Why Mathematicians Are Still Necessary to Industry Since Engineers Can Do Everything?

Contents

Why Mathematicians Are Still Necessary to Industry Since Engineers Can Do Everything?

What have

Solving PDEs

Solving huge systems of eqns.

Comparison for N=27.000

First summary

Mathematician’s point of view

Optimal solver: multigrid

Grid hierarchy I

Grid hierarchy II

Variants of MG

Classical MG

Adaptive MG

Algebraic MG (AMG)

When do we loose M-property?

Second Summary

AMG and practical problems

A gray box AMG solver

Final Summary

Thanks To

E-Mail: ghaase@numa.uni-linz.ac.at

Homepage: http://nathan.numa.uni-linz.ac.at/Staff/ghaase/haase.html

Further information:
Frame of the presentation in Lexington/Norfolk