Title
GPU accelerated spectral finite elements on all-hex meshes
Abstract
This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An additive Schwartz two-scale preconditioner is employed that allows h-independence convergence. An extensible multi-threading programming API is used as a common kernel language that allows runtime selection of different computing devices (GPU and CPU) and different threading interfaces (CUDA, OpenCL and OpenMP). Performance tests demonstrate that problems with over 50 million degrees of freedom can be solved in a few seconds on an off-the-shelf GPU.
Year
DOI
Venue
2015
10.1016/j.jcp.2016.08.005
J. Comput. Physics
Keywords
Field
DocType
Spectral finite elements,GPU computing,Hexahedral meshes
Kernel (linear algebra),Conjugate gradient method,Polygon mesh,Preconditioner,CUDA,Computer science,Parallel computing,Finite element method,Computational science,General-purpose computing on graphics processing units,Numerical analysis
Journal
Volume
Issue
ISSN
abs/1506.05996
C
0021-9991
Citations 
PageRank 
References 
7
0.54
6
Authors
3
Name
Order
Citations
PageRank
Jean-François Remacle124737.52
Rajesh Gandham2121.04
T. Warburton319316.55