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Dynamics with matrices possessing kronecker product structure

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Authors
Los, M.
Wozniak, M.
Paszynski, M.
Dalcin, L.
Calo, Victor
Date
2015
Type
Conference Paper

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Los, M. and Wozniak, M. and Paszynski, M. and Dalcin, L. and Calo, V. 2015. Dynamics with matrices possessing kronecker product structure. Procedia Computer Science. 51: pp. 286-295.
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Procedia Computer Science
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Department of Applied Geology
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Paper presented at International Conference On Computational Science, ICCS 2015: Computational Science at the Gates of Nature

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Abstract

In this paper we present an application of Alternating Direction Implicit (ADI) algorithm for solution of non-stationary PDE-s using isogeometric finite element method. We show that ADI algorithm has a linear computational cost at every time step. We illustrate this approach by solving two example non-stationary three-dimensional problems using explicit Euler and Newmark time-stepping scheme: heat equation and linear elasticity equations for a cube. The stability of the simulation is controlled by monitoring the energy of the solution.

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