Name
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.procs.2015.05.243 | Procedia Computer Science |
Keywords | DocType | Volume |
Isogeometric finite element method,Non-stationary problems,Alternating direction solver,Linear computational cost | Conference | 51 |
ISSN | Citations | PageRank |
1877-0509 | 6 | 0.66 |
References | Authors | |
2 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marcin Los | 1 | 18 | 4.56 |
| M. Wozniak | 2 | 27 | 7.48 |
| Maciej Paszynski | 3 | 193 | 36.89 |
| Lisandro Dalcín | 4 | 128 | 18.25 |
| Victor M. Calo | 5 | 191 | 38.14 |