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Post Doctoral Research Visit F/M Reduced basis methods for inverse scattering problems



Job description

Contexte et atouts du poste

The PostDoc will be hosted by the project team IDEFIX 

Mission confiée

Our goal is to apply concepts from reduced-order models (ROMs) to solve inverse boundary value problems associated with frequency-domain wave equations.

The forward problem involves solving a linear partial differential equation (PDE) of the form A(μ, k)u = F, where F is a source, k is a wavenumber, and μ is the set of medium parameters.

Our goal is to estimate μ using recorded data.


In the one-dimensional inverse Schrödinger scattering case, we combined ideas from ROMs and data assimilation to reconstruct the scattering potential from scattering data.

These methods are computationally efficient compared to full waveform inversion (FWI), and they usually yield better reconstruction results than the classical Born approximation.

Furthermore, in the context of inverse boundary value problems for one-dimensional Helmholtz operators and two-dimensional Schrödinger operators, we have combined ROMs with FWI to obtain misfit functionals with improved convexity properties.


The postdoc's overall goal is to advance these methods to the Helmholtz equation in two dimensions and/or elasticity problems for subsurface imaging.

Principales activités

 The mains tasks are:

  • Implement a ROM method for 2D Helmholtz equation

  • Analyse the method convergence

  • Extend the work to the elasticity system
  • Compétences

    Technical skills and level required :


    Languages :


    Relational skills :


    Other valued appreciated :

    Avantages

  • Subsidized meals

  • Partial reimbursement of public transport costs

  • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)

  • Possibility of teleworking (after 6 months of employment) and flexible organization of working hours

  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)

  • Social, cultural and sports events and activities

  • Access to vocational training

  • Social security coverage
  • Rémunération

    Monthly gross salary : 2.788 euros/month


    Required Skill Profession

    Life Scientists



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