PUBLICATIONS

Papers under preparation and under review.

• I. Toulopoulos,   Numerical solutions of quasilinear parabolic  problems by a continuous space-time finite element  scheme,  under review 2021

• S nakov and I. Toulopoulos, Convergence estimates of finite elements for a class of quasilinear elliptic problems, under review 2020

Papers in Journals, in Volumes and Refereed Articles in Collections

1. U. Langer and A. Mantzaflaris and S. E. Moore and I. Toulopoulos. Multipatch Discontinuous Galerkin Isogeometric      Analysis pag. 1–32,Vol 107,(2015) In series: Lecture Notes in Computational Science and Engineering, Springer    International Publishing, Heidelberg Editors:Bert Jüttler and Bernd Simeon  

2. U. Langer and M. Neumüller and I. Toulopoulos. Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion       Problems (2017) to be appear ,In series: Lecture Notes in Computer Science, Springer International Publishing,       Heidelberg Editors: I. Lirkov and S. Margenov

3. I. Toulopoulos and J. A. Ekaterinaris Implementation of Characteristic boundary conditions to the discontinuous       Galerkin Method, 44th AIAA Aerospace Science Meeting and Exhibit, 2006, AIAA paper 0108.

4. I. Toulopoulos and J. A. Ekaterinaris. Discontinuous Galerkin Discretizations for Viscous Flow Problems in Complex        Domains, 43th AIAA Aerospace Science Meeting and Exhibit, 2005, AIAA paper 1265.

5. I. Toulopoulos and J. A. Ekaterinaris High resolution Compressible flow Simulations with the discontinuous Galerkin  Method, 17th AIAA Computational Fluid Dynamics Conference, 6-9 June 2005, Toronto Canada, AIAA paper  5109.

6. I. Toulopoulos, A unified space-time finite element scheme for a quasilinear parabolic problem, Appl. Numer. Math. 214 (2025) 127–142

7.  I. Toulopoulos, SUPG space-time scheme on anisotropic meshes for general parabolic equations. Journal of Numerical Mathematics, 2024 (to be appear) 

8.  I. Toulopoulos, A unified time discontinuous Galerkin space-time finite element scheme for non-Newtonian power law models, Int J Numer Meth Fluids. 2023, 95(5):851-868. doi: 10.1002/fld.5170

9. I. Toulopoulos, Numerical solutions of quasilinear parabolic problems by a continuous space-time finite element scheme. vol. 44(5),pg. A2944-A2973, (2022), SIAM SISC

10.  S. Nakov and I. Toulopoulos. Convergence Estimates of Finite Elements for a Class of Quasilinear Elliptic Problems Computers and Mathematics with Applications,      104, pp. 87 - 112, (2021)  .

11.  I. Toulopoulos, A model and numerical investigation for rolling metal process using continuous finite element discretizations. International Journal of Computer Mathematics, Volume 99, - Issue 4, pp-641-564, 2022

12. C. Hofer, and I. Toulopoulos. Discontinuous Galerkin Isogeometric Analysis for parametrizations with overlapping regions,           Applicable Analysis, VOL. 100, NO. 13, pg,2749–2776, 2021 ,

13. C. Hofer, U. Langer, and I. Toulopoulos. Discontinuous Galerkin isogeometric analysis on non-matching segmentation: error estimates and efficient solvers. Journal of Applied Mathematics and Computing,  Volm 61, pp 297 - 336, 2019

14.  I. Toulopoulos. Space-time finite element methods stabilized using bubble function spaces, Applicable Analysis,  99:7, 1153-1170, 2018, doi: 10.1080/00036811.2018.1522630

15. C. Hofer, U. Langer, M. Neumüller and I. Toulopoulos. Time Discontinuous Galerkin Space-Time Isogeometric Analysis of Parabolic Problems, Electronic Transactions on Numerical Analysis, Volm 49, pp 126-150, 2018.

16.  A. Mantzaflaris, F. Scholz, I. Toulopoulos  Low-rank space-time decoupled isogeometric analysis for parabolic problems with varying coefficients, Comput.Methods Appl. Math. pp 1-14, vol  19 (1) , 2018 . 

17.  T. Malkmus, M. Růžička, S. Eckstein, I. Toulopoulos, Generalizations of SIP methods to systems with p-structure, (2017), IMA Journal of Numerical Analysis,  38(3):1420-1451,doi: 10.1093/imanum/drx040

18.  I. Toulopoulos and T. Wick. Numerical methods for power-law diffusion problems, (2017) SIAM Journal on ScientificComputing, . Vol 39, No 3, pp A681–A710

19.  C. Hofer, U. Langer, and I. Toulopoulos. Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps. SIAM Journal on Scientific Computing, 38(6),A3430 - A3460. (2016). 

