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…
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…
A C1-mapping based on finite elements on quadrilateral and hexahedral meshes
Daniel Arndt, Guido Kanschat
Finite elements of higher continuity, say conforming in instead of , require a mapping from reference cells to mesh cells which is continuously differentiable across cel…
Quasi-Optimal Error Estimates for the Incompressible Navier-Stokes Problem Discretized by Finite Element Methods and Pressure-Correction Projection with Velocity Stabilization
Daniel Arndt, Helene Dallmann, Gert Lube
We consider error estimates for the fully discretized instationary Navier-Stokes problem. For the spatial approximation we use conforming inf-sup stable finite element methods in c…