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Manuel E. Solano

Assistant Professor

Departamento de Ingeniería Matemática

Facultad de Ciencias Físicas y Matemáticas

Universidad de Concepción


- Numerical analysis
- Finite element methods
- Hybridizable discontinuous Galerkin method
- Scientific computing


[20] R. Araya, Manuel Solano and P. Vega. A posteriori error analysis of an HDG method for the Oseen problem.. Submitted.

[19] Manuel Solano and F. Vargas. A high order HDG method for Stokes flow in curved domains.. Journal of Scientific Computing (2019)

[18] Ricardo Oyarzúa, Manuel Solano and Paulo Zúñiga. A high order mixed-FEM for diffusion problems on curved domains. Journal of Scientific Computing (2019)

[17] Ariel Lombardi, Rommel Bustinza and 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)

[16] Tonatiuh Sánchez-Vizuet and Manuel E. Solano A Hybridizable Discontinuous Galerkin solver for the Grad-Shafranov equation. Computer Physics Communications, Vol. 235, pp 120-132, (2019).

[15] Jay Gopalakrishnan, Manuel E. Solano and Felipe Vargas. Dispersion analysis of HDG methods equation. Journal of Scientific Computing, Vol. 77 (3), pp. 1703-1735, (2018).

[14] R. Araya, Manuel Solano and P. Vega. Analysis of an adaptive HDG method for the Brinkman problem. , IMA Journal of Numerical Analysis, dry031 (2018).

[13] C. Rivas, R. Rodriguez and Manuel E. Solano. A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings.. Wave Motion, Vol. 78, pp. 68-82, (2018).

[12] C. Rivas, Manuel E. Solano, R. Rodriguez, P. B. Monk and A. Lakhtakia. Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings.. J. Opt. Soc. Am. A. Vol. 34, Issue 1, pp. 68-79 (2017)

[11] H. Chen, W. Qiu, K. Shi and Manuel Solano A superconvergent HDG method for the Maxwell equations.. J. Sci Comput. , Vol. 70, 3, pp. 1010-1029 (2017) .

[10] W. Qiu ,Manuel Solano and Patrick Vega. A high order HDG method for curved-interface problems via approximations from straight triangulations.. J. Sci Comput., Vol. 69, 3, pp. 1384-1407 (2016) .

[9] Manuel E. Solano, Greg D. Barber, Akhlesh Lakhtakia, Muhammad Faryad, Peter B. Monk and Thomas E. Mallouk. Buffer layer between a planar optical concentrator and a solar cell. AIP Advances 5, 097150 (2015)

[8] Mikhail V. Shuba, Muhammad Faryad, Manuel E. Solano, Peter B. Monk and Akhlesh Lakhtakia. Adequacy of the rigorous coupled-wave approach for thin-film silicon solar cells with periodically corrugated metallic backreflectors: spectral analysis. J. Opt. Soc. Am. A. Vol. 32, Issue 7, pp. 1222-1230 (2015)

[7] Manuel E. Solano, Muhammad Faryad, Akhlesh Lakhtakia, and Peter B. Monk. Comparison of rigorous coupled-wave approach and finite element method for photovoltaic devices with periodically corrugated metallic back reflector. JOSA A, Vol. 31, Issue 10, pp. 2275-2284 (2014)

[6] Bernardo Cockburn and Manuel Solano. Solving convection-diffusion problems on curved domains by extensions from subdomains. J. Sci Comput., Vol. 59, pp. 512-543 (2014)

[5] Bernardo Cockburn, Weifeng Qiu and Manuel Solano. A priori error analysis for HDG methods using extensions from subdomains to achieve boundary-conformity. Math. Comp., Vol. 82, 286, pp. 665-699 (2014)

[4] Manuel Solano, Muhammad Faryad, Peter Monk, Thomas Mallouk and Akhlesh Lakhtakia. Periodically multilayered planar optical concentrator for photovoltaic solar cells. Applied Physics Letters, Vol. 103, 191115 (2013)

[3] Manuel Solano, Muhamamd Faryad, Anthony S. Hall, Thomas Mallouk, Peter Monk, and Akhlesh Lakhtakia. Optimization of the absorption efficiency of an amorphous-silicon thin-film tandem solar cell backed by a metallic surface-relief grating. Applied Optics, Vol. 52, Issue 5, pp. 966-979 (2013)

[2] Bernardo Cockburn and Manuel Solano. Solving Dirichlet Boundary-value Problems on Curved Domains by Extensions from Subdomains. SIAM J. Sci. Comput. 34, pp. A497-A519 (2012)

[1] Bernardo Cockburn, Francisco Javier Sayas and Manuel Solano. Coupling at a Distance HDG and BEM. SIAM J. Sci. Comput. 34, pp A28-A47 (2012)


Ph.D. Program in Applied Sciences with major in Mathematical Engineering, Universidad de Concepción

[1] Cinthya Rivas. Title: Efficient computation of electromagnetic fields in solar cells. In collaboration with Rodolfo Rodríguez and Peter Monk. April 2014 - September 2018.

[2] Patrick Vega. Title: Hybridizable Discontinuous Galerkin method in fluid mechanics. In collaboration with Weifenq Qiu and Rodolfo Araya. 2016 - December 2018.

[3] Felipe Vargas. Title: Discontinuous Galerkin methods in continuum mechanics . In collaboration with Jay Gopalakrishnan. 2016 - January 2019.

[4] Paulo Zúñiga. Title: High order mixed method in fluid mechanics . In collaboration with Ricardo Oyarzúa. 2017 - present.

Undergraduate Program in Civil Mathematical Engineering, Universidad de Concepción

[1] Juan Manuel Cárdenas. Title: An HDG method for linear elasticity in curved domains. April 2017 - March 2018.

[2] Alejandra Barrios. Title: An HDG method for the biharmonic. March 2017 - November 2018.

Ph.D. Program in Mathematical Sciences, Universidad Nacional de Colombia, Medellín campus

[1] Liliana Camargo. Title: An HDG method applied to light harvesting devices. In collaboration with Mauricio Osorio and Bibiana López Rodríguez 2017 - present.


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