A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
Clement-type interpolation on spherical domains--interpolation error estimates and application to a posteriori error estimation
IMA Journal of Numerical Analysis
In this paper, a mixed boundary value problem for the Laplace-Beltrami operator is considered for spherical domains in IR 3 , i.e. for domains on the unit sphere. These domains are parametrized by spherical coordinates (ϕ, θ), such that functions on the unit sphere are considered as functions in these coordinates. Careful investigation leads to the introduction of a proper finite element space corresponding to an isotropic triangulation of the underlying domain on the unit sphere. Errordoi:10.1093/imanum/drh024 fatcat:ivf3xu742jdvvgnpx3p7si54me