Juan Pablo Borthagaray
Juan Pablo Borthagaray
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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
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
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
Regularity theory and high order numerical methods for the (1d)-fractional Laplacian
G Acosta, JP Borthagaray, O Bruno, M Maas
Mathematics of Computation, 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
Finite element approximations for fractional evolution problems
G Acosta, FM Bersetche, JP Borthagaray
Fractional Calculus and Applied Analysis 22 (3), 767-794, 2019
Local energy estimates for the fractional Laplacian
JP Borthagaray, D Leykekhman, RH Nochetto
SIAM Journal on Numerical Analysis 59 (4), 1918-1947, 2021
Finite element approximations of the nonhomogeneous fractional Dirichlet problem
G Acosta, JP Borthagaray, N Heuer
IMA Journal of Numerical Analysis, 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
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains
JP Borthagaray, RH Nochetto
Journal of Functional Analysis 284 (6), 109829, 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
On the Convergence in -Norm for the Fractional Laplacian
JP Borthagaray, PC Jr
SIAM Journal on Numerical Analysis 57 (4), 1723-1743, 2019
The Q-tensor model with uniaxial constraint
JP Borthagaray, SW Walker
Handbook of Numerical Analysis 22, 313-382, 2021
Finite element discretizations of nonlocal minimal graphs: convergence
JP Borthagaray, W Li, RH Nochetto
Nonlinear Analysis 189, 111566, 2019
Laplaciano fraccionario: regularidad de soluciones y aproximaciones por elementos finitos
JP Borthagaray
PhD thesis, Universidad de Buenos Aires, Buenos Aires, Argentina, 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
Constructive approximation on graded meshes for the integral fractional Laplacian
JP Borthagaray, RH Nochetto
Constructive Approximation 57 (2), 463-487, 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
Fractional elliptic problems on Lipschitz domains: regularity and approximation
JP Borthagaray, W Li, RH Nochetto
A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear …, 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
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