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Calderón projector

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

Definition

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The interior Calderón projector is defined to be:[1]: 137 

where is almost everywhere, is the identity boundary operator, is the double layer boundary operator, is the single layer boundary operator, is the adjoint double layer boundary operator and is the hypersingular boundary operator.

The exterior Calderón projector is defined to be:[1]: 182 

References

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  1. ^ a b Steinbach, Olaf (2008). Numerical Approximation Methods for Elliptic Boundary Value Problems. Springer. ISBN 978-0-387-31312-2.