Scholarly
    Communications Project


Document Type:Master's Thesis
Name:Karthik Ramachandran
Email address:kramacha@vt.edu
URN:1998/00897
Title:Unstructured Finite Element Computations on Configurable Computers
Degree:Master of Science
Department:Bradley Department of Electrical and computer engineering
Committee Chair: Mark T. Jones
Chair's email:mtj@ee.vt.edu
Committee Members:James R. Armstrong
Peter M. Athanas
Keywords:CCM, FPGA, FEM, Configurable computing
Date of defense:August 3, 1998
Availability:Release the entire work immediately worldwide.

Abstract:

Scientific solutions to physical problems are computationally intensive. With the increasing emphasis in the area of Custom Computing Machines, many physical problems are being solved using configurable computers. The Finite Element Method (FEM) is an efficient way of solving physical problems such as heat equations, stress analysis and two- and three-dimensional Poisson's equations. This thesis presents the solution to physical problems using the FEM on a configurable platform. The core computational unit in an iterative solution to the FEM, the matrix-by-vector multiplication, is developed in this thesis along with the framework necessary for implementing the FEM solution. The solutions for 2-D and 3-D Poisson's equations are implemented with the use of an adaptive mesh refinement method. The dominant computation in the method is matrix-by-vector multiplication and is performed on the Wildforce board, a configurable platform. The matrix-by-vector multiplication units developed in this thesis are basic mathematical units implemented on a configurable platform and can be used to accelerate any mathematical solution that involves such an operation.

List of Attached Files

kramacha.pdf


The author grants to Virginia Tech or its agents the right to archive and display their thesis or dissertation in whole or in part in the University Libraries in all forms of media, now or hereafter known. The author retains all proprietary rights, such as patent rights. The author also retains the right to use in future works (such as articles or books) all or part of this thesis or dissertation.