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NekRS, a GPU-accelerated spectral element Navier–Stokes solver
P Fischer, S Kerkemeier, M Min, YH Lan, M Phillips… - Parallel Computing, 2022 - Elsevier
The development of NekRS, a GPU-oriented thermal-fluids simulation code based on the
spectral element method (SEM) is described. For performance portability, the code is based …
spectral element method (SEM) is described. For performance portability, the code is based …
A survey of parallelization techniques for multigrid solvers
E Chow, RD Falgout, JJ Hu, RS Tuminaro… - Parallel processing for …, 2006 - SIAM
This chapter surveys the techniques that are necessary for constructing computationally
efficient parallel multigrid solvers. Both geometric and algebraic methods are considered …
efficient parallel multigrid solvers. Both geometric and algebraic methods are considered …
[HTML][HTML] Key features of numerical models for the FE-simulation of deep tunnel advance by the NATM
P Gamnitzer, M Neuner, M Schreter-Fleischhacker… - Underground …, 2024 - Elsevier
In the present work, important aspects of time-dependent nonlinear 3D finite element (FE)
models for deep tunnel advance by the New Austrian Tunneling Method (NATM) …
models for deep tunnel advance by the New Austrian Tunneling Method (NATM) …
AmgX: A library for GPU accelerated algebraic multigrid and preconditioned iterative methods
M Naumov, M Arsaev, P Castonguay, J Cohen… - SIAM Journal on …, 2015 - SIAM
The solution of large sparse linear systems arises in many applications, such as
computational fluid dynamics and oil reservoir simulation. In realistic cases the matrices are …
computational fluid dynamics and oil reservoir simulation. In realistic cases the matrices are …
Exposing fine-grained parallelism in algebraic multigrid methods
Algebraic multigrid methods for large, sparse linear systems are a necessity in many
computational simulations, yet parallel algorithms for such solvers are generally …
computational simulations, yet parallel algorithms for such solvers are generally …
A generic interface for parallel cell-based finite element operator application
M Kronbichler, K Kormann - Computers & Fluids, 2012 - Elsevier
We present a memory-efficient and parallel framework for finite element operator application
implemented in the generic open-source library deal. II. Instead of assembling a sparse …
implemented in the generic open-source library deal. II. Instead of assembling a sparse …
Multigrid smoothers for ultraparallel computing
AH Baker, RD Falgout, TV Kolev, UM Yang - SIAM Journal on Scientific …, 2011 - SIAM
This paper investigates the properties of smoothers in the context of algebraic multigrid
(AMG) running on parallel computers with potentially millions of processors. The …
(AMG) running on parallel computers with potentially millions of processors. The …
An efficient multigrid solver based on a four-color cell-block Gauss-Seidel smoother for 3D magnetotelluric forward modeling
Practical application of 3D magnetotelluric inversion requires efficient forward modeling of
electromagnetic (EM) fields in the earth. To resolve realistic 3D structures, large …
electromagnetic (EM) fields in the earth. To resolve realistic 3D structures, large …
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier–Stokes equations
In recent years, considerable effort has been placed on develo** efficient and robust
solution algorithms for the incompressible Navier–Stokes equations based on …
solution algorithms for the incompressible Navier–Stokes equations based on …
Multigrid for matrix-free high-order finite element computations on graphics processors
M Kronbichler, K Ljungkvist - ACM Transactions on Parallel Computing …, 2019 - dl.acm.org
This article presents matrix-free finite-element techniques for efficiently solving partial
differential equations on modern many-core processors, such as graphics cards. We …
differential equations on modern many-core processors, such as graphics cards. We …