324 citations · 718 across the 18 of their papers we have counts for
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Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods
Julius Witte, Daniel Arndt, Guido Kanschat
In this article, we discuss the efficient implementation of powerful domain decomposition smoothers for multigrid methods for high order discontinuous Galerkin (DG) finite element…
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…
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…