Universität Paderborn
Institut für Mathematik
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Dr.
rer. nat.
Kshitij Kulshreshtha
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Post Address:
Institut für Mathematik
Universität Paderborn
Warburger Straße 100
33098 Paderborn
Office:
Raum A3.235
Telephone: +49 (0) 5251 60 2723
Email: |
Clarification about the pronunciation of my name:
The following is how my name is written in the Devnagari script of my
mother tongue Hindi:
क्षितिज कुलश्रेष्ठ
A transliteration of my name in the International Phonetic Alphabet:
kʃɪʈɪʤ kʊlʃreçtʰ
(If you can't see the above Unicode characters then you need to install Unicode Fonts.)
Nach mehrere Versuche zu erklären, wie mein Name ausgesprochen werden
sollte, ist hier eine Annährung nach deutscher Phonetikregel:
"Kschittidsch Kullschrächth"
Sie könnten auch hören, wie ich meinen Namen
ausspreche. You could also hear the way I pronounce my name.
Academic Career:
I received my Masters Degree from Indian Institute of
Technology, Delhi, India, in Mathematics and Computing in August 2003.
I was at TU-Dresden for the summer from May till the middle of
July 2002 to work on Performance analysis and Optimisation on Parallel
FEM Codes.
I implemented a Parallel Mixed Finite Element Method for
solving
clamped Anisotropic plate bending problems, which is a generalisation
of
the Hellan Hermann Miyoshi method for Biharmonic PDE. This was
implemented
on a machine developed in India called PARAM 10000 using MPI. This
machine
is a 8 SPARC processor machine with a special intercommunication system
developed
by C-DAC in Pune, India called KSHIPRA. I ported the code onto the
Origin 2000, Origin 3800 and Cray T3E in ZHR and then optimised the
performance
of the code by using improved algorithms. I used direct
factorisation
to solve the linear system formed.
I was at Technische Universität Dresden from September 2003
working on
Iterative Solution methods for the Anisotropic plate bending problem
using another Mixed Finite Element method, which reduces to the Hellan
Hermann Johnson
scheme for the Biharmonic PDE.
Early in 2004 I
started
to research Quadratic Eigenvalue problems arising in external field
Acoustics
in association with
Prof. Andreas Griewank and got interested in the field of Shape Optimisation.
I
joined
HU Berlin as a doctoral student in October 2004 and started on my PhD Project in April 2005.
My work dealt
with Structural and Topological Optimisation. The PhD-Defense took place on October 4, 2010.
I have also contributed to the MATHEON Project on
General purpose, Linearly Invariant Algorithm for Large-Scale Nonlinear Programming and I am a co-author of the El-Rambo software package currently under development in this project.
Since June 2010 I am working with Prof. Dr. Andrea Walther in Paderborn on various aspects of her Algorithmic Differentiation package ADOL-C. My official homepage is here.
My other interests lie in the fields of:
- Programming Languages and Grammars
- Compiler Design Principles
- Operating Systems
- X.org graphics drivers and linux kernel graphics drivers
Publications:
- Kshitij Kulshreshtha, A Parallel Mixed Finite Element Implementation for
Approximation of Solution of Fourth Order Elliptic Source Problem
using the Domain Decomposition approach and Approximation of
Eigenvectors and Eigenvalues of Fourth Order Elliptic Eigenvalue
Problems using the Lanczos Method, Master's Thesis Indian Institute of Technology Delhi, May 2003. PDF
- Kshitij Kulshreshtha, Neela Nataraj and Michael Jung,
Performance of a parallel mixed finite element implementation
for fourth order clamped anisotropic plate bending problems in
distributed memory environments, Applied Mathematics and Computation,
Vol. 155, No. 3, pp753-777, 2004.
doi:10.1016/S0096-3003(03)00816-6, Available
online since 25. September 2003.
- Kshitij Kulshreshtha, Neela Nataraj and Michael Jung, A parallel
mixed finite element implementation of fourth order plate bending
problems in distributed memory environments, Applied Mathematics
and Computation, Vol 163, No. 1, pp253-274, 2005.
doi:10.1016/j.amc.2004.02.018, Available
online since 18. May 2004.
- Kshitij Kulshreshtha, Neela Nataraj and Michael Jung,
Performance of a Mixed Finite Element Implementation of Fourth Order
Clamped Anisotropic Plate Bending Problems in SIMD Distributed
Memory Environments, In Industrial Mathematics, eds. Mohan
C. Joshi, Amiya K. Pani, Sanjeev V. Sabnis. Narosa Publishing
House. 2006. pp265-278.
- Kshitij
Kulshreshtha, Neela Nataraj, A Parallel Mixed Finite Element
Implementation for Approximation of Eigenvalues and Eigenvectors of
Fourth Order Eigenvalue Problems. Journal of Sound and
Vibration, Vol 285, No. 4-5, pp. 1242-1254, 2005.
doi: 10.1016/j.jsv.2004.11.016 Available
online since 25. January 2005.
- Andreas Griewank and Kshitij Kulshreshtha, Modelling of elastic frames
with flexible beams and rigid joints. Cooperation Report, Volkswagen AG, December 2007.
- Kshitij Kulshreshtha, Modelling and optimisation of the design and topology of flexible frames with rigid joints. Ph.D. Thesis, Humboldt-Universität zu Berlin, October 2010. PDF
- A. Griewank, K. Kulshreshtha and A. Walther, On the Numerical Stability of Algorithmic Differentiation. Computing. Under Review.
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