Hybrid Algorithms to Solve Linear Systems for Finite-Element Modeling of Filtration Processes

We consider a new parallel algorithm to solve systems of linear algebraic equations with band symmetric positive definite matrix, which combines computations on multi-core processors and graphics processing units. We present the results of simulation of spatial filtration of groundwater for Chernihi...

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Bibliographic Details
Published in:Cybernetics and systems analysis Vol. 51; no. 4; pp. 594 - 602
Main Authors: Baranov, A. Yu, Bilous, M. V., Sergienko, I. V., Khimich, A. N.
Format: Journal Article
Language:English
Published: New York Springer US 01.07.2015
Springer
Springer Nature B.V
Subjects:
Algebra
Algorithms
Analysis
Aquifers
Artificial Intelligence
Central processing units
Computer simulation
Control
CPUs
Cybernetics
Differential equations
Filtration
Finite element analysis
Finite element method
Linear equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrices (mathematics)
Processor Architectures
Processors
Software Engineering/Programming and Operating Systems
Studies
Systems Theory
Water filtration
finite element method
water filtration
Chernihiv aquifer
systems of linear algebraic equations
hybrid parallel algorithm
band matrix
graphic processing units
ISSN:1060-0396, 1573-8337
Online Access:Get full text
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Summary:We consider a new parallel algorithm to solve systems of linear algebraic equations with band symmetric positive definite matrix, which combines computations on multi-core processors and graphics processing units. We present the results of simulation of spatial filtration of groundwater for Chernihiv region with Nadra-3D finite-element solver.
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ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-015-9750-9