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## Acosta, Gabriel

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 Author ID: acosta.gabriel Published as: Acosta, Gabriel; Acosta, G. External Links: MGP · ORCID
 Documents Indexed: 31 Publications since 1997, including 1 Book
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#### Co-Authors

 1 single-authored 13 Durán, Ricardo G. 5 Borthagaray, Juan Pablo 5 Lombardi, Ariel Luis 5 Rossi, Julio Daniel 4 Armentano, María Gabriela 2 Apel, Thomas 2 Bersetche, Francisco M. 2 Fernández Bonder, Julián 2 Groisman, Pablo 2 Monzón, Gabriel 2 Ojea, Ignacio 1 Bruno, Oscar P. 1 Caridi, Ines 1 Cejas, María Eugenia 1 Guala, Sebastian D. 1 Heuer, Norbert 1 López García, Fernando 1 Maas, Martin 1 Marenco, Javier L. 1 Muschietti, María Amelia 1 Pinasco, Juan Pablo
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#### Serials

 4 SIAM Journal on Numerical Analysis 3 Mathematics of Computation 2 IMA Journal of Numerical Analysis 2 Mathematical Methods in the Applied Sciences 2 Computing 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Journal of Dynamics and Differential Equations 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Fractional Calculus & Applied Analysis 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 SpringerBriefs in Mathematics
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#### Fields

