2022
|
David Mora; Alberth Silgado A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean Journal Article Computers and Mathematics with Applications, 116 , pp. 212-228, 2022, ISSN: 08981221. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Mora2022,
title = {A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean},
author = {David Mora and Alberth Silgado },
doi = {10.1016/j.camwa.2021.05.022},
issn = {08981221},
year = {2022},
date = {2022-06-15},
journal = {Computers and Mathematics with Applications},
volume = {116},
pages = {212-228},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Dibyendu Adak; David Mora; Sundararajan Natarajan Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation Journal Article Journal of Scientific Computing, 91 (1), pp. 23, 2022, ISSN: 08857474. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Adak2022,
title = {Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation},
author = {Dibyendu Adak and David Mora and Sundararajan Natarajan},
doi = {10.1007/s10915-022-01794-y},
issn = {08857474},
year = {2022},
date = {2022-04-30},
journal = {Journal of Scientific Computing},
volume = {91},
number = {1},
pages = {23},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2021
|
Dibyendu Adak; David Mora; Sundararajan Natarajan; Alberth Silgado A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation Journal Article ESAIM Math. Model. Numer. Anal., 55 (5), pp. 2535-2566, 2021. Links | Etiquetas: GIMNAP, Navier–Stokes equations, Numerical Analysis, stream-function, time dependent problem, Virtual element method @article{Adak2021,
title = {A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation},
author = {Dibyendu Adak and David Mora and Sundararajan Natarajan and Alberth Silgado },
doi = {10.1051/m2an/2021058},
year = {2021},
date = {2021-11-01},
journal = {ESAIM Math. Model. Numer. Anal.},
volume = {55},
number = {5},
pages = {2535-2566},
keywords = {GIMNAP, Navier–Stokes equations, Numerical Analysis, stream-function, time dependent problem, Virtual element method},
pubstate = {published},
tppubtype = {article}
}
|
David Mora; Iván Velásquez A C1-C0 conforming virtual element discretization for the transmission eigenvalue problem. Journal Article Res. Math. Sci., 8 (4-56), pp. 21pp, 2021. Links | Etiquetas: error estimates, GIMNAP, Numerical Analysis, polygonal meshes, Spectral problem, Transmission eigenvalues, Virtual element method @article{Mora2021,
title = {A C1-C0 conforming virtual element discretization for the transmission eigenvalue problem.},
author = {David Mora and Iván Velásquez},
doi = {10.1007/s40687-021-00291-2},
year = {2021},
date = {2021-09-27},
journal = {Res. Math. Sci.},
volume = {8},
number = {4-56},
pages = {21pp},
keywords = {error estimates, GIMNAP, Numerical Analysis, polygonal meshes, Spectral problem, Transmission eigenvalues, Virtual element method},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; Rubén Caraballo; Bryan Gómez-Vargas; David Mora; RIcardo Ruiz Baier Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity Journal Article Calcolo, 58 (4-44), pp. 25pp, 2021. Links | Etiquetas: A priori and a posteriori error analysis, Adaptive mesh refinement, GIMNAP, mixed finite element methods, Numerical Analysis, Oseen equations, Variable viscosity, Velocity-vorticity-pressure formulation @article{Anaya2021,
title = {Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity},
author = {Verónica Anaya and Rubén Caraballo and Bryan Gómez-Vargas and David Mora and RIcardo Ruiz Baier},
doi = {10.1007/s10092-021-00433-6},
year = {2021},
date = {2021-09-23},
journal = {Calcolo},
volume = {58},
number = {4-44},
pages = {25pp},
keywords = {A priori and a posteriori error analysis, Adaptive mesh refinement, GIMNAP, mixed finite element methods, Numerical Analysis, Oseen equations, Variable viscosity, Velocity-vorticity-pressure formulation},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; David Mora; Gonzalo Rivera; Iván Velásquez
A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges Journal Article Journal of Scientific Computing., 88 (2), pp. 21, 2021, ISBN: 1877-7503. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Lepe2021e,
title = { A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges},
author = {Felipe Lepe and David Mora and Gonzalo Rivera and Iván Velásquez
},
doi = {10.1007/s10915-021-01555-3},
