ALTERNATING DIRECTIONS SOLVER FOR ISOGEOMETRIC SIMULATIONS OF NON-LINEAR PROBLEMS

摘要

In this paper we present an application of Alternating Direction Solver (ADS) for solution of non-stationary PDE-s with isogeometric finite element method. We illustrate this approach by solving examplary non-stationary three-dimensional problemusing explicit Euler scheme. In particular we focus on the difficult problem of non-linear flow in heterogenous media.