Ph.D., Department of Computer Science
Rensselaer
Polytechnic Institute
Troy, NY 12180 Email:
id@cs.rpi.edu where id = ramakv
History
I came to RPI in Fall
2002. In May 2007 I obtained my Ph.D. from the Department
of Computer
Science
with
concentration in Computational
Science
Education
Ph.D., Computer Science, Rensselaer Polytechnic Institute,
Troy, NY, USA, 2007
M.S., Mechanical and Aerospace Engineering, University at
Buffalo,
Amherst, NY, USA, 2002
B.Tech., Mechanical Engineering, Indian Institute of Technology -
Madras,
Chennai, India, 2000
Dissertation
Singularly perturbed convection-diffusion
problems are very challenging to solve because the governing partial
differential equation is not self-adjoint.
Oscillations occur in the finite element solution when solved by
conventional
methods. To
reduce/eliminate these
oscillations we require a fine mesh in the regions containing the
layers.
We proposed a method to eliminate
these
oscillations while using a coarser mesh and the large errors
were
confined to the few elements containing the boundary layers.
Overview:
Proposed a
new approach for solving singularly perturbed
convection-diffusion problems in the finite
element framework. This involved the modification of
the test function
spaces resulting in a Petrov-Galerkin
method. The test function space was chosen to provide a
good approximation to the solution of a suitable dual
problem. Also proposed an error estimation strategy
for these problems
in the proposed finite element
framework.
Research
Interests
My
interests are very broad and some of the topics that interest me are:
Mathematical modeling
Scientific computation
Numerical Methods
Solving problems involving multiple scales
Error Estimation
High Performance Computing
Algorithms, C++ Programming, Software development
Problems which require an interdisciplinary approach
My interests can be broadly termed as using mathematics, computers
to solve problems in engineering and science.
Teaching
Experience
I
enjoy teaching and had the opportunity to be a teaching assistant for
graduate and undergraduate courses:
Teaching Assistant, Spring
2005 - Beginning C for Engineers
Teaching Assistant, Fall 2004 - Beginning C for Engineers
Teaching Assistant, Spring 2003 - Data Structures and Algorithms
Teaching Assistant, Fall 2002 - Data Structures and Algorithms
Teaching Assistant, Spring 2002 - Elasticity 1 (Graduate Course)
Teaching Assistant, Fall 2001 - Topics Finite Elements (Graduate
Course)
Teaching Assistant, Spring 2001 - Materials Lab
Teaching Assistant, Fall 2000 - Materials Lab
Selected
Coursework
Computer Architectures
Computer Algorithms
Generic Programming
Programming Languages
Computer Operating Systems
Computational Linear
Algebra
Numerical Solutions of ODEs
Numerical Solutions of PDEs
Finite Element Analysis
Introduction to Functional
Analysis
High Performance Computing
Optimization in
Engineering Design
Computational Fluid
Dynamics
Mathematics of Fluid
Mechanics
Publications/Conferences
Journal Publications
Viswanath
Ramakkagari and Joseph E. Flaherty, "A new stable method for
singularly perturbed convection-diffusion equations"
Computer Methods and Applied Mechanics in
Engineering, Accepted
Viswanath
Ramakkagari and Joseph E. Flaherty, "Error estimation for singularly
perturbed convection-diffusion equations"
(In preparation)
Conference Presentations
Viswanath
Ramakkagari and Joseph E. Flaherty, "A new stability method for
singularly perturbed convection-diffusion equations" 9th United States
National Congress on Computational Mechanics, San Francisco, CA, 2007
Viswanath Ramakkagari and Joseph E.
Flaherty, "A new stability method for singularly perturbed
convection-diffusion equations"
7th World Congress on Computational Mechanics, Los
Angeles, CA, 2006
Abani K. Patra and Viswanath Ramakkagari, "Goal oriented
error estimation for adaptive Lagrangian simulation of impact" 6th United States
National Congress on Computational Mechanics, Dearborn, MI, 2001