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I'm having some problems understanding an exercise. The domain $\Omega$ is the unit circle. Then it says:

"To mesh it with quadrilateral elements, compose $\Omega$ from five mapped squares, one of them being a square centered at the origin. Propose five analytical mappings, one for each square."

How is that supposed to look like? Am I mapping a cross kinda thing into a circle? And why squares and not a triangular mesh? Where are the benefits to that?

Chiray
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Here's (very roughly) what it looks like. The nearly-adjacent lines should be single lines, of course.

enter image description here

Why squares? Because this particular exercise is about meshing with quadrilateral elements. Why are quad elements sometimes good? Beats me...I don't work on meshes much.

John Hughes
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