Optimal convergence rates of hp mortar finite element methods for second-order elliptic problems
Faker Ben Belgacem, Padmanabhan Seshaiyer and Manil SuriWe present an improved, near-optimal hp error estimate for a non-conforming finite element methods, called the mortar method M0. We also present a new hp mortaring technique, called the mortar method MP, and derive h,p and hp error estimates for it, in the presence of quasiuniform and non-quasiuniform meshes. Our theoretical results, augmented by the computational evidence we present, show that like M0, MP is aslo a viable mortaring technique for the hp method.