KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
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AbstractIn 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.
CitationDynamics with Matrices Possessing Kronecker Product Structure 2015, 51:286 Procedia Computer Science
JournalProcedia Computer Science
Conference/Event nameInternational Conference on Computational Science, ICCS 2002