Paper Info
Title
Grammar Based Multi-Frontal Solver For Isogeometric Analysis In 1d
Abstract
In this paper, we present a multi-frontal direct solver for one-dimensional isogeometric finite element method. The solver implementation is based on the graph grammar (GG) model. The GG model allows us to express the entire solver algorithm, including generation of frontal matrices, merging, and eliminations as a set of basic undividable tasks called graph grammar productions. Having the solver algorithm expressed as GG productions, we can find the partial order of execution and create a dependency graph, allowing for scheduling of tasks into shared memory parallel machine. We focus on the implementation of the solver with NVIDIA CUDA on the graphic processing unit (GPU). The solver has been tested for linear, quadratic, cubic, and higher-order B-splines, resulting in logarithmic scalability.
Year
DOI
Venue
2013
10.7494/csci.2013.14.4.589
COMPUTER SCIENCE-AGH
Keywords
DocType
Volume
graph grammar, direct solver, isogeometric finite element method, NVIDIA CUDA GPU
Journal
14
Issue
ISSN
Citations 
4
1508-2806
2
PageRank 
References 
Authors
0.44
9
3
Name
Order
Citations
PageRank
krzysztof kuźnik1142.22
Maciej Paszynski219336.89
Victor M. Calo319138.14