A mixed virtual element discretization for the generalized Oseen problem.

Gonzalo Rivera https://orcid.org/0000-0002-6449-6506

Felipe Lepe Gonzalo Rivera A mixed virtual element discretization for the generalized Oseen problem. 2026 January abs/2601.20050 CoRR https://doi.org/10.48550/arXiv.2601.20050 db/journals/corr/corr2601.html#abs-2601-20050 streams/journals/corr

Felipe Lepe Gonzalo Rivera A locking-free mixed virtual element discretization for the elasticity eigenvalue problem. 2026 January abs/2601.20807 CoRR https://doi.org/10.48550/arXiv.2601.20807 db/journals/corr/corr2601.html#abs-2601-20807 streams/journals/corr

Danilo Amigo Felipe Lepe Enrique Otárola Gonzalo Rivera A virtual element method for a convective Brinkman-Forchheimer problem coupled with a heat equation. 1-23 2025 191 Comput. Math. Appl. https://doi.org/10.1016/j.camwa.2025.04.015 db/journals/cma/cma191.html#AmigoLOR25 streams/journals/cma

Felipe Lepe Gonzalo Rivera Jesus Vellojin A Stokes-Brinkman-Type Formulation for The Eigenvalue Problem in Porous Media. 84 2025 September 104 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-025-02993-z db/journals/jscic/jscic104.html#LepeRV25 streams/journals/jscic

Felipe Lepe Gonzalo Rivera Jesus Vellojin A Mixed Finite Element Method for the Velocity-Pseudostress Formulation of the Oseen Eigenvalue Problem. 3356- 2025 47 SIAM J. Sci. Comput. 6 https://doi.org/10.1137/24m1696950 db/journals/siamsc/siamsc47.html#LepeRV25 streams/journals/siamsc

Felipe Lepe Gonzalo Rivera Jesus Vellojin A Stokes-Brinkman-type formulation for the eigenvalue problem in porous media. 2025 July abs/2507.08226 CoRR https://doi.org/10.48550/arXiv.2507.08226 db/journals/corr/corr2507.html#abs-2507-08226 streams/journals/corr

Felipe Lepe Gonzalo Rivera Jesus Vellojin Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media. 2025 July abs/2507.11695 CoRR https://doi.org/10.48550/arXiv.2507.11695 db/journals/corr/corr2507.html#abs-2507-11695 streams/journals/corr

Danilo Amigo Felipe Lepe Enrique Otárola Gonzalo Rivera A virtual element method for a convective Brinkman-Forchheimer problem coupled with a heat equation. 2024 abs/2409.02252 CoRR https://doi.org/10.48550/arXiv.2409.02252 db/journals/corr/corr2409.html#abs-2409-02252 streams/journals/corr

Felipe Lepe Gonzalo Rivera Jesus Vellojin A Mixed finite element method for the velocity-pseudostress formulation of the Oseen eigenvalue problem. 2024 abs/2409.17314 CoRR https://doi.org/10.48550/arXiv.2409.17314 db/journals/corr/corr2409.html#abs-2409-17314 streams/journals/corr

Dibyendu Adak Felipe Lepe Gonzalo Rivera A noncoforming virtual element approximation for the Oseen eigenvalue problem. 2024 abs/2412.16813 CoRR https://doi.org/10.48550/arXiv.2412.16813 db/journals/corr/corr2412.html#abs-2412-16813 streams/journals/corr

Felipe Lepe David Mora Gonzalo Rivera Iván Velásquez A posteriori virtual element method for the acoustic vibration problem. 10 2023 February 49 Adv. Comput. Math. 1 https://doi.org/10.1007/s10444-022-10003-1 db/journals/adcm/adcm49.html#LepeMRV23

Felipe Lepe David Mora Gonzalo Rivera Iván Velásquez Correction: A posteriori virtual element method for the acoustic vibration problem. 23 2023 April 49 Adv. Comput. Math. 2 https://doi.org/10.1007/s10444-023-10022-6 db/journals/adcm/adcm49.html#LepeMRV23a

Felipe Lepe Gonzalo Rivera Jesus Vellojin Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem. 114798 2023 420 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2022.114798 db/journals/jcam/jcam420.html#LepeRV23

Danilo Amigo Felipe Lepe Gonzalo Rivera A Virtual Element Method for the Elasticity Spectral Problem Allowing for Small Edges. 2023 December 97 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-023-02372-6 db/journals/jscic/jscic97.html#AmigoLR23

Felipe Lepe Gonzalo Rivera VEM discretization allowing small edges for the reaction-convection-diffusion equation: source and spectral problems. 2023 abs/2302.02240 CoRR https://doi.org/10.48550/arXiv.2302.02240 db/journals/corr/corr2302.html#abs-2302-02240

Danilo Amigo Felipe Lepe Gonzalo Rivera A virtual element method for the elasticity spectral problem allowing small edges. 2023 abs/2303.00710 CoRR https://doi.org/10.48550/arXiv.2303.00710 db/journals/corr/corr2303.html#abs-2303-00710

Danilo Amigo Felipe Lepe Gonzalo Rivera A priori and a posteriori error analysis for a VEM discretization of the convection-diffusion eigenvalue problem. 2023 abs/2309.16084 CoRR https://doi.org/10.48550/arXiv.2309.16084 db/journals/corr/corr2309.html#abs-2309-16084

Danilo Amigo Felipe Lepe Gonzalo Rivera VEM allowing small edges for the acoustic problem. 2023 abs/2310.07955 CoRR https://doi.org/10.48550/arXiv.2310.07955 db/journals/corr/corr2310.html#abs-2310-07955

