Πλοήγηση Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics ανά Συγγραφέα "Franz, S."
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Article
Finite element approximation of convection–diffusion problems using an exponentially graded mesh
Xenophontos, Christos A.; Franz, S.; Ludwig, L. (2016)We present the analysis of an h version Finite Element Method for the approximation of the solution to convection–diffusion problems. The method uses piece-wise polynomials of degree p≥1, defined on an exponentially graded ...
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Article
Finite element approximation of reaction–diffusion problems using an exponentially graded mesh
Constantinou, P.; Franz, S.; Ludwig, L.; Xenophontos, C. (2018)We present the analysis of an h version Finite Element Method for the approximation of the solution to singularly perturbed reaction–diffusion problems posed in smooth domains Ω⊂R2. The method uses piecewise polynomials ...
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Article
A mixed hp FEM for the approximation of fourth-order singularly perturbed problems on smooth domains
Constantinou, P.; Franz, S.; Ludwig, L.; Xenophontos, Christos (2019)We consider fourth-order singularly perturbed problems posed on smooth domains and the approximation of their solution by a mixed Finite Element Method on the so-called Spectral Boundary Layer Mesh. We show that the method ...