An introduction to the finite element method. Part II: problems in R^N (under preparation)
Next: About this document ... Mohammad Asadzadeh
2010-10-07
Department of Mathematics,
Chalmers University of Technology,
and
Göteborg University
List of Publications of Mohammad Asadzadeh
1. M. Asadzadeh,
Convergence analysis of some numerical methods for neutron
transport and Vlasov equations.
Ph. D. Thesis,
Chalmers University of Technology and the University of Göteborg, 1986.
2. M. Asadzadeh,
Analysis of a fully discrete scheme for neutron transport in
two-dimensional geometry.
SIAM J. Numer. Anal. 23(1986), 543-561.
Fully_Dis86.pdf.
3. M. Asadzadeh,
L2
-error estimates for discrete ordinates method for
three-dimensional neutron transport.
Transport Theory and Statistical Physics, 17(1988), 1-24.
4. M. Asadzadeh,
Numerical Approximations for Isotropic Neutron Transport Equation,
in the Discrete Kinetic Theory, Lattice Gas Dynamics
and Foundations of Hydrodynamics,
edited by I.S.I.-R. Monaco,
World Scientific Publishing Co. (1989), 6-16.
5. M. Asadzadeh,
Lp
and eigenvalue error estimates for two-dimensional neutron
transport.
SIAM J. Numer. Anal. 26(1989), 66-87.
L_p89.pdf.
6. M. Asadzadeh,
Streamline diffusion methods for the Vlasov-Poisson equations.
RAIRO Mathematical Modelling and Numerical Analysis ,
24(1990), 177-196.
7. M. Asadzadeh, P. Kumlin and S. Larsson
The discrete ordinates method for the neutron transport equation in
an infinite cylindrical domain.
Math. Models and Methods in Appl. Sci.
2(1992), 317-338.
8. M. Asadzadeh,
L1
-convergence of the discrete ordinates for the neutron
transport equation in an infinite cylindrical domain.
Nuclear Science and Engineering , 112 (1992), 383-391.
9. M. Asadzadeh,
A review of the one-speed neutron Transport Approximation.
Proceeding of 25eme Congress National D'analyse Numerique,
(1993), T1-T4.
10. M. Asadzadeh and K. Eriksson,
On adaptive finite element method for Fredholm integral
equations of the second kind.
SIAM J. Numer. Anal., 31(1994), 831-855.
IntegEqu.pdf.
11. M. Asadzadeh and D. Tomasevic,
On Varitional Nodal-Diffusion Approximations.
Transaction of American Nuclear Society, (1995), 171-173.
12. M. Asadzadeh,
Streamline diffusion methods for the Fermi and
Fokker-Planck equations.
Transport Theory and Statistical Physics, (1997), 319-340.
13. M. Asadzadeh,
On convergence of FEM for the Fokker-Planck equation.
Proceedings of 20th International Symposium on Rarefied Gas
Dynamics,
ed by C. Shen, Peking University Press, Beijing, (1997),
309-314.
14. M. Asadzadeh,
A finite element method for
the neutron transport equation in an infinite cylindrical domain.
SIAM J. Numer. Anal., 35(1998), 1299-1314.
Cylider_98.pdf.
15. M. Asadzadeh,
Characteristic Methods for Fokker-Planck and Fermi Pencil Beam
Equations.
Proceedings of 21th International Symposium on Rarefied Gas
Dynamics,
ed. by R. Brun et al , Vol II, 205-212, Marseille 1998.
16. M. Asadzadeh,
A posteriori error estimates for the Fokker-Planck and Fermi
pencil beam equations.
Math. Models and Methods in Appl. Sci.,
10(2000), 737-769.
M3AS_2000.pdf.
17. M. Asadzadeh,
Convergence of a discontinuous Galerkin scheme for the neutron
transport.
Transport Theory and Statistical Physics, (2001), 357-383.
18. M. Asadzadeh,
The Fokker-Planck operator as an asymptotic limit in anisotropic media.
Mathematics and Computer Modelling, 35 (2002), 1119-1133.
19. M. Asadzadeh and A. Sopasakis,
On Fully Discrete Schemes for the Fermi Pencil-Beam Equations.
Comput. Methods Appl. Mech. Engrg. 191 (2002), 4641-4659.
20. M. Asadzadeh,
On the stability of characteristic schemes for the Fermi equation.
Appl. Comput. Math., 1 (2002), 158-174.
21. M. Asadzadeh,
Asymptotic and Numerical Analysis of Charged Particle Beams.
Journal of Americam Institute of Physics, (2003) CD-Rom, Proceedings
of 23th RGD Symposium.
Whistler, Canada, July 20-20, (2002).
22. M. Asadzadeh and P. Kowalczyk,
Convergence of Streamline Diffusion Methods for the
Vlasov-Poisson-Fokker-Planck System.
Numer Methods Partial Differential Eqs., 21 (2005), 472-495.
Num_PDF.pdf.
23. F. A. Aliev, M. Asadzadeh, V. B. Larin, and N. I. Valieva,
An Inverse Problem of the Synthesis of Optimal Output Variable Regulators.
Appl. and Comput. Math., 5 (2006), 35-44.
24. M. Asadzadeh and A. Sopasakis,
A nodal method for absorption-diffusion problems.
Appl. and Comput. Math., 5 (2006), 45-58.
25. M. Asadzadeh and A. Kadem,
Chebyshev spectral-S_N method for the neutron transport equation.
Journal of Comp. Math. with Appl. 52 (2006), 509-524.
