13 citations · 14 across the 4 of their papers we have counts for
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Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity
Ioannis P. A. Papadopoulos
We study the finite element approximation of the solid isotropic material with penalization method (SIMP) for the topology optimization problem of minimizing the compliance of a li…
A sparse spectral method for fractional differential equations in one-spatial dimension
Ioannis P. A. Papadopoulos, Sheehan Olver
We develop a sparse spectral method for a class of fractional differential equations, posed on , in one dimension. These equations can include sqrt-Laplacian, Hilbert,…
Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization
Ioannis P. A. Papadopoulos, Patrick E. Farrell
Topology optimization problems generally support multiple local minima, and real-world applications are typically three-dimensional. In previous work [I. P. A. Papadopoulos, P. E.…
Numerical analysis of a discontinuous Galerkin method for the Borrvall-Petersson topology optimization problem
Ioannis P. A. Papadopoulos
Divergence-free discontinuous Galerkin (DG) finite element methods offer a suitable discretization for the pointwise divergence-free numerical solution of Borrvall and Petersson's…
Numerical analysis of a topology optimization problem for Stokes flow
Ioannis P. A. Papadopoulos, Endre Süli
T. Borrvall and J. Petersson [Topology optimization of fluids in Stokes flow, International Journal for Numerical Methods in Fluids 41 (1) (2003) 77--107] developed the first model…
Computing multiple solutions of topology optimization problems
Ioannis P. A. Papadopoulos, Patrick E. Farrell, Thomas M. Surowiec
Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based techniques combined with continuation in model parameters a…