isbn = { 1877-7503},
year = {2021},
date = {2021-07-09},
journal = {Journal of Scientific Computing.},
volume = {88},
number = {2},
pages = {21},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
David Mora; Iván Velásquez Virtual elements for the transmission eigenvalue problem on polytopal meshes Journal Article SIAM J. Sci. Comput., 43 (4), pp. A2425-A2447, 2021. Links | Etiquetas: error estimates, GIMNAP, Numerical Analysis, polytopal meshes, Spectral problem, Transmission eigenvalues, virtual element schemes @article{Mora2021b,
title = {Virtual elements for the transmission eigenvalue problem on polytopal meshes},
author = {David Mora and Iván Velásquez},
doi = {10.1137/20M1347887},
year = {2021},
date = {2021-07-09},
journal = {SIAM J. Sci. Comput.},
volume = {43},
number = {4},
pages = {A2425-A2447},
keywords = {error estimates, GIMNAP, Numerical Analysis, polytopal meshes, Spectral problem, Transmission eigenvalues, virtual element schemes},
pubstate = {published},
tppubtype = {article}
}
|
Carlo Lovadina; David Mora; Iván Velásquez A virtual element method for the von Kármán equations. Journal Article ESAIM: Math. Model. Numer. Anal., 55 (2), pp. 533-560, 2021. Links | Etiquetas: error estimates, GIMNAP, Numerical Analysis, polygonal meshes, Virtual element method, von Kármán equations @article{Lovadina2021,
title = {A virtual element method for the von Kármán equations.},
author = {Carlo Lovadina and David Mora and Iván Velásquez},
doi = {10.1051/m2an/2020085},
year = {2021},
date = {2021-03-15},
journal = {ESAIM: Math. Model. Numer. Anal.},
volume = {55},
number = {2},
pages = {533-560},
keywords = {error estimates, GIMNAP, Numerical Analysis, polygonal meshes, Virtual element method, von Kármán equations},
pubstate = {published},
tppubtype = {article}
}
|
Raimund Bürger; Sarvesh Kumar; David Mora; Ricardo Ruiz-Baier; Nitesh Verma Virtual element methods for the three-field formulation of time-dependent linear poroelasticity Journal Article Advances in Computational Mathematics, 47 (2), pp. 37pp, 2021. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Bürger2021,
title = {Virtual element methods for the three-field formulation of time-dependent linear poroelasticity},
author = {Raimund Bürger and Sarvesh Kumar and David Mora and Ricardo Ruiz-Baier and Nitesh Verma},
doi = {10.1007/s10444-020-09826-7},
year = {2021},
date = {2021-01-04},
journal = {Advances in Computational Mathematics},
volume = {47},
number = {2},
pages = {37pp},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2020
|
Verónica Anaya; Mostafa Bendahmane; David Mora; Mauricio Sepúlveda A virtual element method for a nonlocal FitzĦugh-Nagumo
model of cardiac electrophysiology Journal Article IMA J. Numer. Anal., 40 (2), pp. 1544–1576, 2020, ISSN: 0272-4979. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR4092294,
title = {A virtual element method for a nonlocal FitzĦugh-Nagumo
model of cardiac electrophysiology},
author = {Verónica Anaya and Mostafa Bendahmane and David Mora and Mauricio Sepúlveda},
url = {https://ezproxy.ubiobio.cl:2191/10.1093/imanum/drz001},
doi = {10.1093/imanum/drz001},
issn = {0272-4979},
year = {2020},
date = {2020-01-01},
journal = {IMA J. Numer. Anal.},
volume = {40},
number = {2},
pages = {1544--1576},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; David Mora Symmetric and nonsymmetric discontinuous Galerkin methods
for a pseudostress formulation of the Stokes spectral
problem Journal Article SIAM J. Sci. Comput., 42 (2), pp. A698–A722, 2020, ISSN: 1064-8275. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR4077220,
title = {Symmetric and nonsymmetric discontinuous Galerkin methods
for a pseudostress formulation of the Stokes spectral
problem},
author = {Felipe Lepe and David Mora},
url = {https://ezproxy.ubiobio.cl:2191/10.1137/19M1259535},
doi = {10.1137/19M1259535},
issn = {1064-8275},
year = {2020},
date = {2020-01-01},
journal = {SIAM J. Sci. Comput.},
volume = {42},
number = {2},
pages = {A698--A722},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; Zoa de Wijn; Bryan Gómez-Vargas; David Mora; Ricardo Ruiz-Baier Rotation-based mixed formulations for an
elasticity-poroelasticity interface problem Journal Article SIAM J. Sci. Comput., 42 (1), pp. B225–B249, 2020, ISSN: 1064-8275. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR4065194,
