A time domain Galerkin boundary element method for a heat conduction interface problem

A heat conduction problem with a material or other type interface is solved. The numerical method used includes a boundary element technique presented as a Galerkin boundary element method for the space variables together with convolution quadrature in time. The treatment of the interface conditions enabled them to be formulated in a weak sense, with generally curved interfaces and independent meshing of each side of the interfaces. Results of the examples present influences of non-conformingly meshed interfaces, a comparison with a known analytical solution, and the time evolution of the interface solution with different material properties of the substructures adjacent to the interface.