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ORCIDChristos Xenophontos
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2020 – today
- 2024
[j24]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: 95-103 (2024)- [j23]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: 115620 (2024) - [i7]Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos:
Neural Networks for Singular Perturbations. CoRR abs/2401.06656 (2024) - 2023
- [i6]Torsten Linß, Christos Xenophontos:
Balanced norm estimates for rp-Finite Element Methods applied to singularly perturbed fourth order boundary value problems. CoRR abs/2309.10387 (2023) - [i5]Philippos Constantinou, Christos Xenophontos:
Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem. CoRR abs/2311.06849 (2023) - 2022
- [j22]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): 465-476 (2022) - [i4]Torsten Linß, Christos Xenophontos:
An hp Weak Galerkin FEM for singularly perturbed problems. CoRR abs/2211.04224 (2022) - 2021
- [j21]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: 215-241 (2021) - [i3]Hans-Görg Roos, Despo Savvidou, Christos Xenophontos:
On the finite element approximation of fourth order singularly perturbed eigenvalue problems. CoRR abs/2107.06553 (2021) - 2020
- [j20]Christos Xenophontos:
Isogeometric analysis for singularly perturbed high-order, two-point boundary value problems of reaction-diffusion type. Comput. Math. Appl. 80(11): 2340-2350 (2020) - [i2]Christos Xenophontos, S. Franz, Irene Sykopetritou:
Mixed hp FEM for singularly perturbed fourth order boundary value problems with two small parameters. CoRR abs/2008.01804 (2020)
2010 – 2019
- 2019
- [i1]Irene Sykopetritou, Christos Xenophontos:
An hp finite element method for a singularly perturbed reaction-convection-diffusion boundary value problem with two small parameters. CoRR abs/1909.01243 (2019) - 2018
- [j19]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): 2523-2534 (2018) - [j18]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): 199-202 (2018) - 2017
- [j17]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): 1565-1575 (2017) - [j16]Christos Xenophontos:
A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems. Comput. Methods Appl. Math. 17(2): 337 (2017) - 2016
- [j15]Christos Xenophontos, Sebastian Franz, Lars Ludwig:
Finite element approximation of convection-diffusion problems using an exponentially graded mesh. Comput. Math. Appl. 72(6): 1532-1540 (2016) - [j14]Philippos Constantinou, Charalambia Varnava, Christos Xenophontos:
An hp finite element method for 4th order singularly perturbed problems. Numer. Algorithms 73(2): 567-590 (2016) - 2015
- [j13]Philippos Constantinou, Christos Xenophontos:
Finite Element Analysis of an Exponentially Graded Mesh for Singularly Perturbed Problems. Comput. Methods Appl. Math. 15(2): 135-143 (2015) - 2013
- [j12]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): 367-394 (2013) - [j11]Serge Nicaise, Christos Xenophontos:
Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method. Comput. Methods Appl. Math. 13(1): 21-37 (2013) - 2012
- [j10]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): 1073-1081 (2012) - [c2]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: 532-539 - 2010
- [j9]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): 2773-2787 (2010) - [c1]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 2010: 2589-2597
2000 – 2009
- 2009
- [j8]Serge Nicaise, Christos Xenophontos:
Finite element methods for a singularly perturbed transmission problem. J. Num. Math. 17(4): 245-275 (2009) - 2008
- [j7]Christos Xenophontos:
The hp finite element method for singularly perturbed systems of reaction-diffusion equations. Neural Parallel Sci. Comput. 16(3): 337-352 (2008) - 2007
- [j6]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): 1351-1367 (2007) - 2006
- [j5]Zi-Cai Li, Y. L. Chan, Georgios C. Georgiou, Christos Xenophontos:
Special boundary approximation methods for laplace equation problems with boundary singularities - Applications to the motz problem. Comput. Math. Appl. 51(1): 115-142 (2006) - [j4]Christos Xenophontos:
The Use of Curved Elements in the Finite Element Approximation of Thin Plates by High Order p and hp Methods. J. Sci. Comput. 27(1-3): 465-476 (2006) - [j3]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): 517-532 (2006) - 2005
- [j2]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): 485-499 (2005) - 2003
- [j1]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): 545-559 (2003)
Coauthor Index
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