Juan Pablo Borthagaray

According to our database, Juan Pablo Borthagaray authored at least 20 papers between 2017 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2023

Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains.

Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu

Math. Comput., June, 2023

Quasi-linear fractional-order operators in Lipschitz domains.

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

CoRR, 2023

A deep First-Order System Least Squares method for solving elliptic PDEs.

Francisco M. Bersetche, Juan Pablo Borthagaray

Comput. Math. Appl., 2023

2022

Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation.

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

CoRR, 2022

2021

Local Energy Estimates for the Fractional Laplacian.

Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto

SIAM J. Numer. Anal., 2021

Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains.

Juan Pablo Borthagaray, Ricardo H. Nochetto

CoRR, 2021

Constructive approximation on graded meshes for the integral fractional Laplacian.

Juan Pablo Borthagaray, Ricardo H. Nochetto

CoRR, 2021

Finite element algorithms for nonlocal minimal graphs.

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

CoRR, 2021

Robust BPX preconditioner for the integral fractional Laplacian on bounded domains.

Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu

CoRR, 2021

2020

A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q}\) -tensor model of nematic liquid crystals.

Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker

Numerische Mathematik, 2020

Finite element approximation of fractional Neumann problems.

Francisco M. Bersetche, Juan Pablo Borthagaray

CoRR, 2020

The $\mathbf{Q}$-tensor Model with Uniaxial Constraint.

Juan Pablo Borthagaray, Shawn W. Walker

CoRR, 2020

Linear and nonlinear fractional elliptic problems.

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

Proceedings of the 75 Years of Mathematics of Computation, 2020

2019

On the Convergence in H¹-Norm for the Fractional Laplacian.

Juan Pablo Borthagaray, Patrick Ciarlet Jr.

SIAM J. Numer. Anal., 2019

Linear and Nonlinear Fractional Diffusion.

Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

CoRR, 2019

2018

Regularity theory and high order numerical methods for the (1D)-fractional Laplacian.

Gabriel Acosta, Juan Pablo Borthagaray, Oscar P. Bruno, Martin Maas

Math. Comput., 2018

Finite Element Approximation for the Fractional Eigenvalue Problem.

Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez

J. Sci. Comput., 2018

Numerical methods for fractional diffusion.

Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado

Comput. Vis. Sci., 2018

2017

A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations.

Gabriel Acosta, Juan Pablo Borthagaray

SIAM J. Numer. Anal., 2017

A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian.

Gabriel Acosta, Francisco M. Bersetche, Juan Pablo Borthagaray

Comput. Math. Appl., 2017