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Acosta, Gabriel

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Author ID: acosta.gabriel Recent zbMATH articles by "Acosta, Gabriel"
Published as: Acosta, Gabriel; Acosta, G.
External Links: MGP · ORCID
Documents Indexed: 31 Publications since 1997, including 1 Book

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 391 times in 289 Documents Cited by Year
A fractional Laplace equation: regularity of solutions and finite element approximations. Zbl 1359.65246
Acosta, Gabriel; Borthagaray, Juan Pablo
77
2017
Solutions of the divergence operator on John domains. Zbl 1142.35008
Acosta, Gabriel; Durán, Ricardo G.; Muschietti, María A.
43
2006
An optimal Poincaré inequality in \(L^1\) for convex domains. Zbl 1057.26010
Acosta, Gabriel; Durán, Ricardo G.
42
2004
A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Zbl 1384.65081
Acosta, Gabriel; Bersetche, Francisco M.; Borthagaray, Juan Pablo
38
2017
The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equations. Zbl 0948.65115
Acosta, Gabriel; Durán, Ricardo G.
36
1999
An adaptive time step procedure for a parabolic problem with blow-up. Zbl 1005.65102
Acosta, G.; Durán, R. G.; Rossi, J. D.
19
2002
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra. Zbl 1223.65086
Acosta, Gabriel; Apel, Thomas; Durán, Ricardo G.; Lombardi, Ariel L.
15
2011
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. Zbl 1409.65111
Acosta, Gabriel; Borthagaray, Juan Pablo; Bruno, Oscar; Maas, Martín
14
2018
Weighted Poincaré and Korn inequalities for Hölder \(\alpha\) domains. Zbl 1087.26009
Acosta, Gabriel; Durán, Ricardo G.; Lombardi, Ariel L.
13
2006
Lagrange and average interpolation over 3D anisotropic elements. Zbl 0991.41004
Acosta, Gabriel
12
2001
Error estimates for \({\mathcal Q}_1\) isoparametric elements satisfying a weak angle condition. Zbl 0981.65124
Acosta, Gabriel; Durán, Ricardo G.
12
2000
Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp. Zbl 1073.35073
Acosta, Gabriel; Armentano, María G.; Durán, Ricardo G.; Lombardi, Ariel L.
10
2005
Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition. Zbl 0893.35046
Acosta, Gabriel; Rossi, Julio D.
9
1997
Korn inequality and divergence operator: counterexamples and optimality of weighted estimates. Zbl 1267.26017
Acosta, Gabriel; Durán, Ricardo G.; García, Fernando López
9
2013
Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions. Zbl 0997.35025
Acosta, G.; Fernández Bonder, J.; Groisman, P.; Rossi, J. D.
7
2002
Finite element approximations for fractional evolution problems. Zbl 1426.65145
Acosta, Gabriel; Bersetche, Francisco M.; Borthagaray, Juan Pablo
5
2019
Divergence operator and related inequalities. Zbl 1394.35001
Acosta, Gabriel; Durán, Ricardo G.
5
2017
Anisotropic error estimates for an interpolant defined via moments. Zbl 1154.65007
Acosta, G.; Apel, Thomas; Durán, R. G.; Lombardi, A. L.
5
2008
Finite element approximations in a non-Lipschitz domain. Zbl 1140.65079
Acosta, Gabriel; Armentano, María G.; Durán, Ricardo G.; Lombardi, Ariel L.
4
2007
Interpolation error estimates in \(W^{1,p}\) for degenerate \(Q_1\) isoparametric elements. Zbl 1120.65116
Acosta, Gabriel; Monzón, Gabriel
4
2006
Simultaneous vs. non-simultaneous blow-up in numerical approximations of a parabolic system with non-linear boundary conditions. Zbl 1003.65097
Acosta, Gabriel; Fernández Bonder, Julián; Groisman, Pablo; Rossi, Julio Daniel
2
2002
The minimal angle condition for quadrilateral finite elements of arbitrary degree. Zbl 1357.65236
Acosta, Gabriel; Monzón, Gabriel
2
2017
Eigenvalue problems in a non-Lipschitz domain. Zbl 1282.65142
Acosta, Gabriel; Armentano, María G.
1
2014
Finite element approximations in a non-Lipschitz domain. II. Zbl 1329.65266
Acosta, Gabriel; Armentano, María G.
1
2011
Extension theorems for external cusps with minimal regularity. Zbl 1266.46022
Acosta, Gabriel; Ojea, Ignacio
1
2012
Stable manifold approximation for the heat equation with nonlinear boundary condition. Zbl 0973.35108
Acosta, Gabriel; Fernández Bonder, Julián; Rossi, Julio D.
1
2000
Condition numbers and scale free graphs. Zbl 1189.90021
Acosta, G.; Graña, M.; Pinasco, J. P.
1
2006
Korn’s inequalities for generalized external cusps. Zbl 1356.35019
Acosta, Gabriel; Ojea, Ignacio
1
2016
Improved Poincaré inequalities and solutions of the divergence in weighted norms. Zbl 1362.26015
