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Manuel Esteban Solano Palma

Associate Professor

Universidad de Concepción

Concepcion, Chile

Líneas de Investigación


Numerical Analysis; Applied Mathematics; Scientific Computing. In particular, numerical method for partial differential equations arising from continuum mechanics and solar energy modeling.

Educación

  •  Scientific Computing in Mathematics, UNIVERSITY OF MINNESOTA, TWIN CITIES. Estados Unidos, 2012
  •  Ingeniero Matemático, UNIVERSIDAD DE CONCEPCION. Chile, 2007
  •  Ciencias de la Ingeniería Matemática, UNIVERSIDAD DE CONCEPCION. Chile, 2004

Experiencia Académica

  •   Associate Professor Full Time

    UNIVERSIDAD DE CONCEPCION

    Ciencias Físicas y Matemáticas

    Concepción, Chile

    2019 - At present

  •   Assistant Professor Full Time

    UNIVERSIDAD DE CONCEPCION

    Ciencias Físicas y Matemáticas

    Concepcion, Chile

    2013 - 2019

  •   Postdoctoral researcher Full Time

    UNIVERSITY OF DELAWARE

    Newark, Estados Unidos

    2012 - 2013

Formación de Capital Humano


DIRECTION OF PHD THESIS

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 - December 2019.
[5] Nestor Sánchez. Title: Development of numerical methods with applications in plasma physics. In collaboration with Dr. Tonatiuh Sáncez-Vizuet. 2019 - present.

DIRECTION OF UNDERGRADUATE THESIS

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.
[3] Fernando Peña. Title: A discontinuous Galerkin method for the hear equation in non-polyginal domains. April 2019- Mayo 2020`+
[4] Jaime Manríquez. Title: A hybridizable discontinuous Galerkin method for the Stokes problem in non-mathcing meshes. March 2020 - December 2020.


Difusión y Transferencia


PRESENTATIONS IN NATIONAL AND INTERNATIONAL MEETINGS (SINCE 2014):

[14] A piori and a posteriori error analysis of an unfitted HDG method for a semi-linear elliptic problem. Simposio Internacional de Métodos Matemáticos Aplicados a las Ciencias, XXII SIMMAC. Universidad de Costa Rica, San José, Costa Rica, 25 al 28 de febrero del 2020.
[13] An unfitted HDG method for a semi-linear elliptic problem arising from nuclear fusion reaction. Caleta Numérica, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile, 25 de septiembre del 2020.
[12] Método de Galerkin discontinuo hibridizable aplicado a un problema de física de plasmas. SUMA 2016, Universidad Nacional de Cuyo, Mendoza, Argentina, 23 al 27 de septiembre de 2019. (Invited speaker).
[11] An HDG method in a plasma physics problem. Seminar "Ingeniería Matemática y Computacional", Pontificia Universidad Católica de Chile, Santiago, Chile. April 10, 2019,
[10] A posteriori error analysis of HDG methods in fluid mechanics. XXVII Congreso de Matemáticas Capricornio, Universidad de Antofagasta, Antofagasta, Chile. July 25 – 27, 2018.
[9] A high order HDG method for Stokes flow in curved domains. XXX Jornada de la Matemaática de la Zona Sur, Universidad Católica de la Santísima Concepción, Concepción, Chile, April 26-28, 2017.
[8] Numerical simulations of photovoltaic solar cells. MAFELAP 2016, Brunel University London, Uxbridge, UK, July 14- 17, 2016.
[7] HDG approximation of boundary value problems on curved domains by extensions from polygonal subdomains. I Panamerican Congress on Computational Mechanics (PANACM 2015), Buenos Aires, Argentina, April 27-29, 2015.
[6] A priori error analysis for HDG methods in curved domains using extensions from polyhedral subdomains. XXVIII Jornada de Matemática de la Zona Sur, Termas de Chilla?n, Chile, April 22-24, 2015.
[5] A priori error analysis for HDG methods in curved domains using extensions from polyhedral subdomains. La Serena Numérica II, La Serena, Chile. January 2015.
[4] Numerical methods for simulations of photovoltaic devices. Seminario Ingeniería Matemática. Pontificia Universidad Católica de Chile, Santiago. December 2014.
[3] Hybridizable discontinuous Galerkin method on general domains. Seminario de Análisis Numérico y Matemática Aplicada, Caleta Numérica. Pontificia Universidad Católica de Valparaíso, Valparaíso. November 2014.
[2] Performance of RCWA and a FE method in simulations of photovoltaic devices. LANUS-FEM, Puerto Varas, Chile. September 2014.
[1] On the robustness of a hybridizable discontinuous Galerkin method for curved domains. XI World Congress on Computational Mechanics. Barcelona, Spain. July 2014.

EVENT ORGANIZATION

[4] Numerical Analysis of PDE's Session, XXII SIMMAC, February 25-28, 2020. Universidad de Costa Rica, San José, Costa Rica.
[3] Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2019), January 21- 25, 2019. Universidad de Concepción, Concepción, Chile.
[2] Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2019), January 11- 15, 2016. Universidad de Concepción, Concepción, Chile.
[1] Spring School on Numerical Analysis (EPANUM 2014), September 23 - October 3, Universidad de Concepción.Concepción, Chile.

