Rommel BUSTINZA, Matteo CICUTTIN, Ariel LOMBARDI: A hybrid high-order method for the mixed Steklov eigenvalue problem. Numerische Mathematik, vol. 157, pp. 447-475, (2025).

Tomás BARRIOS, Rommel BUSTINZA: An a posteriori error analysis for an augmented DG method applied to Stokes problem. Numerical Methods for Partial Differential Equations, vol. 40, 5, e23100, (2024).

Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS: A note on a posteriori error analysis for dual mixed methods with mixed boundary conditions. Numerical Methods for Partial Differential Equations, vol. 39, 5, pp. 3897-3918 (2023).

Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS: An a posteriori error estimator for a non homogeneous Dirichlet problem considering a dual mixed formulation. Trends in Computational and Applied Mathematics, vol. 23, Issue 3, pp. 549-568 (2022).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: Numerical analysis of a stabilized mixed method applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. Advances in Computational Mathematics, vol. 48, article: 43 (2022).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: An a posteriori error estimate for a dual mixed method applied to Stokes system with non null source terms. Advances in Computational Mathematics, vol. 47, 5, Paper no. 77 (2021).

Tomás BARRIOS, Rommel BUSTINZA: An a priori error analysis for discontinuous Lagrangian finite elements applied to nonconforming dual mixed formulations: Poisson and Stokes problems. Electronic Transactions on Numerical Analysis, vol. 52, pp. 455-479, (2020).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: A stabilised mixed method applied to Stokes system with nonhomogeneous source terms: The stationary case Dedicated to Prof. R. Rodríguez, on the occasion of his 65th birthday. International Journal for Numerical Methods in Fluids, vol. 92, pp. 509-527, (2020).

Rommel BUSTINZA, Jonathan MUNGUIA: A hybrid high-order formulation for a Neumann problem on polytopal meshes. Numerical Methods for Partial Differential Equations, vol. 36, 3, pp. 524-551 (2020).

Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCíA, María GONZáLEZ: An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem. Journal of Computational and Applied Mathematics, vol 357, pp. 349-365, (2019).

Rommel BUSTINZA, Ariel LOMBARDI, Manuel SOLANO: An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method. Computer Methods in Applied Mechanics and Engineering, vol. 345, pp. 382-401, (2019).

Rommel BUSTINZA, Bibiana LóPEZ-RODRíGUEZ, Mauricio OSORIO: An a priori error analysis of an HDG method for an eddy current problem. Mathematical Methods in the Applied Sciences, vol. 41, 7, pp. 2795-2810, (2018).

Tomás BARRIOS, Rommel BUSTINZA, Felipe SANCHEZ: Analysis of DG approximations for Stokes problem based on velocity- pseudostress formulation. Numerical Methods for Partial Differential Equations, vol. 33, 5, pp. 1540-1564, (2017).

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: A note on a priori error estimates for augmented mixed methods. Applied Mathematics Letters, vol. 57, pp. 139-144, (2016).

Tomás BARRIOS, Rommel BUSTINZA, Víctor DOMíNGUEZ: Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frequency regime. Journal of Computational and Applied Mathematics, vol. 300, pp. 312-340, (2016).

Rommel BUSTINZA, Francisco J. SAYAS: Error estimates for an LDG method applied to Signorini type problems. Journal of Scientific Computing, vol. 52, 2, pp. 322-339, (2012).

Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCíA, Erwin HERNáNDEZ: On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates. Computer Methods in Applied Mechanics and Engineering, vol. 237-240, pp 78-87, (2012).

Tomás BARRIOS, Rommel BUSTINZA: An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow. Numerische Mathematik, vol. 120, 2, pp. 231-269, (2012).

Tomás BARRIOS, Rommel BUSTINZA: A priori and a posteriori error analyses of an augmented discontinuous Galerkin formulation. IMA Journal of Numerical Analysis, vol. 30, 4, pp. 987-1008, (2010)

Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCÍA, María GONZÁLEZ: An a posteriori error estimator for a new stabilized formulation of the Brinkman problem. In: Numerical Mathematics and Advanced Applications, ENUMATH 2013, Abdulle, A. et al. (Eds.), Lecture Notes in Computational Science and Engineering, Vol 103, pp. 253-261, Springer Verlag, 2015

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: On the approximation of the Lamé equations considering nonhomogeneous Dirichlet boundary condition: A new approach.

