Here are the Postscript file:homework3.ps and the LaTeX file:homework3.tex.

Math 228C Computational Assignment 3 Spring 1999

Due: Monday, May 24, 1999

1.

Finish 2D Poisson solver with Multi-Grid V-Cycle and test it on

with initial guess $\vec u^0=(1,1,1,\cdots,1)$.

2.

Solve

with velocity $\vec {\textbf u}$ given by

(a)

$\vec {\textbf u}(x,y)=(1,1)$ for all (x,y).

(b)

$\vec {\textbf u}(x,y)=(-y,x)$.

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