Optimal convergence rates of mortar finite element methods for second-order elliptic problems
Faker Ben Belgacem, Padmanabhan Seshaiyer, Manil Suri (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present an improved, near-optimal error estimate for a non-conforming finite element method, called the mortar method (M0). We also present a new mortaring technique, called the mortar method (MP), and derive , and 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 also a viable mortaring technique for the method.