Paper Info
Title
Grammar-Based Multi-Frontal Solver For One Dimensional Isogeometric Analysis With Multiple Right-Hand-Sides
Abstract
This paper introduces a grammar-based model for developing a multi-thread multi-frontal parallel direct solver for one-dimensional isogeometric finite element method. The model includes the integration of B-splines for construction of the element local matrices and the multi-frontal solver algorithm. The integration and the solver algorithm are partitioned into basic indivisible tasks, namely the grammar productions, that can be executed squentially. The partial order of execution of the basic tasks is analyzed to provide the scheduling for the execution of the concurrent integration and multi-frontal solver algorithm. This graph grammar analysis allows for optimal concurrent execution of all tasks. The model has been implemented and tested on NVIDIA CUDA GPU, delivering logarithmic execution time for linear, quadratic, cubic and higher order B-splines. Thus, the CUDA implementation delivers the optimal performance predicted by our graph grammar analysis. We utilize the solver for multiple right hand sides related to the solution of non-stationary or inverse problems.
Year
DOI
Venue
2013
10.1016/j.procs.2013.05.325
2013 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE
Keywords
Field
DocType
graph grammar, direct solver, isogeometric finite element method, NVIDIA CUDA GPU
Frontal solver,Scheduling (computing),Isogeometric analysis,CUDA,Computer science,Parallel computing,Quadratic equation,Finite element method,Grammar,Computational science,Solver
Conference
Volume
ISSN
Citations 
18
1877-0509
2
PageRank 
References 
Authors
0.46
7
3
Name
Order
Citations
PageRank
krzysztof kuźnik1142.22
Maciej Paszynski219336.89
Victor M. Calo319138.14