Juan Pablo Borthagaray
Juan Pablo Borthagaray
Universidad de la República
Verified email at unorte.edu.uy - Homepage
Title
Cited by
Cited by
Year
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
1862017
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
1042018
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
982017
Regularity theory and high order numerical methods for the (1d)-fractional Laplacian
G Acosta, JP Borthagaray, O Bruno, M Maas
Mathematics of Computation, 2017
47*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
302018
Finite element approximations for fractional evolution problems
G Acosta, FM Bersetche, JP Borthagaray
Fractional Calculus and Applied Analysis 22 (3), 767-794, 2019
242019
Finite element approximations of the nonhomogeneous fractional Dirichlet problem
G Acosta, JP Borthagaray, N Heuer
IMA Journal of Numerical Analysis, 2017
232017
On the Convergence in -Norm for the Fractional Laplacian
JP Borthagaray, PC Jr
SIAM Journal on Numerical Analysis 57 (4), 1723-1743, 2019
162019
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
132019
A structure-preserving FEM for the uniaxially constrained Q -tensor model of nematic liquid crystals
JP Borthagaray, RH Nochetto, SW Walker
Numerische Mathematik 145 (4), 837-881, 2020
102020
Finite element discretizations of nonlocal minimal graphs: Convergence
JP Borthagaray, W Li, RH Nochetto
Nonlinear Analysis 189, 111566, 2019
92019
Local energy estimates for the fractional Laplacian
JP Borthagaray, D Leykekhman, RH Nochetto
SIAM Journal on Numerical Analysis 59 (4), 1918-1947, 2021
72021
Laplaciano fraccionario: regularidad de soluciones y aproximaciones por elementos finitos
JP Borthagaray
PhD thesis, Universidad de Buenos Aires, Buenos Aires, Argentina, 2017
72017
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
3*2020
Nonlocal models for interface problems between dielectrics and metamaterials
JP Borthagaray, P Ciarlet
2017 11th International Congress on Engineered Materials Platforms for Novel …, 2017
32017
The Q-tensor model with uniaxial constraint
JP Borthagaray, SW Walker
Handbook of Numerical Analysis 22, 313-382, 2021
22021
Robust BPX Preconditioner for Fractional Laplacians on Bounded Lipschitz Domains
JP Borthagaray, RH Nochetto, S Wu, J Xu
arXiv preprint arXiv:2103.12891, 2021
12021
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains
JP Borthagaray, RH Nochetto
arXiv preprint arXiv:2110.02801, 2021
2021
Constructive approximation on graded meshes for the integral fractional Laplacian
JP Borthagaray, RH Nochetto
arXiv preprint arXiv:2109.00451, 2021
2021
Finite element algorithms for nonlocal minimal graphs
JP Borthagaray, W Li, RH Nochetto
arXiv preprint arXiv:2105.06079, 2021
2021
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