Section: Partnerships and Cooperations

International Initiatives

Participation in Other International Programs

International Initiatives

  • Title: PHOTOvoltaic solar devices in Multiscale computational simulations

  • International Partners:

    • Center for Research in Mathematical Engineering, Universidad de Concepcion (Chile), Rodolfo Araya

    • Laboratório Nacional de Computação Científica (Brazil), Frédéric Valentin

    • Instito de Matemáticas, PUCV (Chile), Diego Paredes

  • Duration: 2018 - 2020

  • Start year: 2018

  • See also: http:////www.photom.lncc.br

  • The work consists of devising, analyzing and implementing new multiscale finite element methods, called Multiscale Hybrid-Mixed (MHM) method, for the Helmholtz and the Maxwell equations in the frequency domain. The physical coefficients involved in the models contain highly heterogeneous and/or high contrast features. The goal is to propose numerical algorithms to simulate wave propagation in complex geometries as found in photovoltaic devices, which are naturally prompt to be used in massively parallel computers. We demonstrate the well-posedness and establish the optimal convergence of the MHM methods. Also, the MHM methods are shown to induce a new face-based a posteriori error estimator to drive space adaptivity. An efficient parallel implementation of the new multiscale algorithm assesses theoretical results and is shown to scale on a petaflop parallel computer through academic and realistic two and three-dimensional solar cells problems.

Informal International Partners
  • Prof. Kurt Busch, Humboldt-Universität zu Berlin, Institut für Physik, Theoretical Optics & Photonics

Inria International Chairs
  • IIC VALENTIN Frédéric

  • Title: Innovative multiscale numerical algorithms for wave-matter interaction models at the nanoscale

  • International Partner (Institution - Laboratory - Researcher):

    • Laboratório Nacional de Computação Científica (Brazil), Frédéric Valentin

  • Duration: 2018 - 2022

  • Start year: 2018

  • See also: https://www.lncc.br/~valentin/

  • The project addresses complex three-dimensional nanoscale wave-matter interaction models, which are relevant to the nanophotonics and nanophononics fields, and aims at devising innovative multiscale numerical methods, named Multiscale Hybrid-Mixed methods (MHM for short), to solve them with high accuracy and high performance.