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ORCIDJuan Pablo Borthagaray
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2020 – today
- 2024
[j11]Juan Pablo Borthagaray
, Wenbo Li, Ricardo H. Nochetto:
Quasi-linear Fractional-Order Operators in Lipschitz Domains. SIAM J. Math. Anal. 56(3): 4006-4039 (2024)- [i13]Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado, Céline Torres:
Monotone two-scale methods for a class of integrodifferential operators and applications. CoRR abs/2405.17652 (2024) - 2023
- [j10]Francisco M. Bersetche, Juan Pablo Borthagaray:
A deep First-Order System Least Squares method for solving elliptic PDEs. Comput. Math. Appl. 129: 136-150 (2023) - [j9]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu:
Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. Math. Comput. 92(344): 2439-2473 (2023) - [i12]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Quasi-linear fractional-order operators in Lipschitz domains. CoRR abs/2305.17818 (2023) - 2022
- [i11]Francisco M. Bersetche, Juan Pablo Borthagaray:
A deep first-order system least squares method for solving elliptic PDEs. CoRR abs/2204.07227 (2022) - [i10]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation. CoRR abs/2212.14070 (2022) - 2021
- [j8]Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto:
Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. 59(4): 1918-1947 (2021) - [i9]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu:
Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. CoRR abs/2103.12891 (2021) - [i8]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Finite element algorithms for nonlocal minimal graphs. CoRR abs/2105.06079 (2021) - [i7]Juan Pablo Borthagaray, Ricardo H. Nochetto:
Constructive approximation on graded meshes for the integral fractional Laplacian. CoRR abs/2109.00451 (2021) - [i6]Juan Pablo Borthagaray, Ricardo H. Nochetto:
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains. CoRR abs/2110.02801 (2021) - 2020
- [j7]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): 837-881 (2020) - [p1]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Linear and nonlinear fractional elliptic problems. 75 Years of Mathematics of Computation 2020 - [i5]Juan Pablo Borthagaray, Shawn W. Walker:
The $\mathbf{Q}$-tensor Model with Uniaxial Constraint. CoRR abs/2001.03198 (2020) - [i4]Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto:
Local energy estimates for the fractional Laplacian. CoRR abs/2005.03786 (2020) - [i3]Francisco M. Bersetche, Juan Pablo Borthagaray:
Finite element approximation of fractional Neumann problems. CoRR abs/2008.06129 (2020)
2010 – 2019
- 2019
- [j6]Juan Pablo Borthagaray, Patrick Ciarlet Jr.:
On the Convergence in H1-Norm for the Fractional Laplacian. SIAM J. Numer. Anal. 57(4): 1723-1743 (2019) - [i2]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Linear and Nonlinear Fractional Diffusion. CoRR abs/1906.04230 (2019) - [i1]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 abs/1911.04347 (2019) - 2018
- [j5]Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
Numerical methods for fractional diffusion. Comput. Vis. Sci. 19(5-6): 19-46 (2018) - [j4]Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez:
Finite Element Approximation for the Fractional Eigenvalue Problem. J. Sci. Comput. 77(1): 308-329 (2018) - [j3]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): 1821-1857 (2018) - 2017
- [j2]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): 784-816 (2017) - [j1]Gabriel Acosta, Juan Pablo Borthagaray:
A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations. SIAM J. Numer. Anal. 55(2): 472-495 (2017)
Coauthor Index
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