Jessika CAMAñO, Ricardo OYARZúA, Miguel SERóN, Manuel SOLANO: A strong mass conservative finite element method for the Navier–Stokes/Darcy coupled system. Applied Mathematics Letters, vol. 163, Paper No. 109447, (2025).

Isaac BERMUDEZ, Jessika CAMAñO, Ricardo OYARZúA, Manuel SOLANO: A conforming mixed finite element method for a coupled Navier–Stokes/transport system modelling reverse osmosis processes. Computer Methods in Applied Mechanics and Engineering, vol. 433, Parte A, 1, Paper No. 117527, (2025).

Claudio I. CORREA, Gabriel N. GATICA, Esteban HENRIQUEZ, Ricardo RUIZ-BAIER, Manuel SOLANO: Banach spaces-based mixed finite element methods for the coupled Navier--Stokes and Poisson--Nernst--Planck equations. Calcolo, vol. 61, article: 31, (2024).

Juan Manuel CáRDENAS, Manuel SOLANO: A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity. IMA Journal of Numerical Analysis, vol. 44, no. 2, pp. 945-979, (2024).

Esteban HENRIQUEZ, Manuel SOLANO: An unfitted HDG method for a distributed optimal control problem. Journal of Computational and Applied Mathematics, vol. 441, article: 115703, (2024).

Liliana CAMARGO, Bibiana LóPEZ-RODRíGUEZ, Mauricio OSORIO, Manuel SOLANO: An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media. Journal of Scientific Computing, vol. 98, 7, (2024).

Nestor SáNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Afternote to Coupling at a distance: convergence analysis and a priori error estimates. Computational Methods in Applied Mathematics, vol. 22, no. 4, 2022, pp. 945 970, (2022).

Jaime MANRíQUEZ, Ngoc-Cuong NGUYEN, Manuel SOLANO: A dissimilar non-matching HDG discretization for Stokes flows. Computer Methods in Applied Mechanics and Engineering, vol. 399, 1, article: 115292, (2022).

Ngoc-Cuong NGUYEN, Jaime PERAIRE, Manuel SOLANO, Sébastien TERRANA: An HDG method for dissimilar meshes. IMA Journal of Numerical Analysis, vol. 42, Issue 2, pp. 1665-1699, (2022).

Ricardo OYARZúA, Manuel SOLANO, Paulo ZUñIGA: Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow. Computers & Mathematics with Applications, vol. 114, pp. 225-243, (2022).

Nestor SáNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Error analysis of an unfitted HDG method for a class of non-linear elliptic problems. Journal of Scientific Computing, vol. 90, 3, article: 92, (2022).

Manuel SOLANO, Felipe VARGAS: An unfitted HDG method for Oseen equations. Journal of Computational and Applied Mathematics, vol. 399, Art. Num. 113721, (2022).

Nestor SáNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems. Numerische Mathematik, vol. 148, 4, pp. 919–958, (2021).

Peter MONK, Cinthya RIVAS, Rodolfo RODRíGUEZ, Manuel SOLANO: An asymptotic model based on matching far and near field expansions for thin gratings problems. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, pp. S507-S533, (2021).

Ricardo OYARZúA, Sander RHEBERGEN, Manuel SOLANO, Paulo ZUñIGA: Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model. ESAIM: Mathematical Modelling and Numerical Analysis, vol 55, pp. S475-S506, (2021).

Antoine J. CERFON, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Adaptive hybridizable discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains. Computer Physics Communications, vol. 255, Art. Num. 107239, (2020).

Liliana CAMARGO, Bibiana LóPEZ-RODRíGUEZ, Mauricio OSORIO, Manuel SOLANO: An HDG method for Maxwell equations in heterogeneous media. Computer Methods in Applied Mechanics and Engineering, vol. 368, Art. Num. 113178, (2020).

Ricardo OYARZúA, Manuel SOLANO, Paulo ZUñIGA: A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow. Computer Methods in Applied Mechanics and Engineering, vol. 360, 1, Art. Num. 112780, (2020).

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: A posteriori error analysis of an HDG method for the Oseen problem. Applied Numerical Mathematics, vol. 146, pp. 291-308, (2019).

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: Analysis of an adaptive HDG method for the Brinkman problem. IMA Journal of Numerical Analysis, vol. 39, 3, pp. 1502-1528, (2019).

Manuel SOLANO, Felipe VARGAS: A high order HDG method for Stokes flow in curved domains. Journal of Scientific Computing, vol. 79, 3, pp 1505-1533, (2019).

