@article{Łoś_Paszyński_2017, title={Applications of Alternating Direction Solver for simulations of time-dependent problems}, volume={18}, url={https://journals.agh.edu.pl/csci/article/view/1857}, DOI={10.7494/csci.2017.18.2.117}, abstractNote={<p>This paper deals with application of Alternating Direction solver (ADS) to nonstationary<br />linear elasticity problem solved with isogeometric FEM. Employing<br />tensor product B-spline basis in isogeometric analysis under some restrictions<br />leads to system of linear equations with matrix possessing tensor product structure.<br />Alternating Direction Implicit algorithm is a direct method that exploits<br />this structure to solve the system in O (N ), where N is a number of degrees<br />of freedom (basis functions). This is asymptotically faster than state-of-theart<br />general purpose multi-frontal direct solvers. In this paper we also present<br />the complexity analysis of ADS incorporating dependence on order of B-spline<br />basis.</p>}, number={2}, journal={Computer Science}, author={Łoś, Marcin Mateusz and Paszyński, Maciej}, year={2017}, month={Jun.}, pages={117} }