Juan Pablo Borthagaray

28 papers Journal 27

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A deep first-order system least squares method for the obstacle problem. CoRR Gabriel Acosta, Eugenia Belén, Francisco M. Bersetche, Juan Pablo Borthagaray
2025	J	`jnl`	A mixed formulation for the fractional Poisson problem. CoRR Juan Pablo Borthagaray, Nahuel de León
2025	J	`jnl`	On some coupled local and nonlocal diffusion models. CoRR Juan Pablo Borthagaray, Patrick Ciarlet Jr.
2024	J	`jnl`	Monotone two-scale methods for a class of integrodifferential operators and applications. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado, Céline Torres
2024	J	`jnl`	Quasi-linear Fractional-Order Operators in Lipschitz Domains. SIAM J. Math. Anal. Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2023	J	`jnl`	A deep First-Order System Least Squares method for solving elliptic PDEs. Comput. Math. Appl. Francisco M. Bersetche, Juan Pablo Borthagaray
2023	J	`jnl`	Quasi-linear fractional-order operators in Lipschitz domains. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2023	J	`jnl`	Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. Math. Comput. Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu
2022	J	`jnl`	A deep first-order system least squares method for solving elliptic PDEs. CoRR Francisco M. Bersetche, Juan Pablo Borthagaray
2022	J	`jnl`	Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2021	J	`jnl`	Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto
2021	J	`jnl`	Constructive approximation on graded meshes for the integral fractional Laplacian. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto
2021	J	`jnl`	Finite element algorithms for nonlocal minimal graphs. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2021	J	`jnl`	Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
2021	J	`jnl`	Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu
2020	J	`jnl`	A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$ -tensor model of nematic liquid crystals. Numerische Mathematik Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
2020	J	`jnl`	Finite element approximation of fractional Neumann problems. CoRR Francisco M. Bersetche, Juan Pablo Borthagaray
2020	—	`ch.`	Linear and nonlinear fractional elliptic problems. 75 Years of Mathematics of Computation Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2020	J	`jnl`	Local energy estimates for the fractional Laplacian. CoRR Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
2020	J	`jnl`	The $\mathbf{Q}$-tensor Model with Uniaxial Constraint. CoRR Juan Pablo Borthagaray, Shawn W. Walker
2019	J	`jnl`	A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
2019	J	`jnl`	Linear and Nonlinear Fractional Diffusion. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2019	J	`jnl`	On the Convergence in H SIAM J. Numer. Anal. Juan Pablo Borthagaray, Patrick Ciarlet Jr.
2018	J	`jnl`	Finite Element Approximation for the Fractional Eigenvalue Problem. J. Sci. Comput. Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez
2018	J	`jnl`	Numerical methods for fractional diffusion. Comput. Vis. Sci. Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
2018	J	`jnl`	Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. Math. Comput. Gabriel Acosta, Juan Pablo Borthagaray, Oscar P. Bruno, Martin Maas
2017	J	`jnl`	A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations. SIAM J. Numer. Anal. Gabriel Acosta, Juan Pablo Borthagaray
2017	J	`jnl`	A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Comput. Math. Appl. Gabriel Acosta, Francisco M. Bersetche, Juan Pablo Borthagaray