Acosta, Gabriel; Cejas, María E.; Durán, Ricardo G.
1
2017
The quasi-periodicity of the minority game revisited. Zbl 1402.91095
Acosta, Gabriel; Caridi, Inés; Guala, Sebastián; Marenco, Javier
1
2013
Finite element approximations for fractional evolution problems. Zbl 1426.65145
Acosta, Gabriel; Bersetche, Francisco M.; Borthagaray, Juan Pablo
5
2019
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. Zbl 1409.65111
Acosta, Gabriel; Borthagaray, Juan Pablo; Bruno, Oscar; Maas, Martín
14
2018
A fractional Laplace equation: regularity of solutions and finite element approximations. Zbl 1359.65246
Acosta, Gabriel; Borthagaray, Juan Pablo
77
2017
A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Zbl 1384.65081
Acosta, Gabriel; Bersetche, Francisco M.; Borthagaray, Juan Pablo
38
2017
Divergence operator and related inequalities. Zbl 1394.35001
Acosta, Gabriel; Durán, Ricardo G.
5
2017
The minimal angle condition for quadrilateral finite elements of arbitrary degree. Zbl 1357.65236
Acosta, Gabriel; Monzón, Gabriel
2
2017
Improved Poincaré inequalities and solutions of the divergence in weighted norms. Zbl 1362.26015
Acosta, Gabriel; Cejas, María E.; Durán, Ricardo G.
1
2017
Korn’s inequalities for generalized external cusps. Zbl 1356.35019
Acosta, Gabriel; Ojea, Ignacio
1
2016
Eigenvalue problems in a non-Lipschitz domain. Zbl 1282.65142
Acosta, Gabriel; Armentano, María G.
1
2014
Korn inequality and divergence operator: counterexamples and optimality of weighted estimates. Zbl 1267.26017
Acosta, Gabriel; Durán, Ricardo G.; García, Fernando López
9
2013
The quasi-periodicity of the minority game revisited. Zbl 1402.91095
Acosta, Gabriel; Caridi, Inés; Guala, Sebastián; Marenco, Javier
1
2013
Extension theorems for external cusps with minimal regularity. Zbl 1266.46022
Acosta, Gabriel; Ojea, Ignacio
1
2012
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra. Zbl 1223.65086
Acosta, Gabriel; Apel, Thomas; Durán, Ricardo G.; Lombardi, Ariel L.
15
2011
Finite element approximations in a non-Lipschitz domain. II. Zbl 1329.65266
Acosta, Gabriel; Armentano, María G.
1
2011
Anisotropic error estimates for an interpolant defined via moments. Zbl 1154.65007
Acosta, G.; Apel, Thomas; Durán, R. G.; Lombardi, A. L.
5
2008
Finite element approximations in a non-Lipschitz domain. Zbl 1140.65079
Acosta, Gabriel; Armentano, María G.; Durán, Ricardo G.; Lombardi, Ariel L.
4
2007
Solutions of the divergence operator on John domains. Zbl 1142.35008
Acosta, Gabriel; Durán, Ricardo G.; Muschietti, María A.
43
2006
Weighted Poincaré and Korn inequalities for Hölder \(\alpha\) domains. Zbl 1087.26009
Acosta, Gabriel; Durán, Ricardo G.; Lombardi, Ariel L.
13
2006
Interpolation error estimates in \(W^{1,p}\) for degenerate \(Q_1\) isoparametric elements. Zbl 1120.65116
Acosta, Gabriel; Monzón, Gabriel
4
2006
Condition numbers and scale free graphs. Zbl 1189.90021
Acosta, G.; Graña, M.; Pinasco, J. P.
1
2006
Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp. Zbl 1073.35073
Acosta, Gabriel; Armentano, María G.; Durán, Ricardo G.; Lombardi, Ariel L.
10
2005
An optimal Poincaré inequality in \(L^1\) for convex domains. Zbl 1057.26010
Acosta, Gabriel; Durán, Ricardo G.
42
2004
An adaptive time step procedure for a parabolic problem with blow-up. Zbl 1005.65102
Acosta, G.; Durán, R. G.; Rossi, J. D.
19
2002
Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions. Zbl 0997.35025
Acosta, G.; Fernández Bonder, J.; Groisman, P.; Rossi, J. D.
7
2002
Simultaneous vs. non-simultaneous blow-up in numerical approximations of a parabolic system with non-linear boundary conditions. Zbl 1003.65097
Acosta, Gabriel; Fernández Bonder, Julián; Groisman, Pablo; Rossi, Julio Daniel
2
2002
Lagrange and average interpolation over 3D anisotropic elements. Zbl 0991.41004
Acosta, Gabriel
12
2001
Error estimates for \({\mathcal Q}_1\) isoparametric elements satisfying a weak angle condition. Zbl 0981.65124
Acosta, Gabriel; Durán, Ricardo G.
12
2000
Stable manifold approximation for the heat equation with nonlinear boundary condition. Zbl 0973.35108
Acosta, Gabriel; Fernández Bonder, Julián; Rossi, Julio D.
1
2000
The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equations. Zbl 0948.65115
Acosta, Gabriel; Durán, Ricardo G.
36
1999
Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition. Zbl 0893.35046
Acosta, Gabriel; Rossi, Julio D.
9
1997
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Cited by 467 Authors

