Research
PhD projects
Funded research projects
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Adaptive multilevel stochastic collocation methods for uncertainty quantification
(2021 – 2022; funded by EPSRC)
This project aims to develop, analyse, implement and test a novel methodology for reliable error estimation and adaptive error control
in the framework of the multilevel stochastic collocation finite element method for PDEs with random inputs.
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Numerical analysis of adaptive UQ algorithms for PDEs with random inputs
(2017 – 2021; funded by EPSRC)
This joint project with
collaborators at The University of Manchester
focused on the development of robust, accurate, and practical numerical methods for solving parameter-dependent PDEs
stemming from uncertainty quantification models.
Postdoc at Birmingham: Dr Feng Xu.
Current PhD students
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Jingye Li
(since January 2023)
Project title: "Machine-learning techniques for PDE-based reliability analysis problems"
Jointly supervised with
Prof Jinglai Li
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Andrey Savinov
(since September 2022)
Project title: "Design and analysis of adaptive stochastic collocation finite element methods"
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Thomas Round
(since September 2019)
Project title: "Adaptive numerical algorithms for PDE problems with random inputs"
Supervised PhD and Master students