2 citations · 2 across the 5 of their papers we have counts for
5 papers
An Weak Galerkin FEM for singularly perturbed problems
Torsten Linß, Christos Xenophontos
We present the analysis for an weak Galerkin-FEM for singularly perturbed reaction-convection-diffusion problems in one-dimension. Under the analyticity of the data assumption…
A formula for the derivative of the quotient of two functions
Christos Xenophontos
As the title suggests, we give a formula for the derivative of a quotient of two functions, analogous to Leibniz's formula for the product. This particular note has remain…
On the finite element approximation of fourth order singularly perturbed eigenvalue problems
Hans-Görg Roos, Despo Savvidou, Christos Xenophontos
We consider fourth order singularly perturbed eigenvalue problems in one-dimension and the approximation of their solution by the version of the Finite Element Method (FEM). In…
Mixed FEM for singularly perturbed fourth order boundary value problems with two small parameters
C. Xenophontos, S. Franz, I. Sykopetritou
We consider fourth order singularly perturbed boundary value problems with two small parameters, and the approximation of their solution by the version of the Finite Element M…
An hp Finite Element Method for singularly perturbed transmission problems in smooth domains
Serge Nicaise, Xenophontos Christos
We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will co…