12 Acosta, Gabriel
9 Borthagaray, Juan Pablo
9 Durán, Ricardo G.
9 Otárola, Enrique
7 Salgado, Abner J.
6 Groisman, Pablo
6 Mao, Shipeng
6 Nicaise, Serge
6 Nochetto, Ricardo Horacio
6 Rossi, Julio Daniel
6 Wang, Hong
5 Antil, Harbir
5 Chen, Shaochun
5 Choi, Jongkeun
5 Deng, Weihua
5 Fernández Bonder, Julián
5 Jiang, Renjin
5 Zhang, Yanzhi
4 Apel, Thomas
4 Dong, Hongjie
4 Duo, Siwei
4 Glusa, Christian
4 Kim, Doyoon
4 Lombardi, Ariel Luis
4 Melenk, Jens Markus
4 Monzón, Gabriel
4 Nie, Daxin
4 Repin, Sergeĭ Igorevich
4 Warma, Mahamadi
3 Bonito, Andrea
3 Costabel, Martin
3 Dauge, Monique
3 del Teso, Félix
3 Drelichman, Irene
3 Ervin, Vincent J.
3 Friedrich, Manuel
3 Gimperlein, Heiko
3 Hao, Zhaopeng
3 Karkulik, Michael
3 Kauranen, Aapo
3 Lei, Wenyu
3 López García, Fernando
3 Shi, Zhongci
3 Stocek, Jakub
3 Sun, Jing
3 Zhang, Jiwei
3 Zhang, Zhongqiang
3 Zheng, Xiangcheng
2 Ainsworth, Mark
2 Ambartsumyan, Ilona
2 Anastassiou, George Angelos
2 Armentano, María Gabriela
2 Banjai, Lehel
2 Bersetche, Francisco M.
2 Bespalov, Alexei
2 Blasco, Jordi
2 Brändle, Cristina
2 Brunner, Hermann
2 Burkovska, Olena
2 Cancès, Clément
2 Castillo, Paul E.
2 Chemetov, Nikolai V.
2 Chen, Long
2 Chua, Seng-Kee
2 Cusimano, Nicole
2 Ding, Juntang
2 Ding, Shusen
2 Gallistl, Dietmar
2 Gerardo-Giorda, Luca
2 Gillette, Andrew
2 Gómez, Sergio Alejandro
2 Gunzburger, Max D.
2 Harizanov, Stanislav
2 Izsák, Ferenc
2 Karniadakis, George Em
2 Kyza, Irene
2 Lazarov, Raytcho D.
2 Li, Mingxia
2 Li, Wenbo
2 Linke, Alexander
2 Liu, Huan
2 Margenov, Svetozar D.
2 Maros, Gábor
2 Mazzucato, Anna L.
2 Metcalfe, Stephen
2 Ming, Pingbing
2 Nguyen Huy Tuan
2 Nguyễn Văn Hoàng
2 Ojea, Ignacio
2 Pasciak, Joseph E.
2 Quirós Gracián, Fernando
2 Rand, Alexander
2 Randrianarivony, Maharavo
2 Russ, Emmanuel
2 Sheng, Changtao
2 Shi, Dongyang
2 Song, Xianfa
2 Soualem, Nadir
2 Tang, Tao
2 Viglialoro, Giuseppe
...and 367 more Authors
all top 5

