2022
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Felipe Lepe; Gonzalo Rivera; Jesús Vellojin Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem. Journal Article Journal of Computational and Applied Mathematics, 40 (114798), pp. 20pp, 2022. Links | Etiquetas: GIMNAP @article{Lepe2022c,
title = {Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem.},
author = {Felipe Lepe and Gonzalo Rivera and Jesús Vellojin},
doi = {10.1016/j.cam.2022.114798},
year = {2022},
date = {2022-09-15},
journal = {Journal of Computational and Applied Mathematics},
volume = {40},
number = {114798},
pages = {20pp},
keywords = {GIMNAP},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; Gonzalo Rivera; Jesús Vellojin A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem. Journal Article Journal of Scientific Computing, 93 (1), pp. 25, 2022. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Lepe2022b,
title = {A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem.},
author = {Felipe Lepe and Gonzalo Rivera and Jesús Vellojin },
doi = {10.1007/s10915-022-01972-y},
year = {2022},
date = {2022-08-22},
journal = {Journal of Scientific Computing},
volume = {93},
number = {1},
pages = {25},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; Gonzalo Rivera; Jesús Vellojin Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. Journal Article SIAM Journal on Scientific Computing, 44 (3), pp. A1358–A1380, 2022. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Lepe2022,
title = {Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem.},
author = {Felipe Lepe and Gonzalo Rivera and Jesús Vellojin},
doi = {10.1137/21M1402959},
year = {2022},
date = {2022-05-31},
journal = {SIAM Journal on Scientific Computing},
volume = {44},
number = {3},
pages = {A1358--A1380},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
2021
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Felipe Lepe; Francisco Fuica; Enrique Otarola; Daniel Quero A posteriori error estimates in W^(1,p)x L^p spaces for the Stokes system with Dirac measures. Journal Article Computers & Mathematics with Applications., 94 (2), pp. 47-59, 2021, ISBN: 0898-1221. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Lepe2021c,
title = {A posteriori error estimates in W^(1,p)x L^p spaces for the Stokes system with Dirac measures.},
author = {Felipe Lepe and Francisco Fuica and Enrique Otarola and Daniel Quero},
doi = {10.1016/j.camwa.2021.04.017},
isbn = {0898-1221},
year = {2021},
date = {2021-07-15},
journal = {Computers & Mathematics with Applications.},
volume = {94},
number = {2},
pages = {47-59},
keywords = {GIMNAP, Numerical Analysis},
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}
}
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Felipe Lepe; Enrique Otarola; Daniel Quero Error estimates for FEM discretizations of the Navier--Stokes equations with Dirac measures. Journal Article Journal of Scientific Computing volume, 87 (2), pp. 23, 2021, ISBN: 0885-7474. Links | Etiquetas: GIMNAP, Numerical Analysis @article{Lepe2021d,
title = {Error estimates for FEM discretizations of the Navier--Stokes equations with Dirac measures.},
author = {Felipe Lepe and Enrique Otarola and Daniel Quero},
doi = {10.1007/s10915-021-01496-x},
isbn = {0885-7474},
year = {2021},
date = {2021-05-11},
journal = {Journal of Scientific Computing volume},
volume = {87},
number = {2},
pages = {23},
keywords = {GIMNAP, Numerical Analysis},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; Gonzalo Rivera A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator Journal Article Calcolo, 58 (2), pp. 30, 2021, ISBN: 0008-0624. Links | Etiquetas: GIMNAP @article{Lepe2021b,
title = {A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator},
author = {Felipe Lepe and Gonzalo Rivera},
doi = {10.1007/s10092-021-00412-x},
isbn = {0008-0624},
year = {2021},
date = {2021-04-27},
journal = {Calcolo},
volume = {58},
number = {2},
pages = {30},
keywords = {GIMNAP},
pubstate = {published},
tppubtype = {article}
}
|
Felipe Lepe; Gonzalo Rivera A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem Journal Article Computer Methods in Applied Mathematics and Engineering, 379 (1), pp. 113753, 2021, ISSN: 0045-7825. Links | Etiquetas: GIMNAP, Numerical Analysis, Stokes @article{Lepe2021,
title = {A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem},
author = {Felipe Lepe and Gonzalo Rivera},
doi = {10.1016/j.cma.2021.113753},
issn = {0045-7825},
year = {2021},
date = {2021-03-13},
journal = {Computer Methods in Applied Mathematics and Engineering},
volume = {379},
number = {1},
pages = {113753},
keywords = {GIMNAP, Numerical Analysis, Stokes},
pubstate = {published},
tppubtype = {article}
}
|
2020
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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}
}
|
2019
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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}
}
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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}
}
|
2016
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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. |
2014
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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}
}
|