Felipe Lepe Gonzalo Rivera Jesus Vellojin Finite Element Analysis of the Oseen eigenvalue problem. 2023 abs/2311.05321 CoRR https://doi.org/10.48550/arXiv.2311.05321 db/journals/corr/corr2311.html#abs-2311-05321

Danilo Amigo Felipe Lepe Gonzalo Rivera Error analysis for a non-conforming virtual element discretization of the acoustic problem. 2023 abs/2312.13261 CoRR https://doi.org/10.48550/arXiv.2312.13261 db/journals/corr/corr2312.html#abs-2312-13261

Felipe Lepe Gonzalo Rivera Jesus Vellojin A Posteriori Analysis for a Mixed FEM Discretization of the Linear Elasticity Spectral Problem. 10 2022 93 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-022-01972-y db/journals/jscic/jscic93.html#LepeRV22

Felipe Lepe Gonzalo Rivera Jesus Vellojin Mixed Methods for the Velocity-Pressure-Pseudostress Formulation of the Stokes Eigenvalue Problem. 1358- 2022 44 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/21m1402959 db/journals/siamsc/siamsc44.html#LepeRV22

Felipe Lepe Gonzalo Rivera Jesús Vellojín A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem. 2022 abs/2201.03658 CoRR https://arxiv.org/abs/2201.03658 db/journals/corr/corr2201.html#abs-2201-03658

Felipe Lepe Gonzalo Rivera Jesus Vellojin Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem. 2022 abs/2203.00788 CoRR https://doi.org/10.48550/arXiv.2203.00788 db/journals/corr/corr2203.html#abs-2203-00788

Felipe Lepe David Mora Gonzalo Rivera Iván Velásquez A posteriori virtual element method for the acoustic vibration problem. 2022 abs/2207.12621 CoRR https://doi.org/10.48550/arXiv.2207.12621 db/journals/corr/corr2207.html#abs-2207-12621

Felipe Lepe Gonzalo Rivera Jesus Vellojin Finite element analysis for the Navier-Lamé eigenvalue problem. 2022 abs/2209.11825 CoRR https://doi.org/10.48550/arXiv.2209.11825 db/journals/corr/corr2209.html#abs-2209-11825

Danilo Amigo Felipe Lepe Gonzalo Rivera A virtual element method for the elasticity problem allowing small edges. 2022 abs/2211.02792 CoRR https://doi.org/10.48550/arXiv.2211.02792 db/journals/corr/corr2211.html#abs-2211-02792

Dibyendu Adak Felipe Lepe Gonzalo Rivera VEM approximation for the Stokes eigenvalue problem: a priori and a posteriori error analysis. 2022 abs/2212.01961 CoRR https://doi.org/10.48550/arXiv.2212.01961 db/journals/corr/corr2212.html#abs-2212-01961

Felipe Lepe David Mora Gonzalo Rivera Iván Velásquez A Virtual Element Method for the Steklov Eigenvalue Problem Allowing Small Edges. 44 2021 88 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-021-01555-3 db/journals/jscic/jscic88.html#LepeMRV21

Daniel Inzunza Felipe Lepe Gonzalo Rivera Displacement-pseudostress formulation for the linear elasticity spectral problem: a priori analysis. 2021 abs/2101.09828 CoRR https://arxiv.org/abs/2101.09828 db/journals/corr/corr2101.html#abs-2101-09828

Felipe Lepe Gonzalo Rivera Jesus Vellojin Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. 2021 abs/2103.03463 CoRR https://arxiv.org/abs/2103.03463 db/journals/corr/corr2103.html#abs-2103-03463

Felipe Lepe David Mora Gonzalo Rivera Iván Velásquez A virtual element method for the Steklov eigenvalue problem allowing small edges. 2020 abs/2006.09573 CoRR https://arxiv.org/abs/2006.09573 db/journals/corr/corr2006.html#abs-2006-09573

Felipe Lepe Gonzalo Rivera A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem. 2020 abs/2006.14775 CoRR https://arxiv.org/abs/2006.14775 db/journals/corr/corr2006.html#abs-2006-14775

Felipe Lepe Gonzalo Rivera A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator. 2020 abs/2008.13314 CoRR https://arxiv.org/abs/2008.13314 db/journals/corr/corr2008.html#abs-2008-13314

L. Beirão da Veiga David Mora Gonzalo Rivera Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. 149-178 2019 88 Math. Comput. 315 https://doi.org/10.1090/mcom/3331 db/journals/moc/moc88.html#VeigaMR19

David Mora Gonzalo Rivera Rodolfo Rodríguez A posteriori error estimates for a Virtual Element Method for the Steklov eigenvalue problem. 2172-2190 2017 74 Comput. Math. Appl. 9 https://doi.org/10.1016/j.camwa.2017.05.016 db/journals/cma/cma74.html#MoraRR17

Lourenço Beirão da Veiga David Mora Gonzalo Rivera Rodolfo Rodríguez A virtual element method for the acoustic vibration problem. 725-763 2017 136 Numerische Mathematik 3 https://doi.org/10.1007/s00211-016-0855-5 db/journals/nm/nm136.html#VeigaMRR17

Dibyendu Adak Danilo Amigo Daniel Inzunza Felipe Lepe David Mora Enrique Otárola Rodolfo Rodríguez Lourenço Beirão da VeigaL. Beirão da Veiga Iván Velásquez Jesus VellojinJesús Vellojín