University of CreteUniversity of Crete -  Department of Mathematics and Applied Mathematics
               Panagiotis Chatzipantelidis
       
               Associate Professor
                                  Research
Research Interests

Publications
    1. Numerical Solution of Partial Differential Equations, (with M. Plexousakis), (pdf, html), (electronic book in greek, location:
       http://hdl.handle.net/11419/665), Hellenic Academic Ebooks, Athens, (2016).
  1. Explicit multistep methods for nonstiff partial differential equations, Applied Numerical Mathematics, 27, (1998), 13-31.
  2. A finite volume method based on the Crouzeix-Raviart element for  elliptic pde's in two dimensions, Numeriche Mathematik, 82, (1999), 409-432.
  3. Finite volume methods for elliptic pde's: A new approach, M2AN Mathematical Modelling and Numerical Analysis, 36, (2002), 307-324.
  4. On solving elliptic stochastic partial differential equations, (with I. Babuska), Computer Methods in Applied Mechanics and  Engineering, 191, (2002), 4093-4122.
  5. The finite volume element method in nonconvex polygonal domains, (with R. Lazarov), Finite Volumes for Complex Applications III, ed. R. Herbin and D. Kroner, Hermes Penton Science, London, (2002), 171--178. (Refereed conference).
  6. A-posteriori error estimates for a finite volume method for the Stokes problem in two dimensions, (with Ch. Makridakis and M. Plexousakis), Applied Numerical Mathematics,  46, (2003), 45-58.
  7. Error estimates for a finite volume element method for parabolic equations in convex polygonal domains, (with R. Lazarov and V. Thomee), Numerical Methods for PDE's, 20, (2004), 650-674, and Technical Report ISC-MATH-03-03, Texas A&M University.
  8. Error estimates for a  finite volume element method for elliptic pde's in nonconvex polygonal domains, (with R. Lazarov),  SIAM Journal on Numerical Analysis, 42, (2005), 1932-1958, and Technical Report ISC-MATH-03-04, Texas A&M University.
  9. A finite volume element method for a nonlinear elliptic problem, (with R. Lazarov and V. Ginting), Numerical Linear Algebra with Applications, 12, 515-546, (2005), and  Technical Report ISC-MATH-04-06, Texas A&M University.
  10. Parabolic finite element equations in nonconvex polygonal domains, (with R. Lazarov,  V. Thomee and L.B. Wahlbin), BIT  Numerical Mathematics, 46, 113-143, (2006).
  11. Parabolic finite volume element equations in nonconvex  polygonal domains, (with R. Lazarov and  V. Thomee ), Numerical Methods for PDE's, 25, 507-525, (2009).
  12. A posteriori error estimates for the BDF2 method for parabolic equations, (with G. Akrivis),  SIAM Journal on Numerical Analysis, 48,  (2010), 109-132.
  13. Some error estimates for the lumped mass finite element method for a parabolic problem, (with R. Lazarov and  V. Thomee),  Mathematics of Computation,  81, 1-20, (2012).
  14. Some error estimates for the  finite volume element method for a parabolic problem, (with R. Lazarov and  V. Thomee),  Computational Methods in Applied Mathematics, 13, 251-279, (2013).
  15. A finite volume element method for a nonlinear parabolic problem, (with V. Ginting),  Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications, Springer Proceedings in Mathematics & Statistics, Vol. 45,  121–136, (2013).
  16. On preservation of positivity in some finite element methods for the heat equation, (with Z. Horvarth and  V. Thomee),  Computational Methods in Applied Mathematics, 15, 417-437, (2015).