Ricardo OYARZúA, Manuel SOLANO, Paulo ZUñIGA: A high order mixed-FEM for diffusion problems on curved domains. Journal of Scientific Computing, vol. 79, 1, pp. 49-78, (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).

Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: A hybridizable discontinuous Galerkin solver for the Grad-Shafranov equation. Computer Physics Communications, vol. 235, pp.120-132, (2019).

Jay GOPALAKRISHNAN, Manuel SOLANO, Felipe VARGAS: Dispersion analysis of HDG methods. Journal of Scientific Computing, vol. 77, 3, pp. 1703-1735, (2018).

Cinthya RIVAS, Rodolfo RODRíGUEZ, Manuel SOLANO: A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings. Wave Motion, vol. 78, pp. 68-82, (2018).

Huangxin CHEN, Weifeng QIU, Ke SHI, Manuel SOLANO: A superconvergent HDG method for the Maxwell equations. Journal of Scientific Computing, vol. 70, 3, pp. 1010-1029, (2017).

Akhlesh LAKHTAKIA, Peter MONK, Cinthya RIVAS, Rodolfo RODRíGUEZ, Manuel SOLANO: Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings. Journal of the Optical Society of America A, vol. 34, 1, pp. 68-79, (2017).

Weifeng QIU, Manuel SOLANO, Patrick VEGA: A high order HDG method for curved-interface problems via approximations from straight triangulations. Journal of Scientific Computing, vol. 69, 3, pp. 1384-1407, (2016).

Greg BARBER, Muhammad FARYAD, Akhlesh LAKHTAKIA, Thomas MALLOUK, Peter MONK, Manuel SOLANO: Buffer layer between a planar optical concentrator and a solar cell. AIP Advances, vol. 5, 097150, (2015)

Muhammad FARYAD, Akhlesh LAKHTAKIA, Peter MONK, Mikhail V. SHUBA, Manuel SOLANO: Adequacy of the rigorous coupled-wave approach for thin-film silicon solar cells with periodically corrugated metallic backreflectors: spectral analysis. Journal of the Optical Society of America A, vol. 32, 7, pp. 1222-1230, (2015).

Muhammad FARYAD, Akhlesh LAKHTAKIA, Peter MONK, Manuel SOLANO: Comparison of rigorous coupled-wave approach and finite element method for photovoltaic devices with periodically corrugated metallic backreflector. Journal of the Optical Society of America A, vol. 31, 10, pp. 2275-2284, (2014).

Bernardo COCKBURN, Weifeng QIU, Manuel SOLANO: A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity. Mathematics of Computation, vol. 83, 286, pp. 665-699, (2014).

Muhammad FARYAD, Akhlesh LAKHTAKIA, Thomas MALLOUK, Peter MONK, Mazen SAAD, Manuel SOLANO: Periodically multilayered planar optical concentrator for photovoltaic solar cells. Applied Physics Letters, vol. 103, 191115, (2013).

Isaac BERMUDEZ, Víctor BURGOS, Jessika CAMAÑO, Fernando GAJARDO, Ricardo OYARZÚA, Manuel SOLANO: Mixed finite element methods for coupled fluid flow problems arising from reverse osmosis modeling.

Isaac BERMUDEZ, Jaime MANRÍQUEZ, Manuel SOLANO: A hybridizable discontinuous Galerkin method for Stokes/Darcy coupling in dissimilar meshes.

Jessika CAMAÑO, Ricardo OYARZÚA, Miguel SERÓN, Manuel SOLANO: A conforming finite element method for a nonisothermal fluid-membrane interaction.

Liliana CAMARGO, Manuel SOLANO: A high order unfitted HDG method for the Helmholtz equation with first order absorbing boundary condition.

Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow.

Weifeng QIU, Manuel SOLANO: High order approximation of mixed boundary value problems in curved domains by extensions from polygonal subdomains.

Isaac BERMUDEZ, Jessika CAMAÑO, Ricardo OYARZÚA, Manuel SOLANO: A conforming mixed finite element method for a coupled Navier–Stokes/transport system modelling reverse osmosis processes.

Jessika CAMAÑO, Ricardo OYARZÚA, Miguel SERÓN, Manuel SOLANO: A mass conservative finite element method for a nonisothermal Navier-Stokes/Darcy coupled system.

Esteban HENRIQUEZ, Manuel SOLANO: An unfitted HDG method for a distributed optimal control problem.

