Post-Doctoral Research Visit F/M Campaign "Hybrid high-order methods for linear and nonlinear parabolic problems"

Contract type : Fixed-term contract

Renewable contract : Yes

Level of qualifications required : PhD or equivalent

Fonction : Post-Doctoral Research Visit

Assignment

Objective of the project:

The main objective of this project is to develop hybrid high-order methods for linear and nonlinear parabolic problems. In the past decade, HHO methods have developed vigorously for a large class of linear and nonlinear problems. However, several outstanding topics remain, in particular for time-dependent problems and for a posteriori error analysis.  For a better knowledge of the proposed research subject, the state of the art and scientific references, please use the following link: https://team.inria.fr/serena/files/2024/04/Post_doc_HHO. pdf 

 

Responsibilities:

The person recruited is responsible for working full-time on the proposed research project.

 

Steering/Management:

The person recruited will work under the supervision of Dr Zhaonan Dong and Prof Alexandre Ern at the Serena Team in Inria, Paris.

Main activities

The main topics covered in the project:

  • Inf-sup stability for the heat equation with HHO space semi-discretization

  • A posteriori error analysis for linear parabolic problems

  • Extension to nonlinear parabolic problems: phase field models

  • Data assimilation problem subject to the heat equation

Skills

Candidates must hold a doctorate in applied mathematics, be interested in numerical analysis, and have some experience in the following fields: discretization of PDEs, finite element methods, and a posteriori error analysis.

Technical Skills: Proficient in Matlab or C/C++ programming skills required.

Languages: Good written and oral communication skills in English

Interpersonal skills: ability to work in a team

Benefits package

  • 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
  • Flexible organization of working hours (after 12 months of employment) 
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage

Remuneration

According to civil service salary scales