26. M. Asadzadeh and A. Sopasakis,
Convergence of a hp Streamline Diffusion Scheme for
Vlasov-Fokker-Planck system. Math. Mod. Meth. Appl. Sci., 17(2007), 1159-1182.
pdf.
27. M. Asadzadeh, F.A. Aliev, C.C. Arcasoy, V.B. Larin,
G. H. Mammadova, N. A. Safarova, and N. I. Velieva,
Computational Algorihms for Optimization Problems for Periodic Systems.
Preprint 2006:31. Department of Mathematics,
Chalmers University of Technology, Göteborg University.
28. M. Asadzadeh and E. W. Larsen,
Linear transport equations in flatland with small angular diffusion and
their finite
element approximations, Math and Computer Mod., 47(2008), 495-514.
pdf.
29. M. Asadzadeh, A. Schatz and W. Wendland,
A non-standard approach to Richardson extrapolation in the finite element
method
for second order elliptic problems. Math. Comp. 78 (2009), 1951-1973.
pdf
30. M. Asadzadeh,
On convergence of a h-p Streamline Diffusion and Discontinuous
Galerkin Methods for the
Vlasov-Poisson-Fokker-Planck System.
Proceedings of 26thInternational
Symposium on Rarefied Gas Daynamics (RGD26), Kyoto, Japan 20-25 July 2008.
American Institute of Physics (AIP), 1084 (2009), 99-104.
31. M. Asadzadeh and L. Thevenot,
On discontinuous Galerkin and discrete ordinates approximations for neutron
transport equation and the critical eigenvalue.
Polytecnico di Torino, 2009.
IL NUOVO CIMENTO, 33 (2010), 21-29. Proceedings of ICTT21.
32. M. Asadzadeh, A. Brahme and J. Kempe,
Ion transport in inhomogeneous media based on the
bipartition model for primary ions.
Computer and Mathematics with Applications. 60 (2010) 2445-2459.
pdf
33. M. Asadzadeh, A. Brahme and J. Xin,
Galerkin methods for primary ion transport in inhomogeneous media,
Kinet. Relat. Models 3 (2010), 373-394.
pdf
34. M. Asadzadeh and P. Kowalczyk,
Convergence of a mixed discontinuous Galerkin and finite volume scheme for
the 3 dimensional Vlasov--Poisson--Fokker--Planck system.
Proceedings of 8th Enumath, Uppsala University, (2010). 97-105.
35. M. Asadzadeh and L. Beilina,
A posteriori error analysis in
a globally convergent numerical method for a hyperbolic coefficient inverse.
Inverse Problem 26 (2010), 115007.
pdf
36. M. Asadzadeh, A. Schatz and W. Wendland,
Asymptotic error expansions for the finite element method
for second order elliptic problems in R_N, N>=2, I: Local interior expansions.
SIAM, J. Numer. Anal. Volume 48, Issue 5, pp. 2000-2017 (2010).
SINUM_74273.pdf
37. M. Asadzadeh and K. Bartoszek,
A combined discontinuous Galerkin and finite volume scheme for
multi-dimensional VPFP system. To appear in Proceedings of 27th International
Symposium on Rarefied Gas Daynamics (RGD27).
Proceedings of 27th RGD, Pacific Grove, CA, 10-27 July, 2010.
American Institute of Physics (AIP), Melville, New York, 2011, pp 57-63.
38. M. Asadzadeh, D. Rostamy, and F. Zabihi,
A posteriori error estimates for a coupled wave system with a local damping.
Journal of Mathematical Sciences (JMS), Vol. 175, No. 3, June (2011),
pp 228-248.
JMS175_2011.pdf or
MA2011.pdf
39. M. Asadzadeh and P. Kowalczyk,
Backward Euler and mixed discontinuous Galerkin methods
for the Vlasov--Poisson system, Part I: Convergence Analysis.
Preprint 2010:37.
Department of Mathematics,
Chalmers University of Technology and University of Gothenburg. Submitted
40 M. Asadzadeh and T. Geback,
Analytic Fermi-Eyges solution based on continuous slowing down
assumption. To appear in TTSP.
41. M. Asadzadeh and T. Geback,
Spherical harmonics and Galerkin methods for the charged particle
transport equation. To appear TTSP.
42. M. Asadzadeh and E. Kazemi,
On convergence of $h$ and $hp$ finite element methods for the
three dimensional Fermi equation.
Submitted.
43. M. Asadzadeh, D. Rostamy and F. Zabihi,
On converhence of discontinuous Galerkin and multiscale variational
schemes for a coupled
nonlinear system of Schrodinger equations.
Submitted.
44. M. Asadzadeh, R. Sandboge, S. Jakobsson and S. Larsson,
Subscale Finite Element Method For Nonlinear Systems of
Advection--Diffusion--Reaction Equations. I: Fundamental framework.
In preparation.
45. M. Asadzadeh, R. Sandboge, S. Jakobsson and S. Larsson,
Subscale Finite Element Method For Nonlinear Systems of
Advection--Diffusion--Reaction Equations. II: Stabilization.
In preparation
46. M. Asadzadeh and E. Kazemi,
Combined discrete-ordinates and streamline diffusion methods for
flows through a channel with arbitrary cross-section
based on the BGK model.
In preparation.
47. M. Asadzadeh and P. Kowalczyk,
Backward Euler and mixed discontinuous Galerkin methods
for the Vlasov--Poisson system, Part II: Numerical Investigations.
In preparation.
48. M. Asadzadeh and P. Kowalczyk,
On convergence of streamline-diffusion and discontinuous Galerkin methods
for the Vlasov--Maxwell system.
In preparation.
Books
Lecture Notes