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA, Jose M. CASCON: An a posteriori error estimator for an augmented variational formulation of the Brinkman problem with mixed boundary conditions and non-null source terms.

Rommel BUSTINZA, Jonathan MUNGUIA: A mixed hybrid high-order formulation for linear interior transmission elliptic problems.

Rommel BUSTINZA, Jonathan MUNGUIA: An a priori error analysis for a class of nonlinear elliptic problems applying the hybrid high-order method.

Rommel BUSTINZA, Bibiana LÓPEZ-RODRÍGUEZ, Mauricio OSORIO: An a priori error analysis of an HDG method for an eddy current problem.

Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCÍA, María GONZÁLEZ: A posteriori error analyses of a velocity-pseudostress formulation of the generalized Stokes problem.

Rommel BUSTINZA, Matteo CICUTTIN, Ariel LOMBARDI: A hybrid high-order method for the mixed Steklov eigenvalue problem.

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: Numerical analysis of a stabilized mixed method applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions.

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: An a posteriori error estimate for a dual mixed method applied to Stokes system with non null source terms.

Tomás BARRIOS, Rommel BUSTINZA, Camila CAMPOS: A note on a posteriori error estimates for dual mixed methods.

Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: A stabilised mixed method applied to compressible fluid flow: The stationary case.

Rommel BUSTINZA, Jonathan MUNGUIA: An HHO formulation for a Neumann problem on general meshes.

Tomás BARRIOS, Rommel BUSTINZA: An a posteriori error analysis for an augmented DG method applied to Stokes problem.

Tomás BARRIOS, Rommel BUSTINZA: An a priori error analysis for discontinuous Lagrangian finite elements applied to nonconforming dual mixed formulations: Poisson and Stokes problems.

Rommel BUSTINZA, Ariel LOMBARDI, Manuel SOLANO: An anisotropic a priori error estimate for a convection-dominated diffusion problem using the HDG method.

Tomás BARRIOS, Rommel BUSTINZA, Víctor DOMÍNGUEZ: On the discontinuous Galerkin method for solving boundary problems for the Helmholtz equation: A priori and a posteriori error analyses.

Tomás BARRIOS, Rommel BUSTINZA, Galina C. GARCÍA, Erwin HERNÁNDEZ: A stabilized mixed method for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates and an optimal control problem.

Tomás BARRIOS, Rommel BUSTINZA: An augmented discontinuous Galerkin method for stationary Stokes problem.

Rommel BUSTINZA, Francisco J. SAYAS: Error estimates for an LDG method applied to Signorini type problems.

Rommel BUSTINZA [P]: Circumventing the Inf-Sup Condition via Stabilisation Techniques: A Priori and A Posteriori Error Analyses.

Gabriel N. GATICA [P], Julio ARACENA, Rodolfo ARAYA, Fernando BETANCOURT, Raimund BÜRGER, Rommel BUSTINZA, Jessika CAMAÑO, Anahi GAJARDO, Luis F. GATICA, David MORA, Ricardo OYARZÚA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA, Manuel SOLANO, Luis M. VILLADA: Centro de Modelamiento Matemático (CMM), Universidad de Chile.

Rommel BUSTINZA [P]: Further Applications of Stabilized DG and HDG Methods to Linear and Nonlinear Steady Problems in Continuum Mechanics.

Raimund BÜRGER [P], Rodolfo ARAYA, Rommel BUSTINZA, Gabriel N. GATICA, Norbert HEUER, Carlos JEREZ-HANCKES, David MORA, Ricardo OYARZÚA, Rodolfo RODRÍGUEZ, Frank SANHUEZA, Mauricio SEPÚLVEDA: Anillo de Investigación en Análisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM).

Rommel BUSTINZA [P]: New Developments of Augmented Discontinuous Galerkin Methods for Boundary Value Problems in Continuum Mechanics.

Raimund BÜRGER [P], Julio ARACENA, Rodolfo ARAYA, Fernando BETANCOURT, Rommel BUSTINZA, Fabián FLORES-BAZÁN, Anahi GAJARDO, Gabriel N. GATICA, Carlos M. MORA, Rodolfo RODRÍGUEZ, Mauricio SEPÚLVEDA, Manuel SOLANO: Centro de Modelamiento Matemático (CMM), Universidad de Chile.