• papadopoulos@wias-berlin.de
• papadopoulos
• ioannisPApapadopoulos
• 0000-0003-3522-8761
• scholar

   

I am a BMS Dirichlet fellow (postdoc) in the Nonsmooth Variational Problems and Operator Equations group at the Weierstrass Institute in Berlin.

I work on the numerical solution of partial differential equations, with a particular focus on

• high-order spectral/hp-finite element methods,
• topology optimization,
• quasivariational inequalities,
• computing multiple solutions of nonlinear PDEs.

I lead the development of fir3dab, and regularly commit to Julia packages in JuliaApproximation.

I have collected a number of self-contained codes in MATLAB, Python, and Julia of deflation techniques for computing multiple solutions of nonlinear discretized PDEs/systems in a Github repository.

Noteable Prizes

• IMA Leslie Fox Prize in Numerical Analysis, second place (2023).
• Durham Prize, awarded by Keble College for performance during an MSc (2017).
• Gerald Whitrow Prize, awarded for excellence during the final undergraduate examinations (2016).
• Dean’s List, awarded to the top 10% of the cohort (2016).
• London Mathematical Society undergraduate research bursary (2015).

Forthcoming

3-7 Mar 2025: I will give a talk at CSE25 as part of Dan Fortunato and Anna Yesypenko's minisymposium on "Advances in Domain Decomposition Methods and Fast Solvers".

News

20 Nov 2024: My paper titled "Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity" was published in Numerische Mathematik. (DOI: 10.1007/s00211-024-01438-3).

6 Nov 2024: I gave a MATH+ Spotlight Talk on a semismooth Newton method for obstacle-type quasivariational inequalities. Click for slides.

5 Nov 2024: I am happy to share that my paper (co-authored with Timon Gutleb, Mikael Slevinsky, and Sheehan Olver) titled "Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli" has been published in the SIAM Journal on Scientific Computing (DOI: 10.1137/23M160846X).

22 Oct 2024: I gave a talk in the Weierstrass Institute seminar on Non-smooth Variational Problems and Operator Equations in Berlin, Germany, on a semismooth Newton method for obstacle-type quasivariational inequalities. Click for slides.

1 Oct 2024: I am delighted to announce that Amal Alphonse, Constantin Christof, Michael Hintermüller, and I have submitted a paper entitled "A globalized inexact semismooth Newton method for nonsmooth fixed-point equations involving variational inequalities" where we develop a semismooth Newton method for a class of obstacle-type quasivariational inequalities (arXiv, Gridap, Firedrake).

18 Sep 2024: I gave a talk on "a semismooth Newton method for obstacle-type quasivariational inequalities" at the Firedrake'24 workshop in Oxford, UK. Click for slides.

10 Jul 2024: Sheehan Olver and I published a paper in Advances in Computational Mathematics entitled "A sparse spectral method for fractional differential equations in one-spatial dimension" (DOI: 10.1007/s10444-024-10164-1).

25 Jun 2024: I gave an invited talk entitled "A frame approach for equations involving the fractional Laplacian" at the Singular and oscillatory integration: advances and applications workshop in UCL, UK. Click for slides.

21 Feb 2024: I gave a talk in the Weierstrass Institute seminar on Non-smooth Variational Problems and Operator Equations in Berlin, Germany, on computing multiple solutions of topology optimization problems. Click for slides.

21 Feb 2024: Sheehan Olver and I submitted a manuscript entitled "A sparse hierarchical hp-finite element method on disks and annuli" (arXiv).

20 Feb 2024: Kars Knook, Sheehan Olver and I submitted a manuscript entitled "Quasi-optimal complexity hp-FEM for Poisson on a rectangle" (arXiv).

29 Nov 2023: A paper was published in SISC on "Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization" together with Patrick Farrell (DOI: 10.1137/22M1478598).

