List of Publications

1. Fully discrete nonconforming finite element schemes for the nonstationary Navier--Stokes equations, East-West Journal of Numerical Mathematics vol.6 no.4 pp.273-298, 1998, (ps).
2. Modified structured central schemes for 2D hyperbolic conservation laws (with D.Levy), Applied Math. Letters vol.12 no.6 pp.89-96, 1999, (ps).
3. High frequency limit of the Helmholtz equations, (with JD. Benamou, F. Castela, B. Perthame), Séminaire: Équations aux Dérivées Partielles, 1999--2000, Exp. No. V, 27 pp., Sémin. Équ. Dériv. Partielles, École Polytech., Palaiseau, 2000, (ps).
   
4. A discontinuous Galerkin method for the incompressible Navier-Stokes equations,(with O. Karakashian), Proceedings of the International Symposium on the discontinuous Galerkin method, B. Cockburn, G.E. Karniadakis, C-W. Shu (eds). Springer Lecture Notes in Computational Science and Engineering 11, pp.157--166, 2000 (Invited paper), (ps).
5. Finite volume relaxation schemes for the multidimensional conservation laws, (with Ch. Makridakis), Mathematics of Computation, vol.70, no 234, pp.533-553, 2001, (ps).
6. Computation of High Frequency Fields near Caustics, (with G. Kosioris, G. Makrakis), Mathematical Methods and Models in Applied Sciences (M3AS), vol. 11, no 2, pp.199-228, 2001, (pdf).
7. Adaptive Finite Element Relaxation Schemes for Hyperbolic Conservation Laws, (with Ch. Arvanitis, Ch. Makridakis), Mathematical Modelling and Numerical Analysis,(M2AN), vol. 35, no 1, pp.17-34, 2001, (pdf).
8. High frequency limit of Helmholtz equations, (with JD. Benamou, F. Castela, B. Perthame), Revista Matematica Iberoamericana, vol. 18, pp.187-209, 2002, (ps).
9. Relaxation Schemes for the Shallow Water equations,(with A.I.Delis), Int. J. for Numerical Methods in Fluids, vol. 41, no. 7 pp.695-719, 2003(pdf).
10. High Frequency Waves near Cusp Caustics, (with E. Kalligianaki, G. Makrakis), Quarterly of Applied Mathematics, vol LXI, no. 1, pp. 111-129, 2003, (ps).
11. Upwinding sources at interfaces in conservation laws, (with B. Perthame, C. Simeoni), Applied Mathematics Letters vol. 17, pp.309-316, 2004 (pdf).
12. Relaxation models and finite element schemes for the shallow water equation, (with Ch. Makridakis), Hyperbolic Problems: Theory, Numerics, Applications, T.Hou, E.Tadmor Eds, (Proceedings HYP2002), Springer Verlag 2003, (ps).
13. Second order approximation of the viscous Saint-Venant system and comparison with experiments, (with C. Simeoni), Hyperbolic Problems: Theory, Numerics, Applications, T.Hou, E.Tadmor Eds, (Proceedings HYP2002), Springer Verlag 2003, (ps).
    
14. Computational methods for 2D shallow water flows based on relaxation schemes, (with A.I. Delis), Proceedings HERCMA 2003 (pdf).
    
15. A generalized relaxation method for transport and diffusion of pollutant models in shallow water, (with A.I. Delis), Computational Methods in Applied Mathematics, vol. 4, no. 4, pp.410-430, 2004 (pdf).
16. First and Second order Estimates for the Upwind Source at Interface Method, (with C. Simeoni), Mathematics of Computation, vol. 74, no. 249, pp. 103-122, 2005 (pdf).
17. Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods, (with A.I. Delis), Applied Mathematical Modelling,vol. 29, no. 8,pp.754-783,2005 (pdf).
18. Relaxation approximations to shallow water and pollutant transport equations , (with A.I. Delis), Proceedings 17th IMACS 2005 (pdf).
    
