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Preprints
[13] I. P. A. Papadopoulos, Hierarchical proximal Galerkin: a fast hp-FEM solver for variational problems with pointwise inequality constraints, preprint, 2024. (arXiv).
[12] A. Alphonse, C. Christof, M. Hintermüller, I. P. A. Papadopoulos, A globalized inexact semismooth Newton method for nonsmooth fixed-point equations involving variational inequalities, preprint, 2024. (arXiv).
[11] I. P. A. Papadopoulos, S. Olver A sparse hierarchical hp-finite element method on disks and annuli, preprint, 2024. (arXiv).
[10] K. Knook, S. Olver, I. P. A. Papadopoulos, Quasi-optimal complexity hp-FEM for Poisson on a rectangle, preprint, 2024. (arXiv).
[9] I. P. A. Papadopoulos, T. S. Gutleb, J. A. Carrillo, S. Olver, A frame approach for equations involving the fractional Laplacian, preprint, 2023. (arXiv).
[8] T. S. Gutleb, I. P. A. Papadopoulos, Explicit fractional Laplacians and Riesz potentials of classical functions, preprint, 2023. (arXiv).
Published
[7] I. P. A. Papadopoulos, Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity, Numerische Mathematik, 2024. (Paper), (arXiv).
[6] I. P. A. Papadopoulos, T. S. Gutleb, R. M. Slevinsky, S. Olver, Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli, SIAM Journal on Scientific Computing, 2024. (Paper), (arXiv).
[5] I. P. A. Papadopoulos, S. Olver, A sparse spectral method for fractional differential equations in one-spatial dimension, Advances in Computational Mathematics, 2024. (Paper), (arXiv).
[4] I. P. A. Papadopoulos, P. E. Farrell, Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization, SIAM Journal on Scientific Computing, 2023. (Paper), (arXiv).
[3] I. P. A. Papadopoulos, Numerical analysis of a discontinuous Galerkin method for the Borrvall-Petersson topology optimization problem, SIAM Journal on Numerical Analysis, 2022. (Paper), (arXiv).
[2] I. P. A. Papadopoulos, E. Süli Numerical analysis of a topology optimization problem for Stokes flow, Journal of Computational and Applied Mathematics, 2022. (Paper), (arXiv).
[1] I. P. A. Papadopoulos, P. E. Farrell, T. M. Surowiec, Computing multiple solutions of topology optimization problems, SIAM Journal on Scientific Computing, 2021. (Paper), (arXiv).