20.  C. Hofer and I. Toulopoulos. Discontinuous Galerkin Isogeometric Analysis of Elliptic Problems on Segmentations with Non-matching Interfaces. Computers and Mathematics with Applications. 72(7): 1811–1827,2016 

21.  U. Langer and I. Toulopoulos. Analysis of Multipatch Discontinuous Galerkin IgA Approximations to Elliptic Boundary Value Problems. Computing and Visualization in Science, 17(5):217–233, 2016.

22.   U. Langer, A. Mantzaflaris, S.E. Moore, and I. Toulopoulos. Mesh grading in isogeometric analysis. Computers and Mathematics with Applications,70(7):1685–1700, 2015. 

23.  D. Kröner, M. Růžička, and I. Toulopoulos. Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier-Stokes equations. J. Comput. Phys., 270:182–202, 2014. 

24.  D. Kröner, M. Růžička, and I. Toulopoulos. Numerical solutions of systems with (p, δ)-structure using local discontinuous Galerkin finite element methods. Int. J. Numer. Methods Fluids, 76:855–874, 2014. 

25.  L. Diening, D. Kröner, M. Růžička, and I. Toulopoulos. A local discontinuous Galerkin approximation for systems with p-structure. IMA J. Numer. Anal., 34(4):1447–1488, 2013.  

26. I. Toulopoulos. An interior penalty discontinuous galerkin finite element method for quasilinear parabolic problems. Finite Elements in Analysis and Design, 95:42–50, 2014, doi:10.1016/j.finel.2014.11.001.

27.  I. Toulopoulos and C. Makridakis. A discontinuous galerkin scheme for the numerical solution of flow problems with discontinuities. Internat. J. Numer. Methods in Fluids, 68(5):582–604, 2012. 

28.  Toulopoulos I. and Ekaterinaris J. A. Artificial boundary conditions for the numerical solution of the Euler equations by the discontinuous Galerkin method. J. Comput. Phys., 230:5974–5995, 2011. 

29.  G. Arambatzis, P. Vavilis, I. Toulopoulos, and J. Ekaterinaris. Implicit High-Order Time-Marching Schemes for the Linearized Euler Equations. AIAA Journal, 45(8):1819–1826, 2007. DOI: 10.2514/1.25336 

30.  I. Toulopoulos and A. J. Ekaterinaris. High-Order Discontinuous Galerkin Discretizations for Computational Aeroacoustics in Complex Domains. AIAA Journal, 44(3):502–511, 2006. http://arc.aiaa.org/doi/abs/10.2514/1.11422 

Selected papers in proceedings, Conference books, accepted after review

• I. Toulopoulos   M. Jech1, G.  Vorlaufer A finite element scheme for viscoplastic models in hot-rolling processes  (ICCCM2019) VI. International Conference on Computational Contact Mechanics, Hannover, Germany 2019

• I. Toulopoulos Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps and Overlaps Computational Methods in Applied Mathematics (CMAM-7), July 31 - August 6, 2016, University of Jyväskylä„ Finland

•  U Langer, A. Mantzaflaris, S. E. Moore, I. Toulopoulos, Devising graded meshes for solving Elliptic problems by dGIgA method Proceedings of Special Interest Conferences ECCOMAS, “Third International Conference on IsogeometricAnalysis (IGA 2015), Trondheim, Norway on 1-3 June 2015

• T. Malkmus and I. Toulopoulos Numerical Solutions of p-Incompressible Navier Stokes Equations by the LDG Finite Element Method, European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012

•  I.Toulopoulos and J. Ekaterinaris Characteristic boundary conditions for the numerical solution of Euler Equations by the DG methods, ECCOMAS CFD 14-17 June 2010, Lisbon, Portugal. 

•  I. Toulopoulos and C. Makridakis A discontinuous Galerkin shock-capturing scheme for the numerical solution of compressible flow problems, Proceeding of Conference in Numerical Analysis (NumAn 2008), pages 195-200, 1-5 September 2008, Kalamata Greece, editors G. Akrivis,E. Gallopoulos, A. Hadjidimos, I. S. Kotsireas, D. Noutsos, M. N.  Vrahatis. 

•  I. Toulopoulos and J. A. Ekaterinaris On the Application of Filters for Discontinuity Capturing with High Order Discontinuous Galerkin Discritizations, International Workshop on High-order Finite Element Methods, 17-19 May 2007, Herrsching am Ammersee (near Munich), Germany. 

•  I. Toulopoulos and J. A. Ekaterinaris High order shock capturing discontinuous Galerkin schemes, Proceedings of  European Conference on Computational Fluid Dynamics, 5-8 September 2006, Egmond aan Zee, Holland, editors P. Wasseling, E. Onate, J. Periaux