Spectral element discretization of the circular driven cavity, part II: The bilaplacian equation

This paper deals with the spectral element discretization of the bilaplacia n equation in a disk with discontinuous boundary data. Relying on an approp riate variational formulation, we propose a discrete problem and prove its convergence. The use of weighted Sobolev spaces to treat the discontinuity of the boundary conditions also allows for improving the order of convergen ce. The results of the numerical experiments we present are in agreement wi th the theoretical ones.