Christos Xenophontos

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 18

Top Topics

Anisotropic Diffusion

Boundary Value Problem

Partial Differential Equations

Top Venues

Comput. Math. Appl.

Comput. Methods Appl. Math.

J. Comput. Appl. Math.

Publications

Torsten Linß, Christos Xenophontos
Balanced norm estimates for rp-finite element methods applied to singularly perturbed fourth order boundary value problems. Comput. Math. Appl. 164 (2024)
Irene Sykopetritou, Christos Xenophontos
An hp finite element method for a two-dimensional singularly perturbed boundary value problem with two small parameters. J. Comput. Appl. Math. 439 (2024)
Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos
Neural Networks for Singular Perturbations. CoRR (2024)
Torsten Linß, Christos Xenophontos
Balanced norm estimates for rp-Finite Element Methods applied to singularly perturbed fourth order boundary value problems. CoRR (2023)
Philippos Constantinou, Christos Xenophontos
Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem. CoRR (2023)
Torsten Linß, Christos Xenophontos
An hp Weak Galerkin FEM for singularly perturbed problems. CoRR (2022)
Hans-Görg Roos, Despo Savvidou, Christos Xenophontos
On the Finite Element Approximation of Fourth-Order Singularly Perturbed Eigenvalue Problems. Comput. Methods Appl. Math. 22 (2) (2022)
Hans-Görg Roos, Despo Savvidou, Christos Xenophontos
On the finite element approximation of fourth order singularly perturbed eigenvalue problems. CoRR (2021)
Constantin Bacuta, Leszek F. Demkowicz, Jaime Mora, Christos Xenophontos
Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms. Comput. Math. Appl. 95 (2021)
Christos Xenophontos, S. Franz, Irene Sykopetritou
Mixed hp FEM for singularly perturbed fourth order boundary value problems with two small parameters. CoRR (2020)
Christos Xenophontos
Isogeometric analysis for singularly perturbed high-order, two-point boundary value problems of reaction-diffusion type. Comput. Math. Appl. 80 (11) (2020)
Irene Sykopetritou, Christos Xenophontos
An hp finite element method for a singularly perturbed reaction-convection-diffusion boundary value problem with two small parameters. CoRR (2019)
Philippos Constantinou, Sebastian Franz, Lars Ludwig, Christos Xenophontos
Finite element approximation of reaction-diffusion problems using an exponentially graded mesh. Comput. Math. Appl. 76 (10) (2018)
Sebastian Franz, Christos Xenophontos
A Short Note on the Connection Between Layer-Adapted Exponentially Graded and S-Type Meshes. Comput. Methods Appl. Math. 18 (2) (2018)
Philippos Constantinou, Christos Xenophontos
An hp finite element method for a 4th order singularly perturbed boundary value problem in two dimensions. Comput. Math. Appl. 74 (7) (2017)
Christos Xenophontos
A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems. Comput. Methods Appl. Math. 17 (2) (2017)
Philippos Constantinou, Charalambia Varnava, Christos Xenophontos
An hp finite element method for 4th order singularly perturbed problems. Numer. Algorithms 73 (2) (2016)
Christos Xenophontos, Sebastian Franz, Lars Ludwig
Finite element approximation of convection-diffusion problems using an exponentially graded mesh. Comput. Math. Appl. 72 (6) (2016)
Philippos Constantinou, Christos Xenophontos
Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems. Comput. Methods Appl. Math. 15 (2) (2015)
Serge Nicaise, Christos Xenophontos
Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method. Comput. Methods Appl. Math. 13 (1) (2013)
Jens Markus Melenk, Christos Xenophontos, Lisa Oberbroeckling
Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales. Adv. Comput. Math. 39 (2) (2013)
Evgenia Christodoulou, Miltiades Elliotis, Christos Xenophontos, Georgios C. Georgiou
The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity. Appl. Math. Comput. 219 (3) (2012)
Christos Xenophontos, Jens Markus Melenk, Niall Madden, Lisa Oberbroeckling, Pandelitsa Panaseti, Antri Zouvani
hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems. NAA (2012)
Evgenia Christodoulou, Christos Xenophontos, Georgios C. Georgiou
The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections. Appl. Math. Comput. 217 (6) (2010)
Christos Xenophontos, Evgenia Christodoulou, Georgios C. Georgiou
The Singular Function Boundary Integral Method for Laplacian problems with boundary singularities in two and three-dimensions. ICCS (1) (2010)
Serge Nicaise, Christos Xenophontos
Finite element methods for a singularly perturbed transmission problem. J. Num. Math. 17 (4) (2009)
Christos Xenophontos
The hp finite element method for singularly perturbed systems of reaction-diffusion equations. Neural Parallel Sci. Comput. 16 (3) (2008)
Christos Xenophontos, Lisa Oberbroeckling
A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems. Appl. Math. Comput. 187 (2) (2007)
Christos Xenophontos, Miltiades Elliotis, Georgios C. Georgiou
A Singular Function Boundary Integral Method for Laplacian Problems with Boundary Singularities. SIAM J. Sci. Comput. 28 (2) (2006)
Christos Xenophontos
Methods. J. Sci. Comput. 27 (1-3) (2006)
Miltiades Elliotis, Georgios C. Georgiou, Christos Xenophontos
Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the p/hp version of the finite element method. Appl. Math. Comput. 169 (1) (2005)
Christos Xenophontos
A note on the convergence rate of the finite element method for singularly perturbed problems using the Shishkin mesh. Appl. Math. Comput. 142 (2-3) (2003)