Publications

Filter

Show all

105 entries « 1 of 3 »

2022

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

Jessika Camaño; Sergio Caucao; Ricardo Oyarzúa; Segundo Villa-Fuentes

A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier–Stokes problem Journal Article

Applied Numerical Mathematics, 176 , pp. 134–158, 2022, ISSN: 1689274.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

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

Ricardo Oyarzúa; Manuel Solano; Paulo Zúñiga

Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow Journal Article

Computers and Mathematics with Applications, 114 , pp. 225–243, 2022, ISBN: 08981221.

Links | Etiquetas: GIMNAP, Numerical Analysis

Felisia Chiarello; Harold Contreras; Luis Miguel Villada

Nonlocal reaction traffic flow model with on-off ramps Journal Article

Networks and Heterogeneous Media, 17 (2), pp. 203-226, 2022, ISSN: 15561801.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

Alfredo Bermúdez; Bibiana López-Rodríguez; Francisco Peña; Rodolfo Rodríguez; Pilar Salgado; Pablo Venegas

Numerical Solution of an Axisymmetric Eddy Current Model with Current and Voltage Excitations Journal Article

Journal of Scientific Computing, 91 (1), pp. 8, 2022, ISSN: 08857474.

Links | Etiquetas: GIMNAP, Numerical Analysis

José Querales; Pablo Venegas

Mixed approximation of the axisymmetric acoustic eigenvalue problem Journal Article

Computers and Mathematics with Applications, 108 , pp. 1-11, 2022, ISSN: 08981221.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

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

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

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

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

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

Raimund Bürger; Christophe Chalons; Rafael Ordoñez; Luis Miguel Villada

A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function Journal Article

Netw. Heterog. Media, 16 (2), pp. 187-219, 2021.

Links | Etiquetas: discontinuous flux, GIMNAP, invariant region principle., Lighthill-Whitham-Richards traffic model, multiclass traffic model, Numerical Analysis, system of conservation laws

Jessika Camaño; Carlos García; Ricardo Oyarzúa

Analysis of a momentum conservative mixed-FEM for the stationary Navier-Stokes problem Journal Article

Numer. Methods Partial Differential Equations, 37 (5), pp. 2895-2923, 2021.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

Sergio Caucao; Gabriel Gatica; Ricardo Oyarzúa; Felipe Sandoval

Residual-based a posteriori error analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations Journal Article

ESAIM Math. Model. Numer. Anal., 55 (2), pp. 659-687, 2021.

Links | Etiquetas: a posteriori error analysis, Darcy–Forchheimer problem, GIMNAP, Navier–Stokes problem, Numerical Analysis, primal-mixed finite element methods

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

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

Ricardo Oyarzúa; Sander Rhebergen; Manuel Solano; Paulo Zúñiga

Error analysis of a conforming and locking-free four-field formulation for the stationary Biot's model. Journal Article

ESAIM Math. Model. Numer. Anal., 55 , pp. S475-S506., 2021.

Links | Etiquetas: a posteriori error analysis, Biot model, GIMNAP, locking free approximations, mixed finite element methods, Numerical Analysis

Gabriel Gatica; Ricardo Oyarzúa; Ricardo Ruiz-Baier; Yuri Sobral

Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds Journal Article

Comput. Math. Appl., 84 , pp. 244-276, 2021.

Links | Etiquetas: GIMNAP, Numerical Analysis

Patrick Farrell; Luis Gatica; Bishnu Lamichhane; Ricardo Oyarzúa; Ricardo Ruiz-Baier

Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity. Journal Article

Computer Methods in Applied Mechanics and Engineering, 374 (113562), 2021.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

2020

Jaime Muñoz Rivera; Reinhard Racke; Mauricio Sepúlveda; Octavio Vera

On exponential stability for thermoelastic plates: comparison and singular limits. Journal Article

Appl. Math. Optim, 84 (1), pp. 1045-1081, 2020.

Links | Etiquetas: Cattaneo law, exponential stability, Fourier law, GIMNAP, Inertial term, Numerical Analysis, Plates, Singular limit, Thermoelasticity

Rodolfo Araya; Rodolfo Rodríguez; Pablo Venegas

Numerical analysis of a time domain elastoacoustic problem Journal Article

IMA J. Numer. Anal., 40 (2), pp. 1122–1153, 2020, ISSN: 0272-4979.

Links | Etiquetas: GIMNAP, Numerical Analysis

Alfredo Bermúdez; Dolores Gómez; Pablo Venegas

Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis Journal Article

J. Comput. Appl. Math., 367 , pp. 112452, 18, 2020, ISSN: 0377-0427.

Links | Etiquetas: GIMNAP, Numerical Analysis

Gabriel Gatica; Ricardo Oyarzúa; Nathalie Valenzuela

A five-field augmented fully-mixed finite element method for the Navier-Stokes/Đarcy coupled problem Journal Article

Comput. Math. Appl., 80 (8), pp. 1944–1963, 2020, ISSN: 0898-1221.

Links | Etiquetas: GIMNAP, Numerical Analysis

Javier Almonacid; Gabriel Gatica; Ricardo Oyarzúa; Ricardo Ruiz-Baier

A new mixed finite element method for the $n$-dimensional Boussinesq problem with temperature-dependent viscosity Journal Article

Netw. Heterog. Media, 15 (2), pp. 215–245, 2020, ISSN: 1556-1801.

Links | Etiquetas: GIMNAP, Numerical Analysis

Sarvesh Kumar; Ricardo Oyarzúa; Ricardo Ruiz-Baier; Ruchi Sandilya

Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity Journal Article

ESAIM Math. Model. Numer. Anal., 54 (1), pp. 273–299, 2020, ISSN: 0764-583X.

Links | Etiquetas: GIMNAP, Numerical Analysis

Ricardo Oyarzúa; Manuel Solano; Paulo Zúñiga

A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow Journal Article

Comput. Methods Appl. Mech. Engrg., 360 , pp. 112780, 40, 2020, ISSN: 0045-7825.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

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

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

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

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

Raimund Bürger; Rafael Rodoñez; Mauricio Sepúlveda; Luis Miguel Villada

Numerical analysis of a three-species chemotaxis model Journal Article

Comput. Math. Appl., 80 (1), pp. 183–203, 2020, ISSN: 0898-1221.

Links | Etiquetas: GIMNAP, Numerical Analysis

Felisia Chiarello Angela; Paola Goatin; Luis Miguel Villada

Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models Journal Article

Comput. Appl. Math., 39 (2), pp. Paper No. 60, 22, 2020, ISSN: 0101-8205.

Links | Etiquetas: GIMNAP, Numerical Analysis

2019

Ana Alonso-Rodríguez; Jessika Camaño; Rodolfo Rodríguez; Alberto Valli; Pablo Venegas

Correction to: Finite element approximation of the spectrum of the curl operator in a multiply connected domain [ MR3875845] Journal Article

Found. Comput. Math., 19 (1), pp. 243–244, 2019, ISSN: 1615-3375.

Links | Etiquetas: GIMNAP, Numerical Analysis

Ricardo Oyarzúa; Manuel Solano; Paulo Zúñiga

A high order mixed-FEM for diffusion problems on curved domains Journal Article

J. Sci. Comput., 79 (1), pp. 49–78, 2019, ISSN: 0885-7474.

Links | Etiquetas: GIMNAP, Numerical Analysis

Eligio Colmenares; Gabriel Gatica; Ricardo Oyarzúa

A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model Journal Article

Comput. Math. Appl., 77 (3), pp. 693–714, 2019, ISSN: 0898-1221.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

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

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

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

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

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

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

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

105 entries « 1 of 3 »