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PhD Position F/M: Developing Physics-Based Multilevel Surrogate Models for Electromagnetic Wave Propagation

Il y a 2 mois


Technopole de Sophia Antipolis, France INRIA Temps plein
Job Description

Context and Key Objectives

The development of cost-effective surrogate models is crucial for numerical simulations of electromagnetic wave propagation problems. These simulations rely on space discretization of Maxwell's equations using methods such as finite differences or finite elements. However, for complex and realistic three-dimensional situations, this process can be computationally prohibitive, especially when the end goal consists in many-query analyses.

Recent years have seen the emergence of approaches based on neural networks (NNs) and Deep Learning (DL) for building surrogate models in a non-intrusive way. Model-based neural networks, as opposed to purely data-driven neural networks, are currently the subject of intense research for devising high-performance surrogate models of parametric partial differential equations (PDEs).

Research Objectives

  • Study the feasibility of multilevel distributed strategies for fast training of physics-based DNNs for modeling electromagnetic wave propagation in the frequency domain.
  • Investigate strategies that can accurately and efficiently deal with the simulation of electromagnetic wave interaction with heterogeneous media and geometrically complex scattering structures.
  • Develop high-performance parametric NN surrogates that will be used as the forward model in inverse design studies.

Methodologies and Tools

The PhD project will involve a combination of theoretical and numerical approaches, including:

  • Bibliographical study for a review of physics-based DNNs for wave propagation type models and strategies for designing multilevel and distributed physics-based DNNs.
  • Software development activities using Python programming, TensorFlow, and PyTorch.
  • Numerical assessment of the proposed NN-based physics-based multilevel surrogate models.

Requirements and Qualifications

The ideal candidate should have:

  • Sound knowledge of numerical analysis for PDEs.
  • Sound knowledge of Machine Learning/Deep Learning with Artificial Neural Networks.
  • Basic knowledge of physics of electromagnetic wave propagation.
  • Software development skills in Python programming, TensorFlow, and PyTorch.
  • Relational skills, including team work, verbal communication, active listening, motivation, and commitment.

Working Conditions

The PhD student will be employed by INRIA and will work under the supervision of a senior researcher. The gross salary per month is 2082€ brut per month (year 1 & 2) and 2190€ brut per month (year 3). The working conditions are those of a PhD student at INRIA, with access to state-of-the-art research facilities and a dynamic research environment.