A fractional Laplace equation: regularity of solutions and finite element approximations G Acosta, JP Borthagaray SIAM Journal on Numerical Analysis 55 (2), 472-495, 2017 | 288 | 2017 |
Numerical methods for fractional diffusion A Bonito, JP Borthagaray, RH Nochetto, E Otárola, AJ Salgado Computing and Visualization in Science 19 (5-6), 19-46, 2018 | 179 | 2018 |
A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian G Acosta, FM Bersetche, JP Borthagaray Computers & Mathematics with Applications 74 (4), 784-816, 2017 | 146 | 2017 |
Regularity theory and high order numerical methods for the (1d)-fractional Laplacian G Acosta, JP Borthagaray, O Bruno, M Maas Mathematics of Computation, 2017 | 65 | 2017 |
Finite element approximation for the fractional eigenvalue problem JP Borthagaray, LM Del Pezzo, S Martínez Journal of Scientific Computing 77 (1), 308-329, 2018 | 41 | 2018 |
Finite element approximations for fractional evolution problems G Acosta, FM Bersetche, JP Borthagaray Fractional Calculus and Applied Analysis 22 (3), 767-794, 2019 | 36 | 2019 |
Local energy estimates for the fractional Laplacian JP Borthagaray, D Leykekhman, RH Nochetto SIAM Journal on Numerical Analysis 59 (4), 1918-1947, 2021 | 34 | 2021 |
Finite element approximations of the nonhomogeneous fractional Dirichlet problem G Acosta, JP Borthagaray, N Heuer IMA Journal of Numerical Analysis, 2017 | 33 | 2017 |
A structure-preserving FEM for the uniaxially constrained -tensor model of nematic liquid crystals JP Borthagaray, RH Nochetto, SW Walker Numerische Mathematik 145 (4), 837-881, 2020 | 28 | 2020 |
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains JP Borthagaray, RH Nochetto Journal of Functional Analysis 284 (6), 109829, 2023 | 26 | 2023 |
Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian JP Borthagaray, RH Nochetto, AJ Salgado Mathematical Models and Methods in Applied Sciences 29 (14), 2679-2717, 2019 | 23 | 2019 |
On the Convergence in -Norm for the Fractional Laplacian JP Borthagaray, PC Jr SIAM Journal on Numerical Analysis 57 (4), 1723-1743, 2019 | 19 | 2019 |
The Q-tensor model with uniaxial constraint JP Borthagaray, SW Walker Handbook of Numerical Analysis 22, 313-382, 2021 | 13 | 2021 |
Finite element discretizations of nonlocal minimal graphs: convergence JP Borthagaray, W Li, RH Nochetto Nonlinear Analysis 189, 111566, 2019 | 12 | 2019 |
Laplaciano fraccionario: regularidad de soluciones y aproximaciones por elementos finitos JP Borthagaray PhD thesis, Universidad de Buenos Aires, Buenos Aires, Argentina, 2017 | 8* | 2017 |
Linear and nonlinear fractional elliptic problems JP Borthagaray, W Li, RH Nochetto 75 Years of Mathematics of Computation: Symposium on Celebrating 75 Years of …, 2020 | 7* | 2020 |
Constructive approximation on graded meshes for the integral fractional Laplacian JP Borthagaray, RH Nochetto Constructive Approximation 57 (2), 463-487, 2023 | 6 | 2023 |
Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains J Borthagaray, R Nochetto, S Wu, J Xu Mathematics of Computation 92 (344), 2439-2473, 2023 | 5 | 2023 |
Fractional elliptic problems on Lipschitz domains: regularity and approximation JP Borthagaray, W Li, RH Nochetto A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear …, 2023 | 5 | 2023 |
A deep first-order system least squares method for solving elliptic PDEs FM Bersetche, JP Borthagaray Computers & Mathematics with Applications 129, 136-150, 2023 | 4 | 2023 |