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Abstract:
This paper describes multithread parallel open source JAVA implementation of alternating directions isogeometric
L2 projections solver. The solver enables for fast numerical simulations of timedependent problems. To apply our solver,
the timedependent problem must be discretized using isogeometric finite element method with Bspline basis functions
in the spatial domain. The problem is solved using an explicit method with respect to time. The application of the explicit
method with Bspline based spatial discretization results in a sequence of isogeometric L2 projections that can be solved
using our fast solver. The computational cost of the solution of either 2D or 3D problem is linear O(N) in every time step.
This cost is lower than the cost of traditional multifrontal solvers, delivering O(N1.5) computational cost for 2D problems
and O(N2) computational cost for 3D problems. This cost is also lower from any iterative solver, delivering O(Nk) computational
cost, where k is the number of iterations, which depends on the particular iterative solver algorithm, and the k parameter
is also a function of N, so cannot be ignored. Our algorithm is used for numerical solution of 3D elasticity problem.
Key words: Alternating directions solver, Isogeometric L2 projections, Material science eling







GENERAL INFORMATION
Title of Journal: Computer Methods in Materials Science QUARTERLY
Title of Journal in Polish: Informatyka w Technologii Materiałów KWARTALNIK
ISSN: 16418581
Publishing House: AKAPIT
Current issue: Vol. 16, 2016, No. 2