19. A finite element method computing shear band formation,(with Th. Baxevanis, A. Tzavaras), Hyperbolic Problems: Theory, Numerics, Applications (Proceedings HYP2004),vol. I, pp.295-302, Yokohama Publishers, 2006. (pdf).
20. Numerical Simulation of Incompressible Fluid Flow using locally Solenoidal Elements, (with O. Karakashian), Computer & Mathematics with Applications, vol. 51, no. 9-10, pp. 1571-1570, 2006 (pdf).
21. Stability and convergence of relaxation finite element schemes for the incompressible Navier-Stokes equations, (with Ch. Makridakis, C. Simeoni), Hyperbolic Problems: Theory, Numerics, Applications (Proceedings HYP2004), vol. II, pp.87-92, Yokohama Publishers, 2006. (pdf).
22. Load capacity and rupture displacement in viscoelastic fiber bundles, (with Th. Baxevanis), Physical Review E, vol. 75, no.4, 2007 (pdf).
23. Burst avalanches and inter-occurrence times in creep rupture , (with Th. Baxevanis), Europhysics Letters, vol. 81, no. 2, 2008 (pdf).
24. Scaling of the size and temporal occurrence of burst sequences in creep rupture of fiber bundles , (with Th. Baxevanis), European Physical Journal B, vol. 61, no.2, pp.153-157, 2008 (pdf).
25. Effective equations for localization and shear band formation , (with A. Tzavaras), SIAM Journal of Applied Mathematics, vol.69, no.6, pp.1618-1643,2009 (pdf).
26. Adaptive finite element computations of shear band formation , (with Th. Baxevanis, A. Tzavaras), M3AS, vol. 20, no.3, pp.423-448, 2010 (pdf).
27. Localization and Shear Bands in High Strain Plasticity, (with A. Tzavaras), IMA Proceedings, "Nonlinear Conservation Laws and Applications", vol. 153, pp. 365-378, 2010 (pdf).
28. Finite volume schemes for Boussinesq type equations, (with with D. Dutykh and D. Mitsotakis), Proceedings of Colloque EDP-Normandie, Caen, France, pp. 15-21, 2011 (pdf).
29. Finite volume schemes for dispersive wave propagation and runup , (with D. Dutykh and D. Mitsotakis), Journal of Computational Physics, vol. 230, no. 8, pp. 3035-3061, 2011 (pdf).
30. Dispersive wave runup on non-uniform shores, (with with D. Dutykh and D. Mitsotakis), Finite volumes for complex application VI – Problems & Perspectives. Springer Proceedings in Mathematics, vol. 4, pp. 389 - 397, 2011 (pdf).
31. Three-points interfacial quadrature for geometrical source terms on nonuniform grids , (with Ch. Simeoni), Calcolo, vol. 49, no.3, pp.149-176, 2012 (pdf).
32. Finite volume methods for iunidirectional dispersive wave model , (with D. Dutykh and D. Mitsotakis), Int. J. for Num. Methods in Fluids, vol. 71, pp. 717-736, 2013 (pdf).
33. On of the Performance of the WRF Numerical Model over Complex Terrain on a High Performance Computing Cluster, (with with N. Christakis, G. Kossioris and M. Plexousakis), HPCC 2014, The 16th IEEE International Conference on High Performance Computing and Communications, Paris, France 2014 (pdf).
34. A posteriori error control & adaptivity for Crank-Nicolson finite element approximations for the linear Schrodinger equation , (with I. Kyza), Numerische Mathematik, vol. 129, no. 1, pp. 55-90, 2015 (pdf)
35. Regularized semiclassical limits: linear flows with infinite Lyapunov exponents , (with A. Athanassoulis and I. Kyza), Communications in Math Sciences, vol. 14, no. 7, pp. 1821-1858, 2016(pdf).
36. On the reflection of solitons of the cubic nonlinear Schrodinger equation , (with D. Mitsotakis), Mathematical Methods in Applied Sciences, 2016 (pdf).
37. Localization in inelastic rate dependent shearing deformations , (with M-G. Lee and A. Tzavaras), Journal of the Mechanics and Physics of Solids, vol. 98, no.1, pp. 106-125, 2017 (pdf).
38. Emergence of coherent localized structures in shear deformations of temperature dependent fluids, (with A. Tzavaras and J. Olivier), Archive for Rational Mechanics and Analysis , vol.224, no.1, pp.173-208, 2017 (arxiv)
39. Localization of Adiabatic Deformations in Thermoviscoplastic Materials , (with M-G. Lee and A. Tzavaras), (Proceeding of HYP2016, II, pp.269-280) (pdf).
40. 2D Simulation and performance evaluation of bifacial rear local contact c-Si solar cells under variable illumination conditions, (with K. Kotsovos, I. Gereige, A. Al-Saggaf, and A. Tzavaras), Solar Energy, vol.158, no.1, pp.34-41, 2017 (pdf)
41. A posteriori error analysis for evolution nonlinear Scrodinger equations up to critical exponent. (with I. Kyza), SIAM J. Num. Analysis, vol.56, no.3, pp.1405-1434, 2018,(pdf).
42. Localization in adiabatic shear flow via geometric theory of singular perturbations, (with MG. Lee and A. Tzavaras), Journal of Nonlinear Science, March 2019,(pdf).
