Juan Pablo Borthagaray

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All published works

Action	Title	Year	Authors
+ PDF Chat	Quasi-linear Fractional-Order Operators in Lipschitz Domains	2024	Juan Pablo Borthagaray W. Li Ricardo H. Nochetto
+ PDF Chat	Monotone two-scale methods for a class of integrodifferential operators and applications	2024	Juan Pablo Borthagaray Ricardo H. Nochetto Abner J. Salgado Céline Torres
+ PDF Chat	Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains	2023	Juan Pablo Borthagaray Ricardo H. Nochetto Shuonan Wu Jinchao Xu
+ PDF Chat	Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian	2023	Juan Pablo Borthagaray Ricardo H. Nochetto
+	Quasi-linear fractional-order operators in Lipschitz domains	2023	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+ PDF Chat	Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation	2023	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+ PDF Chat	Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains	2022	Juan Pablo Borthagaray Ricardo H. Nochetto
+ PDF Chat	A deep First-Order System Least Squares method for solving elliptic PDEs	2022	Francisco M. Bersetche Juan Pablo Borthagaray
+	A deep first-order system least squares method for solving elliptic PDEs	2022	Francisco M. Bersetche Juan Pablo Borthagaray
+	Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation	2022	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+ PDF Chat	Finite element approximation of fractional Neumann problems	2021	Francisco M. Bersetche Juan Pablo Borthagaray
+	Finite element algorithms for nonlocal minimal graphs	2021	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	Robust BPX preconditioner for the integral fractional Laplacian on bounded domains.	2021	Juan Pablo Borthagaray Ricardo H. Nochetto Shuonan Wu Jinchao Xu
+ PDF Chat	Local Energy Estimates for the Fractional Laplacian	2021	Juan Pablo Borthagaray Dmitriy Leykekhman Ricardo H. Nochetto
+	Finite element algorithms for nonlocal minimal graphs	2021	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	Constructive approximation on graded meshes for the integral fractional Laplacian	2021	Juan Pablo Borthagaray Ricardo H. Nochetto
+	Finite element algorithms for nonlocal minimal graphs	2021	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains	2021	Juan Pablo Borthagaray Ricardo H. Nochetto
+	Finite element approximation of fractional Neumann problems	2020	Francisco M. Bersetche Juan Pablo Borthagaray
+ PDF Chat	A structure-preserving FEM for the uniaxially constrained $$\mathbf{Q}$$-tensor model of nematic liquid crystals	2020	Juan Pablo Borthagaray Ricardo H. Nochetto Shawn W. Walker
+	Local energy estimates for the fractional Laplacian	2020	Juan Pablo Borthagaray Dmitriy Leykekhman Ricardo H. Nochetto
+	The $\mathbf{Q}$-tensor Model with Uniaxial Constraint	2020	Juan Pablo Borthagaray Shawn W. Walker
+ PDF Chat	Linear and nonlinear fractional elliptic problems	2020	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	Finite element approximation of fractional Neumann problems	2020	Francisco M. Bersetche Juan Pablo Borthagaray
+	Local energy estimates for the fractional Laplacian	2020	Juan Pablo Borthagaray Dmitriy Leykekhman Ricardo H. Nochetto
+	A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals.	2019	Juan Pablo Borthagaray Ricardo H. Nochetto Shawn W. Walker
+ PDF Chat	Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian	2019	Juan Pablo Borthagaray Ricardo H. Nochetto Abner J. Salgado
+ PDF Chat	Finite element discretizations of nonlocal minimal graphs: Convergence	2019	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	Linear and Nonlinear Fractional Diffusion	2019	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	Linear and Nonlinear Fractional Elliptic Problems	2019	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+ PDF Chat	Finite Element Approximations for Fractional Evolution Problems	2019	Gabriel Acosta Francisco M. Bersetche Juan Pablo Borthagaray
+	Finite element discretizations of nonlocal minimal graphs: convergence	2019	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+ PDF Chat	On the Convergence in $H^1$-Norm for the Fractional Laplacian	2019	Juan Pablo Borthagaray Patrick Ciarlet
+	Finite element discretizations of nonlocal minimal graphs: convergence	2019	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals	2019	Juan Pablo Borthagaray Ricardo H. Nochetto Shawn W. Walker
