A note on the convergence rate of the finite element method for singularly perturbed problems using the Shishkin mesh. - Christos Xenophontos (Appl. Math. Comput., 2003)

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. - Miltiades Elliotis; Georgios C. Georgiou; Christos Xenophontos (Appl. Math. Comput., 2005)

Special boundary approximation methods for laplace equation problems with boundary singularities - Applications to the motz problem. - Zi-Cai Li; Y. L. Chan; Georgios C. Georgiou; Christos Xenophontos (Comput. Math. Appl., 2006)

The Use of Curved Elements in the Finite Element Approximation of Thin Plates by High Order p and hp Methods. - Christos Xenophontos (J. Sci. Comput., 2006)

A Singular Function Boundary Integral Method for Laplacian Problems with Boundary Singularities. - Christos Xenophontos; Miltiades Elliotis; Georgios C. Georgiou (SIAM J. Sci. Comput., 2006)

A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems. - Christos Xenophontos; Lisa Oberbroeckling (Appl. Math. Comput., 2007)

The hp finite element method for singularly perturbed systems of reaction-diffusion equations. - Christos Xenophontos (Neural Parallel Sci. Comput., 2008)

Finite element methods for a singularly perturbed transmission problem. - Serge Nicaise; Christos Xenophontos (J. Num. Math., 2009)

The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections. - Evgenia Christodoulou; Christos Xenophontos; Georgios C. Georgiou (Appl. Math. Comput., 2010)

The Singular Function Boundary Integral Method for Laplacian problems with boundary singularities in two and three-dimensions. - Christos Xenophontos; Evgenia Christodoulou; Georgios C. Georgiou (ICCS, 2010)

hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems. - Christos Xenophontos; Jens Markus Melenk; Niall Madden; Lisa Oberbroeckling; Pandelitsa Panaseti; Antri Zouvani (NAA, 2012)

The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity. - Evgenia Christodoulou; Miltiades Elliotis; Christos Xenophontos; Georgios C. Georgiou (Appl. Math. Comput., 2012)

Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales. - Jens Markus Melenk; Christos Xenophontos; Lisa Oberbroeckling (Adv. Comput. Math., 2013)

Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method. - Serge Nicaise; Christos Xenophontos (Comput. Methods Appl. Math., 2013)

Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems. - Philippos Constantinou; Christos Xenophontos (Comput. Methods Appl. Math., 2015)

Finite element approximation of convection-diffusion problems using an exponentially graded mesh. - Christos Xenophontos; Sebastian Franz; Lars Ludwig (Comput. Math. Appl., 2016)

An hp finite element method for 4th order singularly perturbed problems. - Philippos Constantinou; Charalambia Varnava; Christos Xenophontos (Numer. Algorithms, 2016)

An hp finite element method for a 4th order singularly perturbed boundary value problem in two dimensions. - Philippos Constantinou; Christos Xenophontos (Comput. Math. Appl., 2017)

A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems. - Christos Xenophontos (Comput. Methods Appl. Math., 2017)

Finite element approximation of reaction-diffusion problems using an exponentially graded mesh. - Philippos Constantinou; Sebastian Franz; Lars Ludwig; Christos Xenophontos (Comput. Math. Appl., 2018)

A Short Note on the Connection Between Layer-Adapted Exponentially Graded and S-Type Meshes. - Sebastian Franz; Christos Xenophontos (Comput. Methods Appl. Math., 2018)

An hp finite element method for a singularly perturbed reaction-convection-diffusion boundary value problem with two small parameters. - Irene Sykopetritou; Christos Xenophontos (CoRR, 2019)

Isogeometric analysis for singularly perturbed high-order, two-point boundary value problems of reaction-diffusion type. - Christos Xenophontos (Comput. Math. Appl., 2020)

Mixed hp FEM for singularly perturbed fourth order boundary value problems with two small parameters. - Christos Xenophontos; S. Franz; Irene Sykopetritou (CoRR, 2020)

Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms. - Constantin Bacuta; Leszek F. Demkowicz; Jaime Mora; Christos Xenophontos (Comput. Math. Appl., 2021)

On the Finite Element Approximation of Fourth-Order Singularly Perturbed Eigenvalue Problems. - Hans-Görg Roos; Despo Savvidou; Christos Xenophontos (Comput. Methods Appl. Math., 2022)

An hp Weak Galerkin FEM for singularly perturbed problems. - Torsten Linß; Christos Xenophontos (CoRR, 2022)

Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem. - Philippos Constantinou; Christos Xenophontos (CoRR, 2023)

Preface. - Georgios C. Georgiou; Ernst Rank; Zohar Yosibash; Christos Xenophontos (Comput. Math. Appl., 2024)

Balanced norm estimates for rp-finite element methods applied to singularly perturbed fourth order boundary value problems. - Torsten Linß; Christos Xenophontos (Comput. Math. Appl., 2024)

Neural Networks for Singular Perturbations. - Joost A. A. Opschoor; Christoph Schwab; Christos Xenophontos (CoRR, 2024)

An hp finite element method for a two-dimensional singularly perturbed boundary value problem with two small parameters. - Irene Sykopetritou; Christos Xenophontos (J. Comput. Appl. Math., 2024)