Paper Info
Title
Telescopic Hybrid Fast Solver For 3d Elliptic Problems With Point Singularities
Abstract
This paper describes a telescopic solver for two dimensional h adaptive grids with point singularities. The input for the telescopic solver is an h refined two dimensional computational mesh with rectangular finite elements. The candidates for point singularities are first localized over the mesh by using a greedy algorithm. Having the candidates for point singularities, we execute either a direct solver, that performs multiple refinements towards selected point singularities and executes a parallel direct solver algorithm which has logarithmic cost with respect to refinement level. The direct solvers executed over each candidate for point singularity return local Schur complement matrices that can be merged together and submitted to iterative solver. In this paper we utilize a parallel multi-thread GALOIS solver as a direct solver. We use Incomplete LU Preconditioned Conjugated Gradients (ILUPCG) as an iterative solver. We also show that elimination of point singularities from the refined mesh reduces significantly the number of iterations to be performed by the ILUPCG iterative solver.
Year
DOI
Venue
2015
10.1016/j.procs.2015.05.415
INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, ICCS 2015 COMPUTATIONAL SCIENCE AT THE GATES OF NATURE
Keywords
Field
DocType
hybrid solver, multi-frontal solver, h adaptive finite element method, ILUPCG, GALOS
Mathematical optimization,Computer science,Matrix (mathematics),Singularity,Finite element method,Greedy algorithm,Gravitational singularity,Solver,Logarithm,Schur complement
Conference
Volume
ISSN
Citations 
51
1877-0509
1
PageRank 
References 
Authors
0.39
8
10
Name
Order
Citations
PageRank
Anna Paszyńska112517.77
Konrad Jopek2254.44
Krzysztof Banas3285.80
Maciej Paszynski419336.89
Piotr Gurgul5254.95
Andrew Lenerth610.39
Donald Nguyen741917.94
Keshav Pingali83056256.64
Lisandro Dalcín912818.25
Victor M. Calo1019138.14