دانلود گزارش کارورزی و کار آموزی

چکیده : 

We consider elliptic PDEs (partial differential equations) in the framework of isogeometric analysis, i.e.,

we treat the physical domain by means of a B-spline or NURBS mapping which we assume to be regular.

The numerical solution of the PDE is computed by means of tensor product B-splines mapped onto the

physical domain. We construct additive multilevel preconditioners and show that they are asymptotically

optimal, i.e., the spectral condition number of the resulting preconditioned stiffness matrix is independent

of h. Together with a nested iteration scheme, this enables an iterative solution scheme of

optimal linear complexity. The theoretical results are substantiated by numerical examples in two and

three space dimensions