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School of Science – Department of Mathematical Sciences
This is a full-time position for a period of 24 months.
Applications are invited for a postdoctoral research associate in Numerical Analysis, to work on an EPSRC funded project led by Dr Marco Discacciati. The project is on domain decomposition methods based on proper generalised decomposition for parametric heterogeneous problems.
Computer simulations are an increasingly important tool to support virtual prototyping in science and engineering as they enable to reduce the time and cost of experimental testing. Virtual design aims to identify the best configuration of a system by testing several values of parameters that characterise various aspects such as geometric features or material properties. These quantities are incorporated in the mathematical model of the system by parametrising the underlying equations. The resulting parametric problem is then solved numerically to identify the optimal configurations. However, this task is computationally very demanding and novel fast and reliable algorithms are needed to make the computational cost affordable. This project will contribute to this field by developing a new computational framework that combines domain decomposition and proper generalised decomposition. These will be used to split parametric problems into collections of simpler subproblems, to solve them independently accounting for all significant values of the parameters, and to ‘glue’ the local solutions to obtain those of the original problems.
The successful candidate will have a PhD in Mathematics, Engineering, Physics, or another closely related discipline with a solid background in numerical methods for partial differential equations, strong programming skills, a high motivation, and an excellent research track record.
For informal enquiries, please contact Dr Marco Discacciati at m.discacciati@lboro.ac.uk.
Closing date: 30 September 2021
Please follow this link for further details.