Primer on NAO Operators

Operator Objects are mappings from one FunctionSpace to another. For example, an integral operator might map scalar functions on an interval to scalar functions on the same interval.

The Operator Class has an apply member function, which takes a member of the domain FunctionSpace and returns the appropriate member of the range FunctionSpace.

Some examples are:

• The differential operator d/dx takes a function from the real line into the real line and returns the same.
• The integral operator g(a)=\int_0^1 \int_0^1f(x,y+a)dxdy takes a function from the real plane into the real plane and returns a function from the real line into the real line.

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