Calderón projector - Alchetron, The Free Social Encyclopedia

In applied mathematics, the Calderón projector is a pseudo-differential operator used widely in boundary element methods. It is named after Alberto Calderón.

Definition

The interior Calderón projector is defined to be:

C = ( ( 1 − σ ) I d − K V W σ I d + K ′ ) ,

where σ is 1 2 almost everywhere, I d is the identity boundary operator, K is the double layer boundary operator, V is the single layer boundary operator, K ′ is the adjoint double layer boundary operator and W is the hypersingular boundary operator.

The exterior Calderón projector is defined to be:

C = ( σ I d + K − V − W ( 1 − σ ) I d − K ′ ) .

References

Calderón projector Wikipedia

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