An introduction to the finite element method. Part II: problems in R^N
Next: About this document ... Mohammad Asadzadeh
2017-03-15
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.
NTE3dimensional.pdf.
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.
pdf.
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.
pdf
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.
pdf.
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.
pdf.
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.
pdf.
20. M. Asadzadeh,
On the stability of characteristic schemes for the Fermi equation.
Appl. Comput. Math., 1 (2002), 158-174.
pdf.
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 26th International
Symposium on Rarefied Gas Daynamics (RGD26), Kyoto, Japan 20-25 July 2008.
American Institute of Physics (AIP), 1084 (2009), 99-104.
pdf
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.
pdf
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.
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 T. Geback,
Analytic Fermi-Eyges solution based on continuous slowing down
assumption. TTSP 41 (2012) no 5-6, pp 325-336.
pdf
or
40. M. Asadzadeh and T. Geback,
Spherical harmonics and Galerkin methods for the charged particle
transport equation. TTSP 41 (2012), pp 53-70.
pdf
or
41. M. Asadzadeh,
A new approach to Richardson extrapolation in the finite
ellement method.
11-13 July 2012, Azerbaijan Shahid Madani University,
Eds M. Jahanshai and N. Aghazadeh, (2012)
pp 1-10.
42. M. Asadzadeh,
Fokker-Planck operator as asymptotic limit,
Inverse kinetic model and FEMs for VPFP
43. M. Asadzadeh, D. Rostamy and F. Zabihi,
On convergence of discontinuous Galerkin and multiscale variational
schemes for a coupled
nonlinear system of Schrodinger equations.
Numerical Methods for Partial Differential Equations (2013),
pdf
44. M. Asadzadeh and E. Kazemi,
On convergence of $h$ and $hp$ finite element methods for the
three dimensional Fermi equation,
International Journal of Numerical Analysis and Modeling (IJNAM), Vol 10,
No 5, pp 860--875, (2013)
pdf
45. M. Asadzadeh and L. Beilina
Adaptive approximate globally convergent
algorithm with backscattered data. Springer Proceedings in Mathematics and Statistics, Vol 52, pp 1-20, (2013)
pdf
46. M. Asadzadeh, E. Hashemi and A. Kozakevicius,
ON Efficiency of combined Daubechies wavelets and statistical parameters
applied in mammography. Appl., Comp. Math., pp 289-306, (2013).
47. M. Asadzadeh,
On a Canonical form for Maxwell Equations and Convergence of
Finite Element Scheme
for Vlasov--Maxwell system.
Journal of Computational and Theoretical Transport, pp 1-16,
pdf, (2014).
48. M. Asadzadeh, E. Kazemi and R. Mokhtari,
Combined discrete-ordinates and streamline diffusion methods for
flows through a channel with arbitrary cross-section
based on the BGK model.
SIAM, Journal on Scientific Computing (2014), B729-B748.
pdf Also in SISC:
pdf
49. M. Asadzadeh and K. Bartoszek,
Convergence of finite volume scheme for three dimensional Poisson's equation.
Journal of Mathematical Sciences (JMS), Vol 202, No2, (2014), pp 130-153.
pdf
Source code
50. M. Asadzadeh and P. Kowalczyk,
Convergence analysis for backward Euler and
mixed discontinuous Galerkin methods
for the Vlasov--Poisson system,
Adv. Comput. Math. 41 (2015), no. 4, 833--852.
pdf,
pdf
51. A. Vidal-Ferrandiz, S. Gonzalez-Pintor, D. Ginestar, G. Verdu, M. Asadzadeh, C. Demaziere,
Use of disscontinuity factors in higher-order finite element methods.
Annals of Nuclear Energy 87 (2), (2016), 728--738.
52. M. Asadzadeh and D. Rostamy,
On multiscale variational streamline diffusion scheme for a
coupled nonlinear Telegraph system.
J. Comput. Theor. Transp. 45 (2016), no. 7, 509--527.
53. M. Asadzadeh and C. Standar,
A posteriori error estimates for
streamline-diffusion and discontinuous Galerkin methods
for the Vlasov--Maxwell system.
BIT 58 (2018), no. 1, 5--26.
pdf
54. M. Asadzadeh, P. Kowalczyk and C. Standar,
hp streamline-diffusion and discontinuous Galekin schemes
with Nitsche correction for the three dimensional Vlasov-Maxwell system.
Kinetic and Related Models, Vol 12, 105-131.
pdf
55. M. Asadzadeh, L. Beilina, M. Naseer and C. Standar,
A priori error estimates and computational studies for a Fermi
pencil-beam equation, arXiv:1606.05085;
Journal of Computational and
Theoretical Transport, 47:1-3, 125-151.
PDF
56. M. Asadzadeh, C. Standar
Approximating the nonlinear Schrödinger equation by a two level linear
implicit finite element method.
Journal of Mathematical Sciences, Vol. 239, No. 3, June 2019, pp. 233-247.
pdf
57. M. Asadzadeh, P. Kowalczyk and C. Standar
Convergence of hp streamline diffusion method
for Vlasov-Maxwell.
pdf.
To appear in Journal of Computational and Theoretical Transport
58. M. Asadzadeh and L. Beilina,
Convergence of stabilized $P1$ finite element schme for
time harmonic Maxwell's equations.
To appear in CIRM 2019, Springer.
pdf
59. A. G. Mylonakis abd M. Asadzadeh,
A finite volume method for the Fermi pencil-beam equation.
To appear in Neuclear Science and Engineering.
60. M. Asadzadeh and L. Beilina,
On stabilized $P1$ finite element approximation for
time harmonic Maxwell's equation. Submitted.
61. M. Asadzadeh and B. Nemati Saray,
Multiwavelets spectral element scheme for the generalized
generalized Cauchy problem for differential equations
Submitted.
62. M. Asadzadeh, L. Beilina
Convergence alalysis of a domain decomposition FE/FD method for
the Maxwell's equations in time domain.
In preparation.
63. M. Asadzadeh, S. Larsson and F. Saedpanah,
On finite element method for a semilinear parabolic problem with gradient
dependent nonlinearity. In preparation.
64. M. Asadzadeh, L. Beilina
Finite element approximation for an inverse problem in a
layered medium.
In preparation.
65. M. Asadzadeh, S. Brull
Discontinuous Galerkin approximation for the Vlasov-Poisson-BGK
system (a fixed point approach).
In preparation.
66. M. Asadzadeh, R. Sandboge, N. Eriksson and S. Larsson,
Subscale Finite Element Method For Nonlinear Systems of
Advection--Diffusion--Reaction Equations. I: Fundamental framework.
In preparation.
67. E. Ames, M. Asadzadeh, E. Kazemi and A. Logg,
A fully discrete scheme
based on combined Discrete-Ordinates and discontinuous Galerkin methods
for a flow described by the BGK model.
In preparation.
68. M. Asadzadeh and G. Zouraris,
A time spliting approach in a finite element approximation
of the nonlinear Schrödinger equations.
In preparation.
Books
Lecture Notes