title = {Rotation-based mixed formulations for an
elasticity-poroelasticity interface problem},
author = {Verónica Anaya and Zoa de Wijn and Bryan Gómez-Vargas and David Mora and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1137/19M1268343},
doi = {10.1137/19M1268343},
issn = {1064-8275},
year = {2020},
date = {2020-01-01},
journal = {SIAM J. Sci. Comput.},
volume = {42},
number = {1},
pages = {B225--B249},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
David Mora; Gonzalo Rivera it A priori and it a posteriori error estimates for a
virtual element spectral analysis for the elasticity
equations Journal Article IMA J. Numer. Anal., 40 (1), pp. 322–357, 2020, ISSN: 0272-4979. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR4050542,
title = {it A priori and it a posteriori error estimates for a
virtual element spectral analysis for the elasticity
equations},
author = {David Mora and Gonzalo Rivera},
url = {https://ezproxy.ubiobio.cl:2191/10.1093/imanum/dry063},
doi = {10.1093/imanum/dry063},
issn = {0272-4979},
year = {2020},
date = {2020-01-01},
journal = {IMA J. Numer. Anal.},
volume = {40},
number = {1},
pages = {322--357},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
David Mora; Iván Velásquez Virtual element for the buckling problem of Kirchhoff-Love
plates Journal Article Comput. Methods Appl. Mech. Engrg., 360 , pp. 112687, 22, 2020, ISSN: 0045-7825. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR4049885,
title = {Virtual element for the buckling problem of Kirchhoff-Love
plates},
author = {David Mora and Iván Velásquez},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.cma.2019.112687},
doi = {10.1016/j.cma.2019.112687},
issn = {0045-7825},
year = {2020},
date = {2020-01-01},
journal = {Comput. Methods Appl. Mech. Engrg.},
volume = {360},
pages = {112687, 22},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2019
|
Lourenço Beirão da Veiga; David Mora; Guisseppe Vacca The Stokes complex for virtual elements with application to
Navier-Stokes flows Journal Article J. Sci. Comput., 81 (2), pp. 990–1018, 2019, ISSN: 0885-7474. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR4019985,
title = {The Stokes complex for virtual elements with application to
Navier-Stokes flows},
author = {Lourenço Beirão da Veiga and David Mora and Guisseppe Vacca},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10915-019-01049-3},
doi = {10.1007/s10915-019-01049-3},
issn = {0885-7474},
year = {2019},
date = {2019-01-01},
journal = {J. Sci. Comput.},
volume = {81},
number = {2},
pages = {990--1018},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; Afaf Bouharguane; David Mora; Carlos Reales; Ricardo Ruiz-Baier; Nour Seloula; Hector Torres Analysis and approximation of a vorticity-velocity-pressure
formulation for the Oseen equations Journal Article J. Sci. Comput., 80 (3), pp. 1577–1606, 2019, ISSN: 0885-7474. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3995978,
title = {Analysis and approximation of a vorticity-velocity-pressure
formulation for the Oseen equations},
author = {Verónica Anaya and Afaf Bouharguane and David Mora and Carlos Reales and Ricardo Ruiz-Baier and Nour Seloula and Hector Torres},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10915-019-00990-7},
doi = {10.1007/s10915-019-00990-7},
issn = {0885-7474},
year = {2019},
date = {2019-01-01},
journal = {J. Sci. Comput.},
volume = {80},
number = {3},
pages = {1577--1606},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; Bryan Gómez-Vargas; David Mora; Ricardo Ruiz-Baier Incorporating variable viscosity in vorticity-based
formulations for Brinkman equations Journal Article C. R. Math. Acad. Sci. Paris, 357 (6), pp. 552–560, 2019, ISSN: 1631-073X. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3983282,
title = {Incorporating variable viscosity in vorticity-based
formulations for Brinkman equations},
author = {Verónica Anaya and Bryan Gómez-Vargas and David Mora and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.crma.2019.06.006},
doi = {10.1016/j.crma.2019.06.006},
issn = {1631-073X},
year = {2019},
date = {2019-01-01},
journal = {C. R. Math. Acad. Sci. Paris},
volume = {357},
number = {6},
pages = {552--560},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; Salim Meddahi; David Mora; Rodolfo Rodríguez Mixed discontinuous Galerkin approximation of the elasticity