Claudio I. CORREA, Gabriel N. GATICA, Esteban HENRIQUEZ, Ricardo RUIZ-BAIER, Manuel SOLANO: Banach spaces-based mixed finite element methods for the coupled Navier--Stokes and Poisson--Nernst--Planck equations.

Liliana CAMARGO, Bibiana LÓPEZ-RODRÍGUEZ, Mauricio OSORIO, Manuel SOLANO: An adaptive and quasi-periodic HDG method for Maxwell’s equations in heterogeneous media.

Jaime MANRÍQUEZ, Ngoc-Cuong NGUYEN, Manuel SOLANO: A dissimilar non-matching HDG discretization for Stokes flows.

Juan Manuel CÁRDENAS, Manuel SOLANO: A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity.

Nestor SÁNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Afternote to Coupling at a distance: convergence analysis and a priori error estimates.

Nestor SÁNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Error analysis of an unfitted HDG method for a class of non-linear elliptic problems.

Ngoc-Cuong NGUYEN, Jaime PERAIRE, Manuel SOLANO, Sébastien TERRANA: An HDG method for non-matching meshes.

Nestor SÁNCHEZ, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems.

Peter MONK, Cinthya RIVAS, Rodolfo RODRÍGUEZ, Manuel SOLANO: An asymptotic model based on matching far and near field expansions for thin gratings problems.

Ricardo OYARZÚA, Sander RHEBERGEN, Manuel SOLANO, Paulo ZUÑIGA: Error analysis of a conforming and locking-free four-field formulation in poroelasticity.

Liliana CAMARGO, Bibiana LÓPEZ-RODRÍGUEZ, Mauricio OSORIO, Manuel SOLANO: An HDG method for Maxwell equations in heterogeneous media.

Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow.

Manuel SOLANO, Felipe VARGAS: An unfitted HDG method for Oseen equations.

Antoine J. CERFON, Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains.

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: A posteriori error analysis of an HDG method for the Oseen problem.

Ricardo OYARZÚA, Manuel SOLANO, Paulo ZUÑIGA: A high order mixed-FEM for diffusion problems on curved domains.

Jay GOPALAKRISHNAN, Manuel SOLANO, Felipe VARGAS: Dispersion analysis of HDG methods.

Tonatiuh SANCHEZ-VIZUET, Manuel SOLANO: A Hybridizable Discontinuous Galerkin solver for the Grad-Shafranov equation.

Rodolfo ARAYA, Manuel SOLANO, Patrick VEGA: Analysis of an adaptive HDG method for the Brinkman problem.

Cinthya RIVAS, Rodolfo RODRÍGUEZ, Manuel SOLANO: A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings.

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

Akhlesh LAKHTAKIA, Peter MONK, Cinthya RIVAS, Rodolfo RODRÍGUEZ, Manuel SOLANO: Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings.

Huangxin CHEN, Weifeng QIU, Ke SHI, Manuel SOLANO: A superconvergent HDG method for the Maxwell equations.

Manuel SOLANO, Felipe VARGAS: A high order HDG method for Stokes flow in curved domains.

Weifeng QIU, Manuel SOLANO, Patrick VEGA: A high order HDG method for curved-interface problems via approximations from straight triangulations.

Greg BARBER, Muhammad FARYAD, Akhlesh LAKHTAKIA, Thomas MALLOUK, Peter MONK, Manuel SOLANO: Buffer layer between a planar optical concentrator and a solar cell.

Muhammad FARYAD, Akhlesh LAKHTAKIA, Peter MONK, Manuel SOLANO: Comparison of rigorous coupled-wave approach and finite element method for photovoltaic devices with periodically corrugated metallic backreflector.

Manuel SOLANO [P], Rodolfo ARAYA, Theophile CHAUMONT FRELET, Diego PAREDES, Abner POZA, Frederic VALENTIN, Patrick VEGA: Efficient Off-LIne numerical Strategies for multi-query problems (EOLIS).

Manuel SOLANO [P]: Discontinuous Galerkin methods: theory and application to alternative energies simulations.

Rodolfo ARAYA [P], Manuel SOLANO: PHOTOM-Photovoltaic Solar Devices in Multiscale Computational Simulations.

Manuel SOLANO [P]: Numerical Methods for Interface Problems in Continuos Mechanics and Solar Energy Devices.

Manuel SOLANO [P]: Numerical Methods for Maxwells Equations: Application to Solar Energy Devices.

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.

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.