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02/10/2023
A highly efficient computational framework for fast scan-resolved simulations of metal additive manufacturing processes on the scale of real parts
This article proposes a novel high-performance computing approach for th...
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09/14/2022
Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit
We present an implementation of a fully stage-parallel preconditioner fo...
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05/18/2022
Enhancing data locality of the conjugate gradient method for high-order matrix-free finite-element implementations
This work investigates a variant of the conjugate gradient (CG) method a...
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03/23/2022
Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations
This work studies three multigrid variants for matrix-free finite-elemen...
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06/03/2021
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
This paper describes in detail the implementation of a finite element te...
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09/09/2020
A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems
A scheme for the solution of fluid-structure interaction (FSI) problems ...
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06/30/2020
Efficient parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme
We discuss the efficient implementation of a high-performance second-ord...
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04/14/2020
Scalability of High-Performance PDE Solvers
Performance tests and analyses are critical to effective HPC software de...
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02/19/2020
hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations
This work presents the efficient, matrix-free finite-element library hyp...
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10/24/2019
The deal.II finite element library: design, features, and insights
deal.II is a state-of-the-art finite element library focused on generali...
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10/24/2019
The deal.II finite element library
deal.II is a state-of-the-art finite element library focused on generali...
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10/22/2019
Using exact geometry information in finite element computations
The traditional workflow in continuum mechanics simulations is that a ge...
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10/04/2019
Hybrid multigrid methods for high-order discontinuous Galerkin discretizations
The present work develops hybrid multigrid methods for high-order discon...
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07/19/2019
A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators
This work proposes a basis for improved throughput of matrix-free evalua...
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07/01/2019
Algorithms and data structures for matrix-free finite element operators with MPI-parallel sparse multi-vectors
Traditional solution approaches for problems in quantum mechanics scale ...
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04/23/2019
A hybridizable discontinuous Galerkin method for electromagnetics with a view on subsurface applications
Two Hybridizable Discontinuous Galerkin (HDG) schemes for the solution o...
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04/05/2019
A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM
We present data structures and implementation details of a geometric mul...
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05/09/2018
Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves
This work presents algorithms for the efficient implementation of discon...
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11/09/2017