hp-stabilized finite element methods for the convection-diffusion-type problems: a priori and a posteriori estimates and mesh adaptivity
The International Centre for Numerical Methods in Engineering (CIMNE) is a research centre, created in 1987 by consortium between the Catalan Government and the Universitat Politècnica de Catalunya (UPC-BarcelonaTech), devoted to the development and application of numerical methods to a wide range of areas in engineering. CIMNE has been selected as a Severo Ochoa Centre of Excellence for the period 2019-2023. This is the highest level of recognition of excellence and leadership awarded to a research centre in Spain.
Ramon Codina and Joan Baiges
Number of vacancies: 1
Category: PhD (PHD2)
Salary (gross): 17.563,14 EUR
Weekly working hours: Full time
Duration: 3 years
Starting date: No later than Sept 2021
CIMNE is looking for a PhD Researcher to be part of the Research and Technical Development (RTD) Group on Fluid mechanics.
The functions assigned to the candidate will be:
Most of the work on stabilized finite element approximation of convection-diffusion problems has been restricted to h-refinement. The objective of this research would be to analyze hp-refinement strategies and to analyze their combination with high order time integration schemes. The theoretical framework would be the Variational Multiscale (VMS) concept. This should serve to motivate a posteriori error estimates based on the
sub-grid scales, and from these estimates designing adaptive strategies. This work is intended to be fundamental in nature, filling theoretical gaps of the current knowledge, although there are numerous applications. In particular, the transport of contaminants with buoyancy effects is intended to be the target application.
For preliminary results on hp estimates:
For a posteriori estimates based on the VMS concept:
The requirements and merits will be evaluated with a maximum mark of 100 points. Such maximum mark will be obtained by adding up the points obtained in the following items:
Candidates must complete the "Application Form" form on our website, indicating the reference of the vacancy and attaching the following documents in English:
The deadline for registration to the offer ends on 23rd April, 2021 at 12 noon.
The shortlisted candidates may be called for an interview. They may also be required to provide further supporting documentation.
CIMNE is an equal opportunity employer committed to diversity and inclusion. We are pleased to consider all qualified applicants for employment without regard to race, colour, religion, sex, sexual orientation, gender identity, national origin, age, disability or any other basis protected by applicable state or local law. CIMNE has been awarded the HRS4R label.