Contract type : Fixed-term contract
Renewable contract : Oui
Level of qualifications required : PhD or equivalent
Fonction : Post-Doctoral Research Visit
The post-doc project inscribes into the continuity of the European Research Council (ERC) Consolidator Grant GATIPOR Guaranteed fully adaptive algorithms with tailored inexact solvers for complex porous media flows, https://project.inria.fr/gatipor/ (ends August 2021). This project studied algorithms for numerical approximation of complex systems of unsteady nonlinear partial differential equations arising in underground porous media problems. It aimed at designing novel inexact algebraic and linearization solvers, with each step being adaptively steered, interconnecting at any time all parts of the numerical simulation algorithm. Its key ingredient were optimal a posteriori estimates on the error in the approximate solution which give a guaranteed global upper bound and which distinguish the different error components like the spatial, temporal, regularization, linearization, and algebraic solver ones. It included computer implementation, assessment on academic and industrial benchmarks, and applications to contemporary environmental problems like underground storage of dangerous waste or geological sequestration of CO2.
Within the framework
The recruited person is supposed to work on numerical discretizations of nonlinear partial differential equations (PDEs). The goal will be to design novel adaptive approaches combining different linearization techniques like the Picard or L-schemes with the Netwon method.
References and links
The person recruited will be responsible for theoretical developments and their computer implementation.
- Devise an adaptive linearization, where the initial iterations are performed by a widely-converging linearization scheme (Picard- or L-scheme-type) whereas the later iterations are performed by a fast-converging linearization scheme (Newton)-type.
- Desing a switch steered by a posteriori error estimates.
- Design an adaptive inexact linearization extension, where the linear system associated with the given linearization (Newton/Pickard/L-scheme) is not solved exactly but only approximated by an iterative algebraic solver with a stopping criterion again steered by a posteriori error estimates.
- Provide rigorous analysis for model problems and heuristic extensions for more complex applications.
- Provide computer implementation.
- Consider applications to porous media flows.
Ph.D. in numerical analysis and scientific computing (finite element methods, linearization methods (Picard, Newton, L-scheme), multigrid/domain decomposition algebraic solvers), strong publication record, programming skills (C, C++, Matlab).
- 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
- Theme/Domain :
Earth, Environmental and Energy Sciences
Biologie et santé, Sciences de la vie et de la terre (BAP A)
- Town/city : Paris
- Inria Center : CRI de Paris
- Starting date : 2021-09-01
- Duration of contract : 6 months
- Deadline to apply : 2021-07-06
Inria is the French national research institute dedicated to digital science and technology. It employs 2,600 people. Its 200 agile project teams, generally run jointly with academic partners, include more than 3,500 scientists and engineers working to meet the challenges of digital technology, often at the interface with other disciplines. The Institute also employs numerous talents in over forty different professions. 900 research support staff contribute to the preparation and development of scientific and entrepreneurial projects that have a worldwide impact.
Instruction to apply
Defence Security :
This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment.
Recruitment Policy :
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