3. Handling complex geometries
To deal with geometries other than the square and cube studied in the previous section, several choices are possible: we can use either a domain decomposition, or a domain transformation, or a combination of both (we do not present the latter choice for simplicity's sake). A special treatment of axisymmetric geometries, i.e. three-dimensional domains invariant by rotation around an axis, is also described.
3.1 Domain decomposition
Let Ω be an open of , d = 2 or 3, verifying the following property: there exists an overlap-free decomposition of Ω
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Bibliography
- (1) - ABRAMOWITZ (M.), STEGUN (I.A.) - Handbook of mathematical functions with formulas, graphs, and mathematical tables, vol. 55 of National Bureau of Standards Applied Mathematics Series - For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. (1964).
- (2)...
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