eigenproblem Journal Article Numer. Math., 142 (3), pp. 749–786, 2019, ISSN: 0029-599X. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3962898,
title = {Mixed discontinuous Galerkin approximation of the elasticity
eigenproblem},
author = {Felipe Lepe and Salim Meddahi and David Mora and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s00211-019-01035-9},
doi = {10.1007/s00211-019-01035-9},
issn = {0029-599X},
year = {2019},
date = {2019-01-01},
journal = {Numer. Math.},
volume = {142},
number = {3},
pages = {749--786},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; David Mora; Carlos Reales; Ricardo Ruiz-Baier Vorticity-pressure formulations for the Brinkman-Đarcy
coupled problem Journal Article Numer. Methods Partial Differential Equations, 35 (2), pp. 528–544, 2019, ISSN: 0749-159X. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3915221,
title = {Vorticity-pressure formulations for the Brinkman-Đarcy
coupled problem},
author = {Verónica Anaya and David Mora and Carlos Reales and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1002/num.22312},
doi = {10.1002/num.22312},
issn = {0749-159X},
year = {2019},
date = {2019-01-01},
journal = {Numer. Methods Partial Differential Equations},
volume = {35},
number = {2},
pages = {528--544},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; Zoa de Wijn; David Mora; Ricardo Ruiz-Baier Mixed displacement-rotation-pressure formulations for linear
elasticity Journal Article Comput. Methods Appl. Mech. Engrg., 344 , pp. 71–94, 2019, ISSN: 0045-7825. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3872756,
title = {Mixed displacement-rotation-pressure formulations for linear
elasticity},
author = {Verónica Anaya and Zoa de Wijn and David Mora and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.cma.2018.09.029},
doi = {10.1016/j.cma.2018.09.029},
issn = {0045-7825},
year = {2019},
date = {2019-01-01},
journal = {Comput. Methods Appl. Mech. Engrg.},
volume = {344},
pages = {71--94},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Lourenço Beirão da Veiga; David Mora; Gonzalo Rivera Virtual elements for a shear-deflection formulation of
Reissner-Mindlin plates Journal Article Math. Comp., 88 (315), pp. 149–178, 2019, ISSN: 0025-5718. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3854054,
title = {Virtual elements for a shear-deflection formulation of
Reissner-Mindlin plates},
author = {Lourenço Beirão da Veiga and David Mora and Gonzalo Rivera},
url = {https://ezproxy.ubiobio.cl:2191/10.1090/mcom/3331},
doi = {10.1090/mcom/3331},
issn = {0025-5718},
year = {2019},
date = {2019-01-01},
journal = {Math. Comp.},
volume = {88},
number = {315},
pages = {149--178},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; Salim Meddahi; David Mora; Rodolfo Rodríguez Acoustic vibration problem for dissipative fluids Journal Article Math. Comp., 88 (315), pp. 45–71, 2019, ISSN: 0025-5718. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3854050,
title = {Acoustic vibration problem for dissipative fluids},
author = {Felipe Lepe and Salim Meddahi and David Mora and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1090/mcom/3336},
doi = {10.1090/mcom/3336},
issn = {0025-5718},
year = {2019},
date = {2019-01-01},
journal = {Math. Comp.},
volume = {88},
number = {315},
pages = {45--71},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2018
|
David Mora; Iván Velásquez A virtual element method for the transmission eigenvalue
problem Journal Article Math. Models Methods Appl. Sci., 28 (14), pp. 2803–2831, 2018, ISSN: 0218-2025. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3895875,
title = {A virtual element method for the transmission eigenvalue
problem},
author = {David Mora and Iván Velásquez},
url = {https://ezproxy.ubiobio.cl:2191/10.1142/S0218202518500616},
doi = {10.1142/S0218202518500616},
issn = {0218-2025},
year = {2018},
date = {2018-01-01},
journal = {Math. Models Methods Appl. Sci.},
volume = {28},
number = {14},
pages = {2803--2831},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
David Mora; Gonzalo Rivera; Iván Velásquez A virtual element method for the vibration problem of
Kirchhoff plates Journal Article ESAIM Math. Model. Numer. Anal., 52 (4), pp. 1437–1456, 2018, ISSN: 0764-583X. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3875292,
title = {A virtual element method for the vibration problem of
Kirchhoff plates},
