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)

A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations. - Gabriel Acosta; Juan Pablo Borthagaray (SIAM J. Numer. Anal., 2017)

Numerical methods for fractional diffusion. - Andrea Bonito; Juan Pablo Borthagaray; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Comput. Vis. Sci., 2018)

Finite Element Approximation for the Fractional Eigenvalue Problem. - Juan Pablo Borthagaray; Leandro M. Del Pezzo; Sandra Martínez (J. Sci. Comput., 2018)

Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. - Gabriel Acosta; Juan Pablo Borthagaray; Oscar P. Bruno; Martin Maas 002 (Math. Comput., 2018)

Linear and Nonlinear Fractional Diffusion. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (CoRR, 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 elliptic problems. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (75 Years of Mathematics of Computation, 2020)

The $ mathbf{Q}$-tensor Model with Uniaxial Constraint. - Juan Pablo Borthagaray; Shawn W. Walker (CoRR, 2020)

Finite element approximation of fractional Neumann problems. - Francisco M. Bersetche; Juan Pablo Borthagaray (CoRR, 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)

Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Shuonan Wu; Jinchao Xu (CoRR, 2021)

Finite element algorithms for nonlocal minimal graphs. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (CoRR, 2021)

Constructive approximation on graded meshes for the integral fractional Laplacian. - Juan Pablo Borthagaray; Ricardo H. Nochetto (CoRR, 2021)

Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains. - Juan Pablo Borthagaray; Ricardo H. Nochetto (CoRR, 2021)

Local Energy Estimates for the Fractional Laplacian. - Juan Pablo Borthagaray; Dmitriy Leykekhman; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2021)

Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (CoRR, 2022)

A deep First-Order System Least Squares method for solving elliptic PDEs. - Francisco M. Bersetche; Juan Pablo Borthagaray (Comput. Math. Appl., 2023)

Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Shuonan Wu; Jinchao Xu (Math. Comput., 2023)

Monotone two-scale methods for a class of integrodifferential operators and applications. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Abner J. Salgado; Céline Torres (CoRR, 2024)

Quasi-linear Fractional-Order Operators in Lipschitz Domains. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (SIAM J. Math. Anal., 2024)

On some coupled local and nonlocal diffusion models. - Juan Pablo Borthagaray; Patrick Ciarlet Jr. (CoRR, 2025)