43. Performance evaluation of bifacial c-Si solar cells under actual conditions through 2D device simulations and outdoor measurements, (with K. Kotsovos, I. Gereige, A. Basaheeh, M. Abdullah, A. Khayat, E. Al-Habshi, A. Al-Saggaf, and A. Tzavaras), Renewable Energy, vol.143, pp.1285-1298, 2019 (pdf)
44. Performance Assessment of various PV module types under desert conditions through device simulations and outdoor measurements , (with K. Kotsovos, I. Gereige, A. Basaheeh, M. Abdullah, A. Khayat, E. Al-Habshi, A. Al-Saggaf, and A. Tzavaras), (Proceeding of 36th European Photovoltaic Solar Energy Conference and Exhibition(EUPVSEC2019), pp.874-879, 2019) (pdf).
45. Boussinesq-Peregrine water wave models and their numerical approximation, (D.Mitsotakis and G. Sadaka), Journal of Computational Physics vol.417, 109579, 2020 (pdf)
46. Seasonal Performance Assesment of Various PV Technologies in a Desert Climate Through Device Simulations and Outdoor Measurements , (with K. Kotsovos, I. Gereige, A. Basaheeh, M. Abdullah, A. Khayat, E. Al-Habshi, A. Al-Saggaf, and A. Tzavaras), (Proceeding of 37th European Photovoltaic Solar Energy Conference and Exhibition(EUPVSEC2020),1112-1116,2020) (pdf).
47. A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis, (with S.Israwi, H. Kalisch, and D.Mitsotakis), Nonlinearity vol.35,no.1 750-786, 2022
48. A posteriori error estimators for discontinuous Galerkin method for diffusion problems, based on the hypercircle method , (with D. AlSheikh) Arabian Journal of Mathematics, 2022
49. Estimating Solar Cell Operating Temperature via Deep Neural Networks , (with G. Papadomichelakis, K. Kotsovos, I. Gereige, M. Abdullah, A. Jamal and A. Tzavaras), (Proceeding of 39th European Photovoltaic Solar Energy Conference and Exhibition(EUPVSEC2022), 8th World Conference on Photovoltaic Energy Conversion(8th WCPEC),629-631,2022) (pdf).
50. Day-Ahead Forecasting of Solar Irradiance: KNN-Based Ensembles , (with Y. Kamarianakis, Y. Pantazis, E. Kalligiannaki, K. Kotsovos, I. Gereige, M. Abdullah, A. Tzavaras), (Proceeding of 39th European Photovoltaic Solar Energy Conference and Exhibition(EUPVSEC2022), 8th World Conference on Photovoltaic Energy Conversion(8th WCPEC),1248-1252,2022) (pdf).
51. Performance Evaluation and Comparison of Solar Cell Technologies Based on Historical Data , (with Y. Pantazis, E. Kalligiannaki, Y. Kamarianakis, K. Kotsovos, I. Gereige, M. Abdullah, A. Tzavaras), (Proceeding of 39th European Photovoltaic Solar Energy Conference and Exhibition(EUPVSEC2022), 8th World Conference on Photovoltaic Energy Conversion(8th WCPEC),691-694,2022) (pdf).
52. Efficiency Evaluation and Comparisons of Solar Cell Technologies Based on Measurements from the Arabian Peninsula , (with Y. Pantazis, E. Kalligiannaki, Y. Kamarianakis, K. Kotsovos, I. Gereige, M. Abdullah, A. Jamal, A. Tzavaras), (Proceedings of EuroSun2022, Kassel, Germany,2022) (pdf).
53. KNN-Based Ensembles for Day-Ahead Forecasting of Solar Power Outputs , (with Y. Pantazis, E. Kalligiannaki, Y. Kamarianakis, K. Kotsovos, I. Gereige, M. Abdullah, A. Jamal, A. Tzavaras), (Proceedings of EuroSun2022, Kassel, Germany,2022) (pdf).
54. Day-Ahead Forecasting of Solar Irradiance & PV Power Output Through Statistical Machine Learning Methods , (with Y. Pantazis, E. Kalligiannaki, Y. Kamarianakis, K. Kotsovos, I. Gereige, M. Abdullah, A. Jamal, A. Tzavaras), (2022 Saudi Arabia Smart Grid (SASG), Riyadh, Saudi Arabia, 2022, pp. 1-5) (pdf).
55. A novel, structure-preserving, second-order-in-time relaxation scheme for Schrodinger-Poisson systems, (with A. Athanassoulis, I. Kyza, and S. Metcalfe) Journal of Computational Physics(JCP),vol.490,112307, 2023
56. Self-similar axisymmetric flows with swirl , (with I. Mousikou and A. Tzavaras), (Proceedings HYP2022) (pdf).
57. Robust day-ahead solar forecasting with endogenous data and sliding windows (with Y. Kamarianakis, Y. Pantazis, E. Kalligiannaki, K. Kotsovos, I. Gereige, M. Abdullah, A. Jamal, A. Tzavaras), Journal of Renewable and Sustainable Energy(JRSE),vol.16, no.2, 2024
58. Axisymmetric Flows with Swirl for Euler and Navier--Stokes Equations , (with I. Mousikou and A. Tzavaras), Journal of Nonlinear Science, vol. 34, no.86, 2024
59. Efficient numerical approximations for a non conservative nonlinear Schrodinger equation appearing in wind-forced ocean waves , (with A. Athanassoulis and I. Kyza), Studies in Applied Mathematics, vol. 153, no.4, 2024