 19 Partial differential equations (35-XX) 18 Numerical analysis (65-XX) 6 Real functions (26-XX) 6 Functional analysis (46-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### 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
2017
Solutions of the divergence operator on John domains. Zbl 1142.35008
Acosta, Gabriel; Durán, Ricardo G.; Muschietti, María A.
2006
An optimal Poincaré inequality in $$L^1$$ for convex domains. Zbl 1057.26010
Acosta, Gabriel; Durán, Ricardo G.
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
2017
The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equations. Zbl 0948.65115
Acosta, Gabriel; Durán, Ricardo G.
1999
An adaptive time step procedure for a parabolic problem with blow-up. Zbl 1005.65102
Acosta, G.; Durán, R. G.; Rossi, J. D.
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.
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
2018
Weighted Poincaré and Korn inequalities for Hölder $$\alpha$$ domains. Zbl 1087.26009
Acosta, Gabriel; Durán, Ricardo G.; Lombardi, Ariel L.
2006
Lagrange and average interpolation over 3D anisotropic elements. Zbl 0991.41004
Acosta, Gabriel
2001
Error estimates for $${\mathcal Q}_1$$ isoparametric elements satisfying a weak angle condition. Zbl 0981.65124
Acosta, Gabriel; Durán, Ricardo G.
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.
2005
Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition. Zbl 0893.35046
Acosta, Gabriel; Rossi, Julio D.
1997
Korn inequality and divergence operator: counterexamples and optimality of weighted estimates. Zbl 1267.26017
Acosta, Gabriel; Durán, Ricardo G.; García, Fernando López
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.
2002
Finite element approximations for fractional evolution problems. Zbl 1426.65145
Acosta, Gabriel; Bersetche, Francisco M.; Borthagaray, Juan Pablo
2019
Divergence operator and related inequalities. Zbl 1394.35001
Acosta, Gabriel; Durán, Ricardo G.
2017
Anisotropic error estimates for an interpolant defined via moments. Zbl 1154.65007
Acosta, G.; Apel, Thomas; Durán, R. G.; Lombardi, A. L.
2008
Finite element approximations in a non-Lipschitz domain. Zbl 1140.65079
Acosta, Gabriel; Armentano, María G.; Durán, Ricardo G.; Lombardi, Ariel L.
2007
Interpolation error estimates in $$W^{1,p}$$ for degenerate $$Q_1$$ isoparametric elements. Zbl 1120.65116
Acosta, Gabriel; Monzón, Gabriel
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
2002
The minimal angle condition for quadrilateral finite elements of arbitrary degree. Zbl 1357.65236
Acosta, Gabriel; Monzón, Gabriel
2017
Eigenvalue problems in a non-Lipschitz domain. Zbl 1282.65142
Acosta, Gabriel; Armentano, María G.
2014
Finite element approximations in a non-Lipschitz domain. II. Zbl 1329.65266
Acosta, Gabriel; Armentano, María G.
2011
Extension theorems for external cusps with minimal regularity. Zbl 1266.46022
Acosta, Gabriel; Ojea, Ignacio
2012
Stable manifold approximation for the heat equation with nonlinear boundary condition. Zbl 0973.35108
Acosta, Gabriel; Fernández Bonder, Julián; Rossi, Julio D.
2000
Condition numbers and scale free graphs. Zbl 1189.90021
Acosta, G.; Graña, M.; Pinasco, J. P.
2006
Korn’s inequalities for generalized external cusps. Zbl 1356.35019
Acosta, Gabriel; Ojea, Ignacio
2016
Improved Poincaré inequalities and solutions of the divergence in weighted norms. Zbl 1362.26015
Acosta, Gabriel; Cejas, María E.; Durán, Ricardo G.
2017
The quasi-periodicity of the minority game revisited. Zbl 1402.91095
Acosta, Gabriel; Caridi, Inés; Guala, Sebastián; Marenco, Javier
2013
Finite element approximations for fractional evolution problems. Zbl 1426.65145
Acosta, Gabriel; Bersetche, Francisco M.; Borthagaray, Juan Pablo
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
2018
A fractional Laplace equation: regularity of solutions and finite element approximations. Zbl 1359.65246
Acosta, Gabriel; Borthagaray, Juan Pablo
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
2017
Divergence operator and related inequalities. Zbl 1394.35001
Acosta, Gabriel; Durán, Ricardo G.
2017
The minimal angle condition for quadrilateral finite elements of arbitrary degree. Zbl 1357.65236
Acosta, Gabriel; Monzón, Gabriel
2017
Improved Poincaré inequalities and solutions of the divergence in weighted norms. Zbl 1362.26015
Acosta, Gabriel; Cejas, María E.; Durán, Ricardo G.
2017
Korn’s inequalities for generalized external cusps. Zbl 1356.35019
Acosta, Gabriel; Ojea, Ignacio
2016
Eigenvalue problems in a non-Lipschitz domain. Zbl 1282.65142
Acosta, Gabriel; Armentano, María G.
2014
Korn inequality and divergence operator: counterexamples and optimality of weighted estimates. Zbl 1267.26017
Acosta, Gabriel; Durán, Ricardo G.; García, Fernando López
2013
The quasi-periodicity of the minority game revisited. Zbl 1402.91095
Acosta, Gabriel; Caridi, Inés; Guala, Sebastián; Marenco, Javier
2013
Extension theorems for external cusps with minimal regularity. Zbl 1266.46022
Acosta, Gabriel; Ojea, Ignacio
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.
2011
Finite element approximations in a non-Lipschitz domain. II. Zbl 1329.65266
Acosta, Gabriel; Armentano, María G.
2011
Anisotropic error estimates for an interpolant defined via moments. Zbl 1154.65007
Acosta, G.; Apel, Thomas; Durán, R. G.; Lombardi, A. L.
2008
Finite element approximations in a non-Lipschitz domain. Zbl 1140.65079
Acosta, Gabriel; Armentano, María G.; Durán, Ricardo G.; Lombardi, Ariel L.
2007
Solutions of the divergence operator on John domains. Zbl 1142.35008
Acosta, Gabriel; Durán, Ricardo G.; Muschietti, María A.
2006
Weighted Poincaré and Korn inequalities for Hölder $$\alpha$$ domains. Zbl 1087.26009
Acosta, Gabriel; Durán, Ricardo G.; Lombardi, Ariel L.
2006
Interpolation error estimates in $$W^{1,p}$$ for degenerate $$Q_1$$ isoparametric elements. Zbl 1120.65116
Acosta, Gabriel; Monzón, Gabriel
2006
Condition numbers and scale free graphs. Zbl 1189.90021
Acosta, G.; Graña, M.; Pinasco, J. P.
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.
2005
An optimal Poincaré inequality in $$L^1$$ for convex domains. Zbl 1057.26010
Acosta, Gabriel; Durán, Ricardo G.
2004
An adaptive time step procedure for a parabolic problem with blow-up. Zbl 1005.65102
Acosta, G.; Durán, R. G.; Rossi, J. D.
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.
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
2002
Lagrange and average interpolation over 3D anisotropic elements. Zbl 0991.41004
Acosta, Gabriel
2001
Error estimates for $${\mathcal Q}_1$$ isoparametric elements satisfying a weak angle condition. Zbl 0981.65124
Acosta, Gabriel; Durán, Ricardo G.
2000
Stable manifold approximation for the heat equation with nonlinear boundary condition. Zbl 0973.35108
Acosta, Gabriel; Fernández Bonder, Julián; Rossi, Julio D.
2000
The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equations. Zbl 0948.65115
Acosta, Gabriel; Durán, Ricardo G.
1999
Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition. Zbl 0893.35046
Acosta, Gabriel; Rossi, Julio D.
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
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#### 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
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#### 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)