2 papers
math.AP2024
A note on the shift theorem for the Laplacian in polygonal domains (extended version)
Jens Markus Melenk, Claudio Rojik
We present a shift theorem for solutions of the Poisson equation in a finite planar cone (and hence also on plane polygons) for Dirichlet, Neumann, and mixed boundary conditions. T…
math.NA2018
On commuting -version projection-based interpolation on tetrahedra
Jens Markus Melenk, Claudio Rojik
On the reference tetrahedron , we define three projection-based interpolation operators on , ,…