324 citations · 543 across the 5 of their papers we have counts for
5 papers
The deal.II finite element library: design, features, and insights
Daniel Arndt, Wolfgang Bangerth, Denis Davydov +7
deal.II is a state-of-the-art finite element library focused on generality, dimension-independent programming, parallelism, and extensibility. Herein, we outline its primary design…
Modelling the flexoelectric effect in solids: a micromorphic approach
Andrew McBride, Denis Davydov, Paul Steinmann
Flexoelectricity is characterised by the coupling of the gradient of the deformation and the electrical polarization in a dielectric material. A novel micromorphic approach is pres…
Algorithms and data structures for matrix-free finite element operators with MPI-parallel sparse multi-vectors
Denis Davydov, Martin Kronbichler
Traditional solution approaches for problems in quantum mechanics scale as , where is the number of electrons. Various methods have been proposed to address th…
A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid
Denis Davydov, Jean-Paul Pelteret, Daniel Arndt +1
The performance of finite element solvers on modern computer architectures is typically memory bound for sufficiently large problems. The main cause for this is that loading matrix…
DFT-FE -- A massively parallel adaptive finite-element code for large-scale density functional theory calculations
Phani Motamarri, Sambit Das, Shiva Rudraraju +3
We present an accurate, efficient and massively parallel finite-element code, DFT-FE, for large-scale ab-initio calculations (reaching electrons) using Kohn-Sham den…