Calderón projector
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:[1]
where is almost everywhere, is the , is the , is the , is the and is the .
The exterior Calderón projector is defined to be:[2]
References[]
- ^ Steinbach, Olaf (2008). Numerical Approximation Methods for Elliptic Boundary Value Problems. Springer. p. 137. ISBN 978-0-387-31312-2.
- ^ Steinbach, Olaf (2008). Numerical Approximation Methods for Elliptic Boundary Value Problems. Springer. p. 182. ISBN 978-0-387-31312-2.
Categories:
- Potential theory
- Partial differential equations
- Complex analysis
- Operator theory
- Numerical analysis