Multirate Time Integration of Field/Circuit Coupled Problems by Schur Complements [chapter]

Sebastian Schöps, Andreas Bartel, Herbert De Gersem
2011 Mathematics in Industry  
When using distributed magnetoquasistatic field models as additional elements in electric circuit simulation, the field equations contribute with large symmetric linear systems that have to be solved. The naive coupling and solving (using direct solvers) is not always efficient, since the electric circuit is coupled only via coils, which are often represented only by a small subset of the unknowns. We revisit the Schur complement approach, give a physical interpretation and show that a
more » ... how that a heuristics for bypassing Newton iterations allow for efficient multirate timeintegration for the field/circuit coupled model.
doi:10.1007/978-3-642-22453-9_26 fatcat:iihsw6fejbglncypm5eyvvjpbu