+	Linear and Nonlinear Fractional Elliptic Problems	2019	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto
+	On the convergence in $H^1$-norm for the fractional Laplacian	2018	Juan Pablo Borthagaray Patrick Ciarlet
+	Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian	2018	Juan Pablo Borthagaray Ricardo H. Nochetto Abner J. Salgado
+ PDF Chat	Finite Element Approximation for the Fractional Eigenvalue Problem	2018	Juan Pablo Borthagaray Leandro M. Del Pezzo Sandra Martı́nez
+ PDF Chat	Finite element approximations of the nonhomogeneous fractional Dirichlet problem	2018	Gabriel Acosta Juan Pablo Borthagaray Norbert Heuer
+ PDF Chat	Numerical methods for fractional diffusion	2018	Andrea Bonito Juan Pablo Borthagaray Ricardo H. Nochetto Enrique Otárola Abner J. Salgado
+	On the convergence in $H^1$-norm for the fractional Laplacian	2018	Juan Pablo Borthagaray Patrick Ciarlet
+	Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian	2018	Juan Pablo Borthagaray Ricardo H. Nochetto Abner J. Salgado
+	A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian	2017	Gabriel Acosta Francisco M. Bersetche Juan Pablo Borthagaray
+	Finite element approximations for fractional evolution problems	2017	Gabriel Acosta Francisco M. Bersetche Juan Pablo Borthagaray
+	Regularity theory and high order numerical methods for the (1D)-fractional Laplacian	2017	Gabriel Acosta Juan Pablo Borthagaray Oscar P. Bruno Martín Maas
+ PDF Chat	A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations	2017	Gabriel Acosta Juan Pablo Borthagaray
+	Finite element approximations for fractional evolution problems	2017	Gabriel Acosta Francisco M. Bersetche Juan Pablo Borthagaray
+ PDF Chat	A mass transportation approach for Sobolev inequalities in variable exponent spaces	2016	Juan Pablo Borthagaray Julian Fernández Bonder Analía Silva
+	Finite element approximation for the fractional eigenvalue problem	2016	Juan Pablo Borthagaray Leandro M. Del Pezzo Sandra Martı́nez
+	Secretary Problem with quality-based payoff	2016	Pablo Blanc Juan Pablo Borthagaray Daniel Kohen Martı́n Mereb
+	Finite element approximation for the fractional eigenvalue problem	2016	Juan Pablo Borthagaray Leandro M. Del Pezzo Sandra Martı́nez
+	A mass transportation approach for Sobolev inequalities in variable exponent spaces	2015	Juan Pablo Borthagaray Julian Fernández Bonder Analía Silva
+	A mass transportation approach for Sobolev inequalities in variable exponent spaces	2015	Juan Pablo Borthagaray Julian Fernández Bonder Analía Silva

Common Coauthors

Coauthor	Papers Together
Ricardo H. Nochetto	31
Wenbo Li	10
Francisco M. Bersetche	9
Gabriel Acosta	7
Abner J. Salgado	5
Shawn W. Walker	4
Analía Silva	3
Dmitriy Leykekhman	3
Patrick Ciarlet	3
Leandro M. Del Pezzo	3
Julian Fernández Bonder	3
Sandra Martı́nez	3
Wenbo Li	2
Jinchao Xu	2
Shuonan Wu	2
Andrea Bonito	1
Pablo Blanc	1
W. Li	1
Norbert Heuer	1
Wenbo Li	1
Martín Maas	1
Martı́n Mereb	1
Daniel Kohen	1
Céline Torres	1
Oscar P. Bruno	1
Enrique Otárola	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations	2017	Gabriel Acosta Juan Pablo Borthagaray	20
+	Fractional Laplacians on domains, a development of Hörmander's theory of μ-transmission pseudodifferential operators	2014	Gerd Grubb	20
+	A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian	2017	Gabriel Acosta Francisco M. Bersetche Juan Pablo Borthagaray	19
+	The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary	2013	Xavier Ros‐Oton Joaquim Serra	18
+ PDF Chat	Numerical methods for fractional diffusion	2018	Andrea Bonito Juan Pablo Borthagaray Ricardo H. Nochetto Enrique Otárola Abner J. Salgado	16
+ PDF Chat	Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian	2019	Juan Pablo Borthagaray Ricardo H. Nochetto Abner J. Salgado	15
+ PDF Chat	Aspects of an adaptive finite element method for the fractional Laplacian: A priori and a posteriori error estimates, efficient implementation and multigrid solver	2017	Mark Ainsworth Christian Glusa	12
+ PDF Chat	Numerical approximation of the integral fractional Laplacian	2019	Andrea Bonito Wenyu Lei Joseph E. Pasciak	11
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	10
+	Regularity theory and high order numerical methods for the (1D)-fractional Laplacian	2017	Gabriel Acosta Juan Pablo Borthagaray Oscar P. Bruno Martín Maas	9
+ PDF Chat	Interior regularity of solutions of non-local equations in Sobolev and Nikol’skii spaces	2016	Matteo Cozzi	9