Cited in 104 Serials

18 SIAM Journal on Numerical Analysis
17 Journal of Mathematical Analysis and Applications
16 Journal of Scientific Computing
14 Computers & Mathematics with Applications
14 Mathematics of Computation
13 Numerische Mathematik
9 Journal of Computational and Applied Mathematics
8 Computer Methods in Applied Mechanics and Engineering
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Applied Numerical Mathematics
6 Journal of Computational Physics
5 Mathematical Methods in the Applied Sciences
5 Journal of Differential Equations
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Proceedings of the American Mathematical Society
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 SIAM Journal on Scientific Computing
4 Archive for Rational Mechanics and Analysis
4 Applied Mathematics and Computation
4 Advances in Computational Mathematics
4 Discrete and Continuous Dynamical Systems
3 Journal of Mathematical Physics
3 SIAM Journal on Control and Optimization
3 SIAM Journal on Mathematical Analysis
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Fractional Calculus & Applied Analysis
2 Calcolo
2 Journal of Functional Analysis
2 Transactions of the American Mathematical Society
2 Science in China. Series A
2 Journal of Mathematical Imaging and Vision
2 NoDEA. Nonlinear Differential Equations and Applications
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Acta Mathematica Sinica. English Series
2 Foundations of Computational Mathematics
2 Journal of Numerical Mathematics
2 Mediterranean Journal of Mathematics
1 Acta Mechanica
1 Inverse Problems
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Computing
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematika
1 Monatshefte für Mathematik
1 Semigroup Forum
1 Chinese Annals of Mathematics. Series B
1 Stochastic Analysis and Applications
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Computational Mechanics
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Japan Journal of Industrial and Applied Mathematics
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 Journal of Elasticity
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Potential Analysis
1 Applied Mathematics. Series B (English Edition)
1 Calculus of Variations and Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 Journal of Mathematical Sciences (New York)
1 ETNA. Electronic Transactions on Numerical Analysis
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Mathematical Problems in Engineering
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Vietnam Journal of Mathematics
1 Journal of Inequalities and Applications
1 Matematicheskie Trudy
1 Journal of Mathematical Fluid Mechanics
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Central European Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Pure and Applied Mathematics
1 GEM - International Journal on Geomathematics
1 International Journal of Numerical Methods and Applications
1 S\(\vec{\text{e}}\)MA Journal
1 Analysis and Geometry in Metric Spaces
...and 4 more Serials
all top 5

Cited in 38 Fields

202 Partial differential equations (35-XX)
171 Numerical analysis (65-XX)
49 Real functions (26-XX)
37 Fluid mechanics (76-XX)
29 Functional analysis (46-XX)
24 Mechanics of deformable solids (74-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
15 Approximations and expansions (41-XX)
7 Integral equations (45-XX)
7 Operator theory (47-XX)
6 Ordinary differential equations (34-XX)
6 Probability theory and stochastic processes (60-XX)
6 Optics, electromagnetic theory (78-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Potential theory (31-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Mechanics of particles and systems (70-XX)
3 Measure and integration (28-XX)
3 Special functions (33-XX)
3 Integral transforms, operational calculus (44-XX)
3 Convex and discrete geometry (52-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 Functions of a complex variable (30-XX)
2 Difference and functional equations (39-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Computer science (68-XX)
2 Quantum theory (81-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Citations by Year