I am a PhD student of the EPSRC CDT in Partial Differential Equations. My supervisors are Patrick Farrell and Endre Süli.
I am also the president of the Oxford University SIAM Student Chapter (2020-2021).
+44 1865 270504
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Computing multiple solutions of topology optimization problems
SIAM Journal on Scientific Computing issue 3 volume 43 page A1555-A1582 (6 May 2021)
I am interested in numerical methods for finding multiple solutions of topology optimization problems.
My main focuses are
- PDE constrained optimization
- Topology optimization
- Numerical analysis of finite element methods
- Computing multiple solutions of nonlinear PDEs
A Firedrake implementation of preconditioners for the deflated barrier method applied to 3D problems can be found at this Github repository.
Here is a MATLAB implementation of deflation.
Tutor in Continuous Optimization for the Oxford Study Abroad Programme (2020)
Tutor for Numerical Solution of Differential Equations II (2021)
TA for Numerical Solution of Differential Equations I (2020)
TA for Continuous Optimization (2020)
TA for Numerical Linear Algebra (2018 - 2019)
TA for Scientific Computing and Numerical Analysis of PDEs (2019) PDE CDT course
TA for Further Partial Differential Equations (2019) MMSC course
TA for Functional Analysis I (2019)
Prizes, awards, and scholarships:
MathWorks Scholarship (2017-2022)
Judges' choice in the SIAM student chapter Oxford 3 minute thesis competition (2020) Link to transcript
People's choice in the SIAM student chapter Oxford 3 minute thesis competition (2020)
The Durham Prize (Keble College, Oxford)
Gerald Whitrow Prize (Imperial College London)
Major / recent publications:
Computing multiple solutions of topology optimization problems, I. P. A. Papadopoulos, P. E. Farrell, T. M. Surowiec, SIAM Journal on Scientific Computing, 2021, doi:10.1137/20M1326209.
Numerical analysis of a topology optimization problem for Stokes flow, I. P. A. Papadopoulos, E. Süli, submitted for review, 2021. (arXiv)
Numerical analysis of a discontinuous Galerkin method for the Borrvall-Petersson topology optimization problem, I. P. A. Papadopoulos, submitted for review, 2021. (arXiv)
Preconditioners for computing multiple solutions in three-dimensional fluid topology optimisation, I. P. A. Papadopoulos, P. E. Farrell, in preparation, 2021.