Virginia Selgas
A symmetric BEM--FEM coupling for the 3d magnetostatic problem using scalar potentials

Authors: P. Salgado (1) and V. Selgas (2)
(1) Departamento de Matemática Aplicada, Universidade de Santiago de Compostela (Spain)
(2) Departamento de Matemáticas, Universidade da Coruña (Spain)

In this talk, we introduce a new symmetric BEM-FEM method for solving the magnetostatic problem in the whole space R^3. This method is based on a formulation of the problem in terms of the total scalar potential (in the magnetic materials) and the reduced scalar potential (outside). This formulation is adequate even for magnetic materials that present non-trivial topologies and it leads to a convergent Galerkin method. We also provide an error estimate and report some numerical results which confirm the theoretical convergence behaviour.