We develop a conservative cut finite element method for an elliptic coupled bulk-interface problem. The is based on discontinuous Galerkin framework where stabilization added in such way that we retain conservation macroelements containing one with large intersection the domain and possibly number of elements small intersections. derive error estimates present confirming numerical results.

MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite element methods that features arbitrary high-order meshes spaces, support a wide variety of discretization approaches emphasis on usability, portability, high-performance computing efficiency. MFEM’s goal to provide application scientists with access cutting-edge algorithms meshing, discretizations linear ...