Numerical Solutions of Helmholtz Equations
Using the Force
This project demonstated an interesting application in the use of parallel computing. Using Gauss and Jacobi methods, the solutions to the linear Helmholtz equations, Ax=b, were calculated with parallelized code. Time and speedup were analyzed using each method. A summary of these showed the advantages and disadvantages to solving problems in parallel. A major disadvantage occured when the size of the input matrices was relatively small. This caused the time for process startup to exceed calculation time. In opposition, when the size of the matrices increased, a definite decrease in computation time was witnessed. This very difficult material was presented clearly by Mirela. This truly was an informative presentation.
For details see Mirela's pages.