Homepage of Nguyen Dang Manh
PhD student
Department
of Mathematics - Technical University of Denmark
Contact
details:
Department of Mathematics
Technical University of Denmark
Matematiktorvet 303S, room 045
2800 Kgs. Lyngby
Denmark
Tel. no.: +45 45 25 30 37
Fax : +45 45 88 13 99
Email : D.M.Nguyen(at)mat.dtu.dk
Name
My full name in Vietnamese is Nguyễn Đăng Mạnh, in the
order: surname-middle name-first name.
My PhD project
The title of my PhD project is "Iso-geometric analysis and shape optimization in electromagnetism".
My supervisors are Anton Evgrafov ,
Jens Gravesen (main) .
( Allan Roulund Gersborg was one of my supervisors. In June 2010, Gersborg changed his organization).
The period
of my project is February 2009 - February 2012.
My research
I
am a member of a new research group in Department of
Mathematics, namely Isogeometric analysis and shape optimization.
I
am also a member of the Topology Optimization Research group.
We first
consider isogeometric shape optimization from the
methodological point of view. To this end, we investigate how to extend a B-spline parametrization of a
domain from the boundary to its interior in an inexpensive and robust way:
Isogeometric
shape optimization of vibrating membranes (downloadme)
(with A. Evgrafov, A.R. Gersborg,
and J. Gravesen), Computer
Methods in Applied Mechanics and Engineering, 200, 1343-1353, 2011. DOI:10.1016/j.cma.2010.12.015
For constraining
multiple eigenvalues of the Laplacian
operator, we need to find smooth replacements:
On the
sensitivities of multiple eigenvalues (With
J. Gravesen, and A. Evgrafov),
Structural
and Multidisciplinary optimization, DOI:
10.1007/s00158-011-0644-9.
For shape
optimization and isogeometric analysis methods, see
Isogeometric
analysis and shape optimisation (With
J. Gravesen, A. Evgrafov,
A.R. Gersborg, and P.N. Nielsen), in Proceedings of 23rd Nordic Seminar on Computational Mechanics,
(A. Erikson and G. Tibert eds.), Stockholm 2010, pp.
14-17.
We then
moved on electromagnetics. Our first task is
utilizing isogeometric analysis to simulate
electromagnetic models:
Isogeometric
analysis toward shape optimization in electromagnetics (with
A. Evgrafov, J. Gravesen,
and J.S. Jensen), Proceedings of 23rd Nordic Seminar on Computational Mechanics,
(A. Erikson and G. Tibert eds.), Stockholm 2010, pp.
18-21.
We now have
results for improving efficiency of wireless energy transfer:
Shape
optimization of sub-wavelength antennas using isogeometric
analysis (with A. Evgrafov, J. Gravesen), International Journal for
Numerical Methods in Engineering, submitted.
On going:
Isogeometric
analysis modeling and optimization of nano-dimensional
golden antennas, in collaboration with a physics
group at University of Southern Denmark.
We finally
got new results for a joint problem with Domenico Lahaye, Delft University of Technology. A first corresponding
paper is being finished:
Economical
designs of magnetic density separators using isogeometric
analysis and shape optimization (with A. Evgrafov, J.
Gravesen, D. Lahaye),, Structural and
Multidisciplinary optimization, to be submitted.
Scientific employments
2006
– 2008: Department
of Mathematics, Mechanics, and Informatics, Hanoi University of Science.
2009-present:
Department
of Mathematics, Technical University of Denmark.
May-June/2011:
Delft
Institute of Applied Mathematics, Faculty Electrical Engineering, Mathematics
and Computer Science, Delft University of Technology (guest researcher).
Dissertations
Nguyen Dang Manh, On Banach algebras and
von Neumann inequalities, Bachelor thesis, Vietnam National University,
Hanoi, 2006. My adviser was Tran Duc Long, Department
of Mathematics-Mechanics-Informatics, Hanoi College of Science, Vietnam National
University, Hanoi.
Nguyen
Dang Manh, Equivariant
KK-theory and the structure of non-commutative homogeneous spaces, Master
thesis, Vietnam National University, Hanoi, 2008. Full text. My adviser was Do Ngoc Diep, Department of
Geometry and Topology, Institute of Mathematics, Vietnam.
Conference Presentations (downloadable-to be updated)
1. New
Trends in Applied Geometry, Bad Herrenalb, Germany,
Feb 14-19, 2010.
Talk: Isogeometric Design of Vibrating Membranes.
2.
IV European Conference on Computational Mechanics, Paris, France, May 16-21, 2010.
Talk: Isogeometric Shape Optimization of Vibrating
Membranes.
3.
Non-Standard Numerical Methods for PDE's, Pavia, Italy, June 29-July 2, 2010.
Talk (with
P.N. Nielsen): Isogeometric Shape Optimization.
4.
9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics, Sydney, Australia, 19-23 July 2010.
Talk: Isogeometric Shape Optimization of freely varying
shapes.
5. 23rd Nordic Seminar on Computational
Mechanics, Stockholm, Sweden, October 21-22, 2010.
Talk: Isogeometric
Analysis toward Shape Optimization in Electromagnetics.
6. Isogeometric Analysis 2011: Integrating Design and Analysis,
Austin, Texas, US, January 13-15, 2011.
Talk: Isogeometric
Shape Optimization in Electromagnetics (downloadme).
7. New Trends in Applied Geometry, Hurdal, Norway, February 20-25, 2011.
Talk: Isogeometric
Shape Optimization of Magnetic Resonators.
8. at Institute of Applied Mathematics, Delft
University of Technology, The Netherlands, May, 2011.
Talk: Shape optimization using isogeometric analysis of sub-wavelength antennas (downloadme).
9. The
Third Annual School in the framework of EU Marie-Curie Network SAGA,
Vilnius, Lithuania, September 27-30th, 2011.
Talk: Isogeometric
analysis modeling and shape optimization of a magnetic density separator (downloadme).
10. SIAM Conference on Geometric and
Physical Modeling, Orlando, Florida, USA, October 24-27th, 2011.
Poster: Shape optimization of antennas using isogeometric analysis (downloadme).
Teaching Assistance
In Vietnam:
Calculus I-IV, Department of Mathematics-Mechanics-Informatics, Hanoi College of
Science, Vietnam National University, Hanoi.
In Denmark:
01330 Mathematics 3 – Entrance to Advanced Mathematics, DTU Mathematics
01234 Differential Geometry with Applications, DTU Mathematics
Computer experience
This page was updated on June,
2011