author = {David Mora and Gonzalo Rivera and Iván Velásquez},
url = {https://ezproxy.ubiobio.cl:2191/10.1051/m2an/2017041},
doi = {10.1051/m2an/2017041},
issn = {0764-583X},
year = {2018},
date = {2018-01-01},
journal = {ESAIM Math. Model. Numer. Anal.},
volume = {52},
number = {4},
pages = {1437--1456},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; Mostafa Bendahmane; David Mora; RIcardo Ruiz Baier On a vorticity-based formulation for
reaction-diffusion-Brinkman systems Journal Article Netw. Heterog. Media, 13 (1), pp. 69–94, 2018, ISSN: 1556-1801. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3811555,
title = {On a vorticity-based formulation for
reaction-diffusion-Brinkman systems},
author = {Verónica Anaya and Mostafa Bendahmane and David Mora and RIcardo Ruiz Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.3934/nhm.2018004},
doi = {10.3934/nhm.2018004},
issn = {1556-1801},
year = {2018},
date = {2018-01-01},
journal = {Netw. Heterog. Media},
volume = {13},
number = {1},
pages = {69--94},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2017
|
David Mora; Gonzalo Rivera; Rodolfo Rodríguez A posteriori error estimates for a virtual element method for
the Steklov eigenvalue problem Journal Article Comput. Math. Appl., 74 (9), pp. 2172–2190, 2017, ISSN: 0898-1221. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3715326,
title = {A posteriori error estimates for a virtual element method for
the Steklov eigenvalue problem},
author = {David Mora and Gonzalo Rivera and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.camwa.2017.05.016},
doi = {10.1016/j.camwa.2017.05.016},
issn = {0898-1221},
year = {2017},
date = {2017-01-01},
journal = {Comput. Math. Appl.},
volume = {74},
number = {9},
pages = {2172--2190},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; David Mora; Ricardo Ruiz-Baier Pure vorticity formulation and Galerkin discretization for
the Brinkman equations Journal Article IMA J. Numer. Anal., 37 (4), pp. 2020–2041, 2017, ISSN: 0272-4979. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3712184,
title = {Pure vorticity formulation and Galerkin discretization for
the Brinkman equations},
author = {Verónica Anaya and David Mora and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1093/imanum/drw056},
doi = {10.1093/imanum/drw056},
issn = {0272-4979},
year = {2017},
date = {2017-01-01},
journal = {IMA J. Numer. Anal.},
volume = {37},
number = {4},
pages = {2020--2041},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Lourenço Beirão da Veiga; David Mora; Gonzalo Rivera; Rodolfo Rodríguez A virtual element method for the acoustic vibration problem Journal Article Numer. Math., 136 (3), pp. 725–763, 2017, ISSN: 0029-599X. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3660301,
title = {A virtual element method for the acoustic vibration problem},
author = {Lourenço Beirão da Veiga and David Mora and Gonzalo Rivera and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s00211-016-0855-5},
doi = {10.1007/s00211-016-0855-5},
issn = {0029-599X},
year = {2017},
date = {2017-01-01},
journal = {Numer. Math.},
volume = {136},
number = {3},
pages = {725--763},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; David Mora; Carlos Reales; Ricardo Ruiz-Baier Mixed methods for a stream-function--vorticity formulation of
the axisymmetric Brinkman equations Journal Article J. Sci. Comput., 71 (1), pp. 348–364, 2017, ISSN: 0885-7474. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3620225,
title = {Mixed methods for a stream-function--vorticity formulation of
the axisymmetric Brinkman equations},
author = {Verónica Anaya and David Mora and Carlos Reales and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10915-016-0302-x},
doi = {10.1007/s10915-016-0302-x},
issn = {0885-7474},
year = {2017},
date = {2017-01-01},
journal = {J. Sci. Comput.},
volume = {71},
number = {1},
pages = {348--364},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2016
|
Verónica Anaya; David Mora; Ricardo Oyarzúa; Ricardo Ruiz-Baier A priori and a posteriori error analysis of a mixed scheme for
the Brinkman problem Journal Article Numer. Math., 133 (4), pp. 781–817, 2016, ISSN: 0029-599X. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3520009b,
title = {A priori and a posteriori error analysis of a mixed scheme for
the Brinkman problem},
