Dynamics with Matrices Possessing Kronecker Product Structur

M. LOS; M. WOZNIAK; M. PASZYNSKI; LISANDRO DALCÍN; VICTOR M. CALO

Reykjavík

Conferencia; International Conference on Computational Science, ICCS 2015 - Computational Science at the Gates of Nature; 2015

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.