Juan Pablo Borthagaray

Publication Activity (10 Years)

Years Active: 2017-2024
Publications (10 Years): 24

Top Topics

Gpu Accelerated

Top Venues

SIAM J. Numer. Anal.

Comput. Math. Appl.

Publications

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
Quasi-linear Fractional-Order Operators in Lipschitz Domains. SIAM J. Math. Anal. 56 (3) (2024)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado, Céline Torres
Monotone two-scale methods for a class of integrodifferential operators and applications. CoRR (2024)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu
Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. Math. Comput. 92 (344) (2023)
Francisco M. Bersetche, Juan Pablo Borthagaray
A deep First-Order System Least Squares method for solving elliptic PDEs. Comput. Math. Appl. 129 (2023)
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
Quasi-linear fractional-order operators in Lipschitz domains. CoRR (2023)
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation. CoRR (2022)
Francisco M. Bersetche, Juan Pablo Borthagaray
A deep first-order system least squares method for solving elliptic PDEs. CoRR (2022)
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
Finite element algorithms for nonlocal minimal graphs. CoRR (2021)
Juan Pablo Borthagaray, Ricardo H. Nochetto
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains. CoRR (2021)
Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. 59 (4) (2021)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu
Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. CoRR (2021)
Juan Pablo Borthagaray, Ricardo H. Nochetto
Constructive approximation on graded meshes for the integral fractional Laplacian. CoRR (2021)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q}\) -tensor model of nematic liquid crystals. Numerische Mathematik 145 (4) (2020)
Francisco M. Bersetche, Juan Pablo Borthagaray
Finite element approximation of fractional Neumann problems. CoRR (2020)
Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
Local energy estimates for the fractional Laplacian. CoRR (2020)
Juan Pablo Borthagaray, Shawn W. Walker
The $\mathbf{Q}$-tensor Model with Uniaxial Constraint. CoRR (2020)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals. CoRR (2019)
Juan Pablo Borthagaray, Patrick Ciarlet Jr.
-Norm for the Fractional Laplacian. SIAM J. Numer. Anal. 57 (4) (2019)
Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
Linear and Nonlinear Fractional Diffusion. CoRR (2019)
Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez
Finite Element Approximation for the Fractional Eigenvalue Problem. J. Sci. Comput. 77 (1) (2018)
Gabriel Acosta, Juan Pablo Borthagaray, Oscar P. Bruno, Martin Maas
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. Math. Comput. 87 (312) (2018)
Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
Numerical methods for fractional diffusion. Comput. Vis. Sci. 19 (5-6) (2018)
Gabriel Acosta, Francisco M. Bersetche, Juan Pablo Borthagaray
A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Comput. Math. Appl. 74 (4) (2017)
Gabriel Acosta, Juan Pablo Borthagaray
A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations. SIAM J. Numer. Anal. 55 (2) (2017)