author = {Verónica Anaya and David Mora and Ricardo Oyarzúa and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s00211-015-0758-x},
doi = {10.1007/s00211-015-0758-x},
issn = {0029-599X},
year = {2016},
date = {2016-01-01},
journal = {Numer. Math.},
volume = {133},
number = {4},
pages = {781--817},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Sergio Caucao; David Mora; Ricardo Oyarzúa it A priori and it a posteriori error analysis of a
pseudostress-based mixed formulation of the Stokes problem
with varying density Journal Article IMA J. Numer. Anal., 36 (2), pp. 947–983, 2016, ISSN: 0272-4979. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3483112b,
title = {it A priori and it a posteriori error analysis of a
pseudostress-based mixed formulation of the Stokes problem
with varying density},
author = {Sergio Caucao and David Mora and Ricardo Oyarzúa},
url = {https://ezproxy.ubiobio.cl:2191/10.1093/imanum/drv015},
doi = {10.1093/imanum/drv015},
issn = {0272-4979},
year = {2016},
date = {2016-01-01},
journal = {IMA J. Numer. Anal.},
volume = {36},
number = {2},
pages = {947--983},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Salim Meddahi; David Mora Nonconforming mixed finite element approximation of a
fluid-structure interaction spectral problem Journal Article Discrete Contin. Dyn. Syst. Ser. S, 9 (1), pp. 269–287, 2016, ISSN: 1937-1632. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3461659,
title = {Nonconforming mixed finite element approximation of a
fluid-structure interaction spectral problem},
author = {Salim Meddahi and David Mora},
url = {https://ezproxy.ubiobio.cl:2191/10.3934/dcdss.2016.9.269},
doi = {10.3934/dcdss.2016.9.269},
issn = {1937-1632},
year = {2016},
date = {2016-01-01},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
volume = {9},
number = {1},
pages = {269--287},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; David Mora; Rodolfo Rodríguez Finite Element Analysis of a Bending Moment Formulation for the Vibration Problem of a Non-homogeneous Timoshenko Beam Journal Article Journal of Scientific Computing, 66 (2), pp. 825-848, 2016, ISBN: 0885-7474. Abstract | Links | Etiquetas: GIMNAP, Numerical Analysis @article{Lepemora2016,
title = {Finite Element Analysis of a Bending Moment Formulation for the Vibration Problem of a Non-homogeneous Timoshenko Beam},
author = {Felipe Lepe and David Mora and Rodolfo Rodríguez},
doi = {10.1007/s10915-015-0046-z},
isbn = {0885-7474},
year = {2016},
date = {2016-01-01},
journal = {Journal of Scientific Computing},
volume = {66},
number = {2},
pages = {825-848},
abstract = {Inthispaperweanalyzealow-orderfiniteelementmethodforapproximatingthe vibration frequencies and modes of a non-homogeneous Timoshenko beam. We consider a formulation in which the bending moment is introduced as an additional unknown. Optimal order error estimates are proved for displacements, rotations, shear stress and bending moment of the vibration modes, as well as a double order of convergence for the vibration frequencies. These estimates are independent of the beam thickness, which leads to the conclusion that the method is locking free. For its implementation, displacements and rotations can be eliminated leading to a well posed generalized matrix eigenvalue problem for which the computer cost of its solution is similar to that of other classical formulations. We report numerical experiments which allow us to assess the performance of the method.},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
Inthispaperweanalyzealow-orderfiniteelementmethodforapproximatingthe vibration frequencies and modes of a non-homogeneous Timoshenko beam. We consider a formulation in which the bending moment is introduced as an additional unknown. Optimal order error estimates are proved for displacements, rotations, shear stress and bending moment of the vibration modes, as well as a double order of convergence for the vibration frequencies. These estimates are independent of the beam thickness, which leads to the conclusion that the method is locking free. For its implementation, displacements and rotations can be eliminated leading to a well posed generalized matrix eigenvalue problem for which the computer cost of its solution is similar to that of other classical formulations. We report numerical experiments which allow us to assess the performance of the method. |
2015
|
