A computational framework for Calderon projectors for Maxwell problems

Timo Betcke (UCL)

Calderon projectors are a fundamental building block for the design and analysis of integral equations in a wide range of settings and directly lead to preconditioners with excellent numerical properties. Within the Galerkin boundary element library BEM++ we have created an operator algebra to directly work with Calderon projectors and efficiently represent typical operations, including squaring, as a fundamental building block for complex formulations such as the implementation of multi-trace problems. We will give various interesting examples and show how this framework can be used to obtain stable software implementations of electric field, magnetic field and combined field integral equations.