Ph.D., Department of Computer Science
Rensselaer Polytechnic Institute
Troy, NY 12180
Email: id@cs.rpi.edu  where  id = ramakv 


History

Education

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.

   Title: A new stability method for singularly perturbed convection-diffusion equations.
   Adviser: Professor Emeritus Joseph E. Flaherty
  
   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:
       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:

Selected Coursework 

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

Other Interests

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