Verónica Anaya; Gabriel Gatica; David Mora; Ricardo Ruiz-Baier An augmented velocity-vorticity-pressure formulation for the
Brinkman equations Journal Article Internat. J. Numer. Methods Fluids, 79 (3), pp. 109–137, 2015, ISSN: 0271-2091. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3390375,
title = {An augmented velocity-vorticity-pressure formulation for the
Brinkman equations},
author = {Verónica Anaya and Gabriel Gatica and David Mora and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1002/fld.4041},
doi = {10.1002/fld.4041},
issn = {0271-2091},
year = {2015},
date = {2015-01-01},
journal = {Internat. J. Numer. Methods Fluids},
volume = {79},
number = {3},
pages = {109--137},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Lourenço Beirão da Veiga; Carlo Lovadina; David Mora A virtual element method for elastic and inelastic problems on
polytope meshes Journal Article Comput. Methods Appl. Mech. Engrg., 295 , pp. 327–346, 2015, ISSN: 0045-7825. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3388837,
title = {A virtual element method for elastic and inelastic problems on
polytope meshes},
author = {Lourenço Beirão da Veiga and Carlo Lovadina and David Mora},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.cma.2015.07.013},
doi = {10.1016/j.cma.2015.07.013},
issn = {0045-7825},
year = {2015},
date = {2015-01-01},
journal = {Comput. Methods Appl. Mech. Engrg.},
volume = {295},
pages = {327--346},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Verónica Anaya; David Mora; Carlos Reales; Ricardo Ruiz-Baier Stabilized mixed approximation of axisymmetric Brinkman
flows Journal Article ESAIM Math. Model. Numer. Anal., 49 (3), pp. 855–874, 2015, ISSN: 0764-583X. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3342231,
title = {Stabilized mixed approximation of axisymmetric Brinkman
flows},
author = {Verónica Anaya and David Mora and Carlos Reales and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1051/m2an/2015011},
doi = {10.1051/m2an/2015011},
issn = {0764-583X},
year = {2015},
date = {2015-01-01},
journal = {ESAIM Math. Model. Numer. Anal.},
volume = {49},
number = {3},
pages = {855--874},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
David Mora; Gonzalo Rivera; Rodolfo Rodríguez A virtual element method for the Steklov eigenvalue problem Journal Article Math. Models Methods Appl. Sci., 25 (8), pp. 1421–1445, 2015, ISSN: 0218-2025. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3340705,
title = {A virtual element method for the Steklov eigenvalue problem},
author = {David Mora and Gonzalo Rivera and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1142/S0218202515500372},
doi = {10.1142/S0218202515500372},
issn = {0218-2025},
year = {2015},
date = {2015-01-01},
journal = {Math. Models Methods Appl. Sci.},
volume = {25},
number = {8},
pages = {1421--1445},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Millar; David Mora A finite element method for the buckling problem of simply
supported Kirchhoff plates Journal Article J. Comput. Appl. Math., 286 , pp. 68–78, 2015, ISSN: 0377-0427. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3336227,
title = {A finite element method for the buckling problem of simply
supported Kirchhoff plates},
author = {Felipe Millar and David Mora},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.cam.2015.02.018},
doi = {10.1016/j.cam.2015.02.018},
issn = {0377-0427},
year = {2015},
date = {2015-01-01},
journal = {J. Comput. Appl. Math.},
volume = {286},
pages = {68--78},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Salim Meddahi; David Mora; Rodolfo Rodríguez A finite element analysis of a pseudostress formulation for
the Stokes eigenvalue problem Journal Article IMA J. Numer. Anal., 35 (2), pp. 749–766, 2015, ISSN: 0272-4979. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3335223,
title = {A finite element analysis of a pseudostress formulation for
the Stokes eigenvalue problem},
author = {Salim Meddahi and David Mora and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1093/imanum/dru006},
doi = {10.1093/imanum/dru006},
issn = {0272-4979},
year = {2015},
date = {2015-01-01},
journal = {IMA J. Numer. Anal.},
volume = {35},
number = {2},
pages = {749--766},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2014
|
Salim Meddahi; David Mora; Rodolfo Rodríguez Finite element analysis for a pressure-stress formulation of a
