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2022

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

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

2021

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

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

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

2020

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

2019

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

2018

Sergio Caucao; Gabriel Gatica; Ricardo Oyarzúa

Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations Journal Article

ESAIM Math. Model. Numer. Anal., 52 (5), pp. 1947–1980, 2018, ISSN: 0764-583X.

Links | Etiquetas: GIMNAP, Numerical Analysis

Jessika Camaño; Ricardo Oyarzúa; Ricardo Ruiz-Baier; Giordano Tierra

Error analysis of an augmented mixed method for the Navier-Stokes problem with mixed boundary conditions Journal Article

IMA J. Numer. Anal., 38 (3), pp. 1452–1484, 2018, ISSN: 0272-4979.

Links | Etiquetas: GIMNAP, Numerical Analysis

Jessika Camaño; Cristian Muñoz; Ricardo Oyarzúa

Numerical analysis of a dual-mixed problem in non-standard Banach spaces Journal Article

Electron. Trans. Numer. Anal., 48 , pp. 114–130, 2018.

Links | Etiquetas: GIMNAP, Numerical Analysis

Luis Gatica; Ricardo Oyarzúa; Nestor Sánchez

A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem Journal Article

Comput. Math. Appl., 75 (7), pp. 2420–2444, 2018, ISSN: 0898-1221.

Links | Etiquetas: GIMNAP, Numerical Analysis

2017

Eligio Colmenares; Gabriel Gatica; Ricardo Oyarzúa

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

Calcolo, 54 (3), pp. 1055–1095, 2017, ISSN: 0008-0624.

Links | Etiquetas: GIMNAP, Numerical Analysis

Sergio Caucao; Gabriel Gatica; Ricardo Oyarzúa; Ivana Sebestova

A fully-mixed finite element method for the Navier-Stokes/Đarcy coupled problem with nonlinear viscosity Journal Article

J. Numer. Math., 25 (2), pp. 55–88, 2017, ISSN: 1570-2820.

Links | Etiquetas: GIMNAP, Numerical Analysis

Ricardo Oyarzúa; Paulo Zúñiga

Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters Journal Article

J. Comput. Appl. Math., 323 , pp. 71–94, 2017, ISSN: 0377-0427.

Links | Etiquetas: GIMNAP, Numerical Analysis

Eligio Colmenares; Gabriel Gatica; Ricardo Oyarzúa

An augmented fully-mixed finite element method for the stationary Boussinesq problem Journal Article

Calcolo, 54 (1), pp. 167–205, 2017, ISSN: 0008-0624.

Links | Etiquetas: GIMNAP, Numerical Analysis

Marco Discacciati; Ricardo Oyarzúa

A conforming mixed finite element method for the Navier-Stokes/Đarcy coupled problem Journal Article

Numer. Math., 135 (2), pp. 571–606, 2017, ISSN: 0029-599X.

Links | Etiquetas: GIMNAP, Numerical Analysis

Sergio Caucao; Gabriel Gatica; Ricardo Oyarzúa

A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Đarcy coupled problem with nonlinear viscosity Journal Article

Comput. Methods Appl. Mech. Engrg., 315 , pp. 943–971, 2017, ISSN: 0045-7825.

Links | Etiquetas: GIMNAP, Numerical Analysis

Jessika Camaño; Ricardo Oyarzúa; Giordano Tierra

Analysis of an augmented mixed-FEM for the Navier-Stokes problem Journal Article

Math. Comp., 86 (304), pp. 589–615, 2017, ISSN: 0025-5718.

Links | Etiquetas: GIMNAP, Numerical Analysis

2016

Ricardo Oyarzúa; Ricardo Ruiz-Baier

Locking-free finite element methods for poroelasticity Journal Article

SIAM J. Numer. Anal., 54 (5), pp. 2951–2973, 2016, ISSN: 0036-1429.

Links | Etiquetas: GIMNAP, Numerical Analysis

Jessika Camaño; Gabriel Gatica; Ricardo Oyarzúa; Giordano Tierra

An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity Journal Article

SIAM J. Numer. Anal., 54 (2), pp. 1069–1092, 2016, ISSN: 0036-1429.

Links | Etiquetas: GIMNAP, Numerical Analysis

Eligio Colmenares; Gabriel Gatica; Ricardo Oyarzúa

Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem Journal Article

C. R. Math. Acad. Sci. Paris, 354 (1), pp. 57–62, 2016, ISSN: 1631-073X.

Links | Etiquetas: GIMNAP, Numerical Analysis

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

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

2015

Jessika Camaño; Gabriel Gatica; Ricardo Oyarzúa; Ricardo Ruiz-Baier; Pablo Venegas

New fully-mixed finite element methods for the Stokes-Đarcy coupling Journal Article

Comput. Methods Appl. Mech. Engrg., 295 , pp. 362–395, 2015, ISSN: 0045-7825.

Links | Etiquetas: GIMNAP, Numerical Analysis

2014

Ricardo Oyarzúa; Tong Qin; Dominik Schötzau

An exactly divergence-free finite element method for a generalized Boussinesq problem Journal Article

IMA J. Numer. Anal., 34 (3), pp. 1104–1135, 2014, ISSN: 0272-4979.

Links | Etiquetas: GIMNAP, Numerical Analysis

2013

Carolina Domínguez; Gabriel Gatica; Salim Meddahi; Ricardo Oyarzúa

it A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem Journal Article

ESAIM Math. Model. Numer. Anal., 47 (2), pp. 471–506, 2013, ISSN: 0764-583X.

Links | Etiquetas: GIMNAP, Numerical Analysis