Anisotropic polygonal and polyhedral discretizations in finite element analysis
Anisotropic polygonal and polyhedral discretizations in finite element analysis
Interpolation and quasi-interpolation operators of Clément- and Scott-Zhang-type are analyzed on anisotropic polygonal and polyhedral meshes. Since no reference element is available, an appropriate linear mapping to a reference configuration plays a crucial role. A priori error estimates are derived respecting the anisotropy of the discretization. Finally, the found estimates …