| Summary: | In this paper are analyzed finite element methods based on Powell-Sabin splines, for the
solution of partial differential equations in two dimensions. PS splines are piecewise
quadratic polynomials defined on a triangulation of the domain, and exhibit a global
C1 continuity. Critical issues when
dealing with PS splines, and described in this work, are the construction of the shape
functions and the imposition of the boundary conditions. The PS finite element method is
used at first to solve an elliptic problem describing plasma equilibrium in a tokamak.
Finally, a transient convective problem is also considered, and a stabilized formulation
is presented.
|
|---|