Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems

We consider a hybrid FEM-BEM method to compute approximations of full space linear elliptic transmission problems. First, we derive a priori and a posteriori error estimates. Then, building on the latter, we present an adaptive algorithm and prove that it converges at optimal rates with respect to the number of mesh elements. Finally, we provide numerical experiments, demonstrating the practical performance of the adaptive algorithm.