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci	9
+ PDF Chat	Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach	2014	Yanghong Huang Adam M. Oberman	8
+	The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator	2013	Marta D’Elia Max Gunzburger	8
+ PDF Chat	Application of a fractional advection‐dispersion equation	2000	David A. Benson Stephen W. Wheatcraft Mark M. Meerschaert	8
+	Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains	2018	Mark Ainsworth Christian Glusa	8
+	From the long jump random walk to the fractional Laplacian	2009	Enrico Valdinoci	8
+ PDF Chat	A posteriori error analysis for a class of integral equations and variational inequalities	2010	Ricardo H. Nochetto Tobias von Petersdorff Chen-Song Zhang	8
+	Direct and inverse error estimates for finite elements with mesh refinements	1979	Ivo Babuška R. Bruce Kellogg Juhani Pitkäranta	8
+ PDF Chat	Another look at Sobolev spaces	2001	Jean Bourgain Haı̈m Brezis Petru Mironescu	8
+ PDF Chat	Finite Element Approximation for the Fractional Eigenvalue Problem	2018	Juan Pablo Borthagaray Leandro M. Del Pezzo Sandra Martı́nez	7
+ PDF Chat	Fractional Laplace Operator and Meijer G-function	2016	Bartłomiej Dyda Alexey Kuznetsov Mateusz Kwaśnicki	7
+ PDF Chat	Space–time adaptive finite elements for nonlocal parabolic variational inequalities	2019	Heiko Gimperlein Jakub Stocek	7
+	On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces	2002	Vladimir Maz’ya Tatyana Shaposhnikova	7
+ PDF Chat	The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics	2004	Ralf Metzler J. Klafter	7
+ PDF Chat	On the Convergence in $H^1$-Norm for the Fractional Laplacian	2019	Juan Pablo Borthagaray Patrick Ciarlet	6
+ PDF Chat	Regularity analyses and approximation of nonlocal variational equality and inequality problems	2019	Olena Burkovska Max Gunzburger	6
+ PDF Chat	$\Gamma$-convergence for nonlocal phase transitions	2012	Ovidiu Savin Enrico Valdinoci	6
+ PDF Chat	Finite element approximations of the nonhomogeneous fractional Dirichlet problem	2018	Gabriel Acosta Juan Pablo Borthagaray Norbert Heuer	6
+ PDF Chat	Regularity and Bernstein-type results for nonlocal minimal surfaces	2015	Alessio Figalli Enrico Valdinoci	6
+ PDF Chat	Nonlocal minimal surfaces	2010	Luis Caffarelli Jean -Michel Roquejoffre Ovidiu Savin	6
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	6
+	Boundary behavior of nonlocal minimal surfaces	2016	Serena Dipierro Ovidiu Savin Enrico Valdinoci	6
+ PDF Chat	Graph properties for nonlocal minimal surfaces	2016	Serena Dipierro Ovidiu Savin Enrico Valdinoci	6
+	Regularity Results for Elliptic Equations in Lipschitz Domains	1998	Giuseppe Savaré	6
+ PDF Chat	A gradient estimate for nonlocal minimal graphs	2019	Xavier Cabré Matteo Cozzi	6
+ PDF Chat	A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis	2014	Ricardo H. Nochetto Enrique Otárola Abner J. Salgado	5
+	An Introduction to Sobolev Spaces and Interpolation Spaces	2007	Luc Tartar	5
+	Non-Homogeneous Boundary Value Problems and Applications	1973	J. L. Lions Enrico Magenes	5
+ PDF Chat	External optimal control of nonlocal PDEs	2019	Harbir Antil Ratna Khatri Mahamadi Warma	5
+ PDF Chat	Regularity of the obstacle problem for a fractional power of the laplace operator	2006	Luís Silvestre	5
+ PDF Chat	Nonlocal problems with Neumann boundary conditions	2017	Serena Dipierro Xavier Ros‐Oton Enrico Valdinoci	5
+ PDF Chat	Eigenvalues of the fractional Laplace operator in the unit ball	2017	Bartłomiej Dyda Alexey Kuznetsov Mateusz Kwaśnicki	5
+ PDF Chat	A fractional order Hardy inequality	2004	Bartłomiej Dyda	5
+ PDF Chat	Nonlocal Minimal Graphs in the Plane are Generically Sticky	2020	Serena Dipierro Ovidiu Savin Enrico Valdinoci	5
+ PDF Chat	Adaptive finite element method for fractional differential equations using hierarchical matrices	2017	Xuan Zhao Xiaozhe Hu Wei Cai George Em Karniadakis	5
+ PDF Chat	Spectral results for mixed problems and fractional elliptic operators	2014	Gerd Grubb	5
+ PDF Chat	On the spectrum of two different fractional operators	2014	Raffaella Servadei Enrico Valdinoci	5
+ PDF Chat	Exponential convergence of<i>hp</i>quadrature for integral operators with Gevrey kernels	2010	Alexey Chernov Tobias von Petersdorff Christoph Schwab	4
+ PDF Chat	Finite element discretizations of nonlocal minimal graphs: Convergence	2019	Juan Pablo Borthagaray Wenbo Li Ricardo H. Nochetto	4