2204.04113 (2022) - [i9]Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons. CoRR abs/2209.11468 (2022) - 2021
- [j3]Alexey Chernov, Carlo Marcati, Lorenzo Mascotto:
p- and hp- virtual elements for the Stokes problem. Adv. Comput. Math. 47(2): 24 (2021) - [i8]Carlo Marcati, Christoph Schwab:
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations. CoRR abs/2112.08125 (2021) - [i7]Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Weighted analytic regularity for the integral fractional Laplacian in polygons. CoRR abs/2112.08151 (2021) - 2020
- [j2]Carlo Marcati, Christoph Schwab:
Analytic Regularity for the Incompressible Navier-Stokes Equations in Polygons. SIAM J. Math. Anal. 52(3): 2945-2968 (2020) - [i6]Carlo Marcati, Christoph Schwab:
Analytic regularity for the incompressible Navier-Stokes equations in polygons. CoRR abs/2004.11264 (2020) - [i5]Alexey Chernov, Carlo Marcati, Lorenzo Mascotto:
p- and hp- virtual elements for the Stokes problem. CoRR abs/2006.10644 (2020) - [i4]Carlo Marcati, Maxim V. Rakhuba, Johan E. M. Ulander:
Low rank tensor approximation of singularly perturbed partial differential equations in one dimension. CoRR abs/2010.06919 (2020) - [i3]Carlo Marcati, Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab:
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities. CoRR abs/2010.12217 (2020)
2010 – 2019
- 2019
- [i2]Yvon Maday, Carlo Marcati:
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. CoRR abs/1912.07483 (2019) - [i1]Carlo Marcati, Maxim V. Rakhuba, Christoph Schwab:
Tensor Rank bounds for Point Singularities in R3. CoRR abs/1912.07996 (2019) - 2016
- [j1]Paola F. Antonietti, Carlo Marcati, Ilario Mazzieri, Alfio Quarteroni:
High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Numer. Algorithms 71(1): 181-206 (2016)
Coauthor Index
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