RESEARCH VISITS

[10] Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA. July 15 - 20, 2019.
[9] Inria, Sophia-Antipolis, France. January 28 to February 1, 2019.
[8] Courant Institute of Mathematical Sciences, New York University, New York, USA. February 12 - 16, 2018.
[7] Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA. February 5 - 10, 2018.
[6] Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA. January 27 - February 3, 2018.
[5] Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA. July 2 - July 8, 2017.
[4] Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong. July 18 - 30, 2016.
[3] Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA. January 19 - February 10, 2015.
[2] Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA. July 13 - August 9, 2014.
[1] Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA. January 13 - February 23, 2014.

INTERNATIONAL COOPERATION PROJECTS
[2] MATH-AmSud Program "EOLIS-Efficient Off-LIne numerical Strategies for multi-query problems" (Brazil-Chile-France), (2020-2021)
[1] MATH-AmSud Program "PHOTOM-Photovoltaic solar devices in multiscale computational simulations (Brazil-Chile-France), (2018-2019)


Premios y Distinciones

  •   Asignación Académica for Assistant Professor

    UNIVERSIDAD DE CONCEPCION

    Chile, 2017

    Award granted by Universidad de Concepción to outstanding professors in research and teaching activities.

  •   Asignación Académica for Associate Professor

    UNIVERSIDAD DE CONCEPCION

    Chile, 2020

    Award granted by Universidad de Concepción to outstanding associate professors in research and teaching activities.

  •   Becas Mideplan (currently Becas Chile)

    CONSEJO NACIONAL DE CIENCIA Y TECNOLOGIA

    Chile, 2007

    Scholarship to study in a Ph.D. program abroad.


 

Article (34)

A dissimilar non-matching HDG discretization for Stokes flows
Afternote to "Coupling at a Distance": Convergence Analysis and A Priori Error Estimates
Analysis of an unfitted mixed finite element method for aclass of quasi-Newtonian Stokes flow
Error Analysis of an Unfitted HDG Method for a Class of Non-linear Elliptic Problems
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems
An asymptotic model based on matching far and near field expansions for thin gratings problems
An HDG method for dissimilar meshes
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot's model
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model
A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow
Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains
An HDG method for Maxwell’s equations in heterogeneous media
A High Order HDG Method for Stokes Flow in Curved Domains
A Hybridizable Discontinuous Galerkin solver for the Grad-Shafranov equation
A posteriori error analysis of an HDG method for the Oseen problem
An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method
Analysis of an adaptive HDG method for the Brinkman problem
A High Order Mixed-FEM for Diffusion Problems on Curved Domains
A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings
Dispersion Analysis of HDG Methods
A Superconvergent HDG Method for the Maxwell Equations
Asymptotic model for finite-element calculations of diffraction by shallow metallic surface-relief gratings
A High Order HDG Method for Curved-Interface Problems Via Approximations from Straight Triangulations
Adequacy of the rigorous coupled-wave approach for thin-film silicon solar cells with periodically corrugated metallic backreflectors: spectral analysis
Buffer layer between a planar optical concentrator and a solar cell
A PRIORI ERROR ANALYSIS FOR HDG METHODS USING EXTENSIONS FROM SUBDOMAINS TO ACHIEVE BOUNDARY CONFORMITY
Comparison of rigorous coupled-wave approach and finite element method for photovoltaic devices with periodically corrugated metallic backreflector
Solving Convection-Diffusion Problems on Curved Domains by Extensions from Subdomains
Optimization of the absorption efficiency of an amorphous-silicon thin-film tandem solar cell backed by a metallic surface-relief grating
Periodically multilayered planar optical concentrator for photovoltaic solar cells
COUPLING AT A DISTANCE HDG AND BEM
SOLVING DIRICHLET BOUNDARY-VALUE PROBLEMS ON CURVED DOMAINS BY EXTENSIONS FROM SUBDOMAINS
A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity
An unfitted HDG method for Oseen equations

Errata (1)

Optimization of the absorption efficiency of an amorphous-silicon thin-film tandem solar cell backed by a metallic surface-relief grating (vol 52, pg 966, 2013)

Proyecto (7)

Efficient Off-LIne numerical Strategies for multi-query problems
Discontinuous Galerkin methods: theory and application to alternative energies simulations (Fondecyt 1200569)
Concurso Apoyo a Centros Científicos y Tecnólogicos de Excelencia con Financiamiento Basal
NUMERICAL METHODS FOR INTERFACE PROBLEMS IN CONTINUOUS MECHANICS AND SOLAR ENERGY DEVICES
Anillo de Investigación en Aálisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM)
NUMERICAL METHODS FOR MAXWELL'S EQUATIONS=> APPLICATION TO SOLAR ENERGY DEVICES
Multiplasmonic Light Harvesting fot Thin Film Solar Cells
40
Manuel Solano

Associate Professor

Ingeniería Matemática

Universidad de Concepción

Concepcion, Chile

5
Patrick Vega

Profesor Asociado

Departamento de Matemática y Ciencia de la Computación

Universidad de Santiago de Chile

Santiago, Chile

2
Felipe Vargas

Investigador Postdoctoral

Pontificia Universidad Católica de Chile

Santiago, Chile

2
Rodolfo Araya

Full Professor

Mathematical Engineering

DEPARTAMENTO DE INGENIERIA MATEMATICA, UNIVERSIDAD DE CONCEPCION

Concepcion, Chile

2
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

1
Ricardo Oyarzúa

Associate Professor

Mathematics

UNIVERSIDAD DEL BIO-BIO

Concepcion, Chile

1
Rommel Bustinza

Associate Professor

Departamento de Ingenieria Matematica

UNIVERSIDAD DE CONCEPCION

Concepcion, Chile