fluid-structure interaction spectral problem Journal Article Comput. Math. Appl., 68 (12, part A), pp. 1733–1750, 2014, ISSN: 0898-1221. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3283363,
title = {Finite element analysis for a pressure-stress formulation of a
fluid-structure interaction spectral problem},
author = {Salim Meddahi and David Mora and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.camwa.2014.10.016},
doi = {10.1016/j.camwa.2014.10.016},
issn = {0898-1221},
year = {2014},
date = {2014-01-01},
journal = {Comput. Math. Appl.},
volume = {68},
number = {12, part A},
pages = {1733--1750},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; David Mora; Rodolfo Rodríguez Locking-free finite element method for a bending moment
formulation of Ŧimoshenko beams Journal Article Comput. Math. Appl., 68 (3), pp. 118–131, 2014, ISSN: 0898-1221. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3231949,
title = {Locking-free finite element method for a bending moment
formulation of Ŧimoshenko beams},
author = {Felipe Lepe and David Mora and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.camwa.2014.05.011},
doi = {10.1016/j.camwa.2014.05.011},
issn = {0898-1221},
year = {2014},
date = {2014-01-01},
journal = {Comput. Math. Appl.},
volume = {68},
number = {3},
pages = {118--131},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Paola Antonietti; Lourenço Beirão da Veiga; David Mora; Marco Verani A stream virtual element formulation of the Stokes problem
on polygonal meshes Journal Article SIAM J. Numer. Anal., 52 (1), pp. 386–404, 2014, ISSN: 0036-1429. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3164557,
title = {A stream virtual element formulation of the Stokes problem
on polygonal meshes},
author = {Paola Antonietti and Lourenço Beirão da Veiga and David Mora and Marco Verani},
url = {https://ezproxy.ubiobio.cl:2191/10.1137/13091141X},
doi = {10.1137/13091141X},
issn = {0036-1429},
year = {2014},
date = {2014-01-01},
journal = {SIAM J. Numer. Anal.},
volume = {52},
number = {1},
pages = {386--404},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2013
|
Verónica Anaya; David Mora; Ricardo Ruiz-Baier An augmented mixed finite element method for the
vorticity-velocity-pressure formulation of the Stokes
equations Journal Article Comput. Methods Appl. Mech. Engrg., 267 , pp. 261–274, 2013, ISSN: 0045-7825. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3127302,
title = {An augmented mixed finite element method for the
vorticity-velocity-pressure formulation of the Stokes
equations},
author = {Verónica Anaya and David Mora and Ricardo Ruiz-Baier},
url = {https://ezproxy.ubiobio.cl:2191/10.1016/j.cma.2013.08.011},
doi = {10.1016/j.cma.2013.08.011},
issn = {0045-7825},
year = {2013},
date = {2013-01-01},
journal = {Comput. Methods Appl. Mech. Engrg.},
volume = {267},
pages = {261--274},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Lourenço Beirão da Veiga; Carlo Lovadina; David Mora Numerical results for mimetic discretization of
Reissner-Mindlin plate problems Journal Article Calcolo, 50 (3), pp. 209–237, 2013, ISSN: 0008-0624. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3090809,
title = {Numerical results for mimetic discretization of
Reissner-Mindlin plate problems},
author = {Lourenço Beirão da Veiga and Carlo Lovadina and David Mora},
url = {https://ezproxy.ubiobio.cl:2191/10.1007/s10092-012-0065-1},
doi = {10.1007/s10092-012-0065-1},
issn = {0008-0624},
year = {2013},
date = {2013-01-01},
journal = {Calcolo},
volume = {50},
number = {3},
pages = {209--237},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Salim Meddahi; David Mora; Rodolfo Rodríguez Finite element spectral analysis for the mixed formulation of
the elasticity equations Journal Article SIAM J. Numer. Anal., 51 (2), pp. 1041–1063, 2013, ISSN: 0036-1429. Links | Etiquetas: GIMNAP, Numerical Analysis @article{MR3036997,
title = {Finite element spectral analysis for the mixed formulation of
the elasticity equations},
author = {Salim Meddahi and David Mora and Rodolfo Rodríguez},
url = {https://ezproxy.ubiobio.cl:2191/10.1137/120863010},
doi = {10.1137/120863010},
issn = {0036-1429},
year = {2013},
date = {2013-01-01},
journal = {SIAM J. Numer. Anal.},
volume = {51},
number = {2},
pages = {1041--1063},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