22 Nov 2023: Timon S. Gutleb, José A. Carrillo, Sheehan Olver and I submitted a manuscript entitled "A frame approach for equations involving the fractional Laplacian" (arXiv).

21 Nov 2023: Timon S. Gutleb and I submitted a manuscript entitled "Explicit fractional Laplacians and Riesz potentials of classical functions" (arXiv).

15 Nov 2023: I moved to Berlin and I am now a BMS Dirichlet postdoctoral fellow based in the Weierstrass Institute.

13 Oct 2023: I gave a talk in the numerical analysis seminar at the University of Bath, UK. I spoke on a sparse hp-finite element method for the Helmholtz equation posed on disks, annuli, and cylinders.

11 Oct 2023: Timon S. Gutleb, Richard M. Slevinsky, Sheehan Olver and I submitted a manuscript entitled "Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli" (arXiv).

10 Oct 2023: I gave a talk in the internal numerical analysis seminar at the University of Oxford, UK. I spoke on a sparse hp-finite element method for the Helmholtz equation posed on disks, annuli, and cylinders.

25 Sep 2023: I gave a talk in the EUCCO 2023 conference in Heidelberg, Germany, on computing multiple solutions of topology optimization problems. Click for slides.

24 Aug 2023: I gave a talk in ICIAM 2023 in Tokyo, Japan, on sparse spectral methods for fractional PDEs. Click for slides.

14 Aug 2023: I gave a talk in the Numerical Analysis in the 21st Century conference in honour of Nick Trefethen's retirement from Oxford. I spoke on sparse hp-FEM and SEM for the Helmholtz equation posed on disks and annuli.

24 Jul 2023: I gave a talk in the USNCCM17 conference in Albuquerque, New Mexico, on computing multiple solutions of topology optimization problems. Click for slides.

17-21 Jul 2023: I visited Dan Fortunato in the Flatiron Institute in NYC and gave a talk on sparse hp-FEM methods for the Helmholtz equation.

29 Jun 2023: I gave a talk in the 29th Biennial Numerical Analysis Conference in Strathclyde, Glasgow, on sparse spectral methods for fractional PDEs. Click for slides.

29-30 Jun 2023: I co-organised a minisymposium of 12 speakers (together with Timon Gutleb and Marco Fasondini) on "Spectral methods and orthogonal polynomials" in the 29th Biennial Numerical Analysis Conference in Strathclyde, Glasgow.

26 Jun 2023: I won second place in the Leslie-Fox prize competition. Click for slides.

2 Mar 2023: I gave a talk in CSE23 in Amsterdam, Netherlands, on sparse spectral methods for fractional PDEs. Click for slides.

2 Mar 2023: I organised a minisymposium of 8 speakers on "Applications & Implementations of Fast Spectral Methods" in CSE23 in Amsterdam, Netherlands.

16 Nov 2022: I gave a talk in the IC-UCL numerical analysis seminar at UCL, UK, on the numerical analysis of a topology optimization problem for the compliance of a linearly elastic structure.

20 Oct 2022: I was an invited speaker in the Applied Mathematics seminar in Leicester University, UK and spoke on sparse spectral methods for fractional PDEs. Click for slides.

20 Sep 2022: I gave a talk in the second numerical analysis and acoustics workshop, held at Imperial College London, on sparse spectral methods for fractional PDEs. Click for slides.

15 Aug 2022: I gave a talk in the GAMM 2022 conference in Aachen, Germany on computing multiple solutions of topology optimization problems as part of a Young Researchers Minisymposium. Click for slides.

19 Jul 2022: I gave an invited talk in the PDE CDT reunion conference in Oxford, UK, on sparse spectral methods for fractional PDEs. Click for slides.

7 Dec 2021: I received my Leave to Supplicate from the University of Oxford. I officially hold a DPhil (PhD).

24 Sep 2021: I passed my DPhil (PhD) viva with minor corrections!

1 Jul 2021: I have started as a research assistant at Imperial College London working in the group of Dr Sheehan Olver.