Status:
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
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
Computing multiple solutions of topology optimization problems
SIAM Journal on Scientific Computing
issue 3
volume 43
page A1555-A1582
(6 May 2021)
Research interests:
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 FEniCS implementation of the deflated barrier method can be found at this GitHub repository.
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.
Teaching:
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.