Tomás BARRIOS, Edwin BEHRENS, Rommel BUSTINZA: An a posteriori error estimator of the Lamé equations considering nonhomogeneous Dirichlet boundary condition. Journal of Mathematical Analysis and Applications, vol. 553, Issue 1, 129900, (2026).

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: Dedicated to Prof. R. Rodrii­guez, on the occasion of his 70th birthday. Journal of Computational Physics, vol. 537, article: 114056 (19pp), (2025).

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

Ramiro ACEVEDO, Rommel BUSTINZA, Christian GÓMEZ: A transient Eddy current problem via potential formulation with current excitation.

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.

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, 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.