This study is an evaluation of a method of improving the multigrid process by cor recting error spikes which are generated when moving from a coarser to finer level. The correction method was tested on nine one-dimensional problems governed by second order differential equations. Tests were performed with an accomodative, full approximation scheme, full multi-grid algorithm.
Results indicate that appropriate implementation of the correction can increase so lution accuracy. Accuracy was increased in 75% of cases in which a single correction was applied to a point in the central portion of the grid. Single corrections performed on points with error greater than the average error were effective 86% of the time. Further study is required to determine a method of identifying this scenario.
Library of Congress Subject Headings
Multigrid methods (Numerical analysis); Computational grids (Computer systems); Fluid dynamics--Computer systems; Differential equations, Partial--Numerical solutions
Mechanical Engineering (MS)
Department, Program, or Center
Mechanical Engineering (KGCOE)
McMichael, Erika L., "An Evaluation Of A Multigrid Algorithm Error Spike Correction Method" (2005). Thesis. Rochester Institute of Technology. Accessed from
RIT – Main Campus
Physical copy available from RIT